Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze412.0ms (4.4%)

Memory

-16.0MiB live, 743.9MiB allocated; 69ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	4
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	5
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	6
15.4%	12.5%	68.6%	0.2%	0%	18.7%	0%	7
16.7%	12.5%	62.3%	0.2%	0%	24.9%	0%	8
20%	14%	56.1%	0.2%	0%	29.6%	0%	9
20%	14%	56.1%	0.2%	0%	29.6%	0%	10
20%	14%	56.1%	0.2%	0%	29.6%	0%	11
22.9%	14.8%	49.9%	0.2%	0%	35.1%	0%	12

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample4.2s (44.9%)

Memory

163.7MiB live, 5 993.9MiB allocated; 871ms collecting garbage

Samples

1.8s	12 991×	0	invalid
1.4s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-mult!: 687.0ms (30.6% of total)

ival-pow: 606.0ms (27% of total)

ival-div!: 581.0ms (25.9% of total)

ival-pow2: 296.0ms (13.2% of total)

ival-sub!: 73.0ms (3.2% of total)

adjust: 4.0ms (0.2% of total)

Bogosity

explain320.0ms (3.4%)

Memory

-29.7MiB live, 631.9MiB allocated; 57ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
66	-	4	(1.9210557140358624e-107 5.126546833988261e+208 4.218414653139617e+307 7.591850711135393e-88 2.3324401557105985e-184)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
65	-	6	(1.0059251676426292e-286 1.0011033175067907e+270 2.272959041148601e+26 -1.0892418699186952e-134 9.17377612164982e-298)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
40	-	2	(-2.7267064146005928e+188 -1.917633400109828e+187 -1.6071873361836764e+29 -5.79818385258774e+102 1.856918099619877e-72)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
32	-	3	(-1.2323032653880774e-29 -7.69008301186834e+248 -5.590264936161001e-186 -7.346462161549283e-121 -2.4579624194993347e-191)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
28	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	33	0
↳	`(/.f64 d h)`	overflow	33
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	30	0
↳	`(/.f64 d l)`	overflow	30
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	29	0
↳	`(/.f64 d l)`	underflow	29
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	29	0
↳	`(/.f64 d h)`	underflow	29
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	14	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	11	0
↳	`(*.f64 M D)`	overflow	33
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	11	0
↳	`(/.f64 d h)`	underflow	29
↳	`(/.f64 d l)`	underflow	29
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	21
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	85
↳	`(/.f64 h l)`	overflow	32
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	93
↳	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	overflow	93
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	45
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	85
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	5	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	3	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	85
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	45
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	85
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(/.f64 h l)`	underflow	28
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/o	1	0
↳	`(*.f64 M D)`	overflow	33
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	89
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	89
↳	`(*.f64 M D)`	underflow	36
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	39
↳	`(/.f64 h l)`	overflow	32
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	36

Confusion

	Predicted +	Predicted -
+	81	10
-	36	129

Precision

0.6923076923076923

Recall

0.8901098901098901

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	10
-	36	0	129

Precision?

0.6923076923076923

Recall?

0.8901098901098901

Freqs

test

number	freq
0	139
1	73
2	35
3	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

87.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-pow: 21.0ms (39.5% of total)

ival-mult!: 13.0ms (24.4% of total)

ival-div!: 12.0ms (22.6% of total)

ival-pow2: 6.0ms (11.3% of total)

ival-sub!: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

preprocess47.0ms (0.5%)

Memory

-1.1MiB live, 48.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	588
1	546	580
2	2128	575
3	6640	575

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

66.1%

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

Symmetry

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 70 to 44 computations (37.1% saved)

series159.0ms (1.7%)

Memory

23.2MiB live, 159.2MiB allocated; 14ms collecting garbage

Counts

22 → 48

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
44.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
44.0ms	l	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
14.0ms	D	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
10.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
7.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))

rewrite71.0ms (0.8%)

Memory

24.7MiB live, 115.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1681
0	254	1533
0	981	1518

Stop Event

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

Counts

70 → 102

Calls

Call 1

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

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

eval11.0ms (0.1%)

Memory: -21.5MiB live, 24.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 232 to 498 computations (88.2% saved)

prune20.0ms (0.2%)

Memory

-3.7MiB live, 42.6MiB allocated; 3ms collecting garbage

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	73	22	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	22	96

Accuracy

89.8%

Counts

96 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	42.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))))))
▶	69.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	45.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
	18.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (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 -1/8 binary64))))
	41.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	32.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	64.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	35.2%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.3%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))))
	38.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	37.0%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	18.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 (.f64 (.f64 h h) h) (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) (.f64 D D))) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	16.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1 binary64) (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64)))
	15.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	28.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
▶	26.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))

Compiler

Compiled 2 106 to 1 276 computations (39.4% saved)

series195.0ms (2.1%)

Memory

-44.2MiB live, 279.3MiB allocated; 116ms collecting garbage

Counts

58 → 156

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
69.0ms	d	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) (* (* (* M M) (* D D)) (sqrt (* l h))) (* (* M M) (* D D)) (* M M) (* D D) (sqrt (* l h)) -1/8 (* (sqrt (/ (* (* l l) l) h)) d) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
15.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) (* (* (* M M) (* D D)) (sqrt (* l h))) (* (* M M) (* D D)) (* M M) (* D D) (sqrt (* l h)) -1/8 (* (sqrt (/ (* (* l l) l) h)) d) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
13.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) (* (* (* M M) (* D D)) (sqrt (* l h))) (* (* M M) (* D D)) (* M M) (* D D) (sqrt (* l h)) -1/8 (* (sqrt (/ (* (* l l) l) h)) d) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
10.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) (* (* (* M M) (* D D)) (sqrt (* l h))) (* (* M M) (* D D)) (* M M) (* D D) (sqrt (* l h)) -1/8 (* (sqrt (/ (* (* l l) l) h)) d) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
9.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) (* (* (* M M) (* D D)) (sqrt (* l h))) (* (* M M) (* D D)) (* M M) (* D D) (sqrt (* l h)) -1/8 (* (sqrt (/ (* (* l l) l) h)) d) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))

rewrite81.0ms (0.9%)

Memory

36.8MiB live, 130.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	483	6769
0	565	5858
0	1864	5800

Stop Event

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

Counts

214 → 360

Calls

Call 1

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

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

eval64.0ms (0.7%)

Memory: -28.8MiB live, 64.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 18 243 to 1 613 computations (91.2% saved)

prune70.0ms (0.7%)

Memory

8.2MiB live, 55.5MiB allocated; 2ms collecting garbage

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	298	25	323
Fresh	14	3	17
Picked	4	1	5
Done	0	0	0
Total	316	29	345

Accuracy

92.1%

Counts

345 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(.f64 (/.f64 (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d l))) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
▶	64.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
▶	36.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) #s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	55.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (*.f64 d d)) #s(literal 1/8 binary64))) h) l)))
	41.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	69.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	67.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
▶	69.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	64.5%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l)))))
	37.0%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	42.4%	(.f64 #s(approx ( (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	40.1%	(.f64 #s(approx ( (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	22.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	20.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 (.f64 (.f64 h h) h) (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	19.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) D) D)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	18.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) l) l))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 d d)) (sqrt.f64 (.f64 l h))) #s(literal -1/8 binary64) (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h)))) d)) (.f64 l l)))
	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 l h)) (.f64 (.f64 (.f64 M M) D) D)) d) #s(literal -1/8 binary64))) (*.f64 l l)))
	10.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) (.f64 l l)))
	11.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 d (neg.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h)))))) (.f64 l l)))
	21.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 d d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d))
▶	26.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
▶	16.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1 binary64) (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64)))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
✓	26.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	28.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
	32.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 l l) l) h)))) d) #s(literal 1/8 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 h h) h) l))) d))) h)))

Compiler

Compiled 3 130 to 1 938 computations (38.1% saved)

series140.0ms (1.5%)

Memory

44.7MiB live, 273.3MiB allocated; 24ms collecting garbage

Counts

53 → 137

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
22.0ms	d	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) (* (* D D) (/ (* -1 (* M M)) d)) (* D D) (/ (* -1 (* M M)) d) (* -1 (* M M)) -1 (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (sqrt (/ d l)) (sqrt (/ d h)))))
11.0ms	d	@	inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) (* (* D D) (/ (* -1 (* M M)) d)) (* D D) (/ (* -1 (* M M)) d) (* -1 (* M M)) -1 (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (sqrt (/ d l)) (sqrt (/ d h)))))
11.0ms	h	@	0	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) (* (* D D) (/ (* -1 (* M M)) d)) (* D D) (/ (* -1 (* M M)) d) (* -1 (* M M)) -1 (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (sqrt (/ d l)) (sqrt (/ d h)))))
9.0ms	h	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) (* (* D D) (/ (* -1 (* M M)) d)) (* D D) (/ (* -1 (* M M)) d) (* -1 (* M M)) -1 (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (sqrt (/ d l)) (sqrt (/ d h)))))
9.0ms	d	@	0	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) (* (* D D) (/ (* -1 (* M M)) d)) (* D D) (/ (* -1 (* M M)) d) (* -1 (* M M)) -1 (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (sqrt (/ d l)) (sqrt (/ d h)))))

rewrite85.0ms (0.9%)

Memory

-12.9MiB live, 135.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	406	6190
0	482	5164
0	1465	5112

Stop Event

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

Counts

190 → 336

Calls

Call 1

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

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

eval38.0ms (0.4%)

Memory: -21.1MiB live, 76.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 14 817 to 1 512 computations (89.8% saved)

prune34.0ms (0.4%)

Memory

-14.3MiB live, 79.9MiB allocated; 5ms collecting garbage

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	302	19	321
Fresh	11	12	23
Picked	3	2	5
Done	0	1	1
Total	316	34	350

Accuracy

92.1%

Counts

350 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	35.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)))
	64.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 (.f64 D (/.f64 (.f64 D M) (+.f64 d d))) (+.f64 d d)))) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	64.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) (.f64 (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 d h))))
✓	64.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	51.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	32.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (.f64 (/.f64 D (+.f64 d d)) (/.f64 D (+.f64 d d))) M))) (/.f64 h l))) #s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	48.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M #s(approx (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) M)) (.f64 d d))))) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	25.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M #s(approx (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) M)) (.f64 d d))))) (/.f64 h l))) #s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	64.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	69.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (.f64 (/.f64 (*.f64 D M) (+.f64 d d)) #s(literal 1/2 binary64))) h) l)))
	48.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) h) l)))
	18.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	41.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) #s(literal 1 binary64)))
	56.4%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	38.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	42.4%	(.f64 #s(approx ( (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	40.1%	(.f64 #s(approx ( (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	22.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	20.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	18.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) l) l))
▶	26.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 #s(literal 1 binary64) d) (sqrt.f64 (.f64 h l))))
	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 l h)) (.f64 (.f64 (.f64 M M) D) D)) d) #s(literal -1/8 binary64))) (*.f64 l l)))
	10.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) (.f64 l l)))
	11.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 d (neg.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h)))))) (.f64 l l)))
▶	21.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 d d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d))
	24.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	26.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1 binary64) (.f64 M M)) d)) (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l))) #s(literal -1/8 binary64)))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D (.f64 D (neg.f64 (/.f64 (.f64 M M) d)))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64)))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
✓	26.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	28.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
▶	16.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l))))))

Compiler

Compiled 3 301 to 2 070 computations (37.3% saved)

series131.0ms (1.4%)

Memory

16.8MiB live, 251.5MiB allocated; 15ms collecting garbage

Counts

61 → 156

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
11.0ms	d	@	inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l)) 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l) (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) (/ (* D M) (+ d d)) (* D M) D M (+ d d) (* (/ (* D M) (+ d d)) 1/2) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* 1 d) (sqrt (* h l))) (* 1 d) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (* (* 1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (* (* l l) l)))) (* 1/8 (* (* D D) (/ (* M M) d))) 1/8 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) -1/8) (sqrt (/ 1 (* l h)))) d) (+ (* (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) -1/8) (sqrt (/ 1 (* l h)))) (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) (/ (* (* (* M M) D) D) (* d d)) (* (* (* M M) D) D) (* (* M M) D) (* d d) -1/8 (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (- 1 (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (sqrt (* (/ d l) (/ d h)))) (- 1 (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l)) (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) (* (/ (* D M) (+ d d)) (/ D (+ d d))) (/ D (+ d d)) (/ h l) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)))
11.0ms	h	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l)) 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l) (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) (/ (* D M) (+ d d)) (* D M) D M (+ d d) (* (/ (* D M) (+ d d)) 1/2) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* 1 d) (sqrt (* h l))) (* 1 d) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (* (* 1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (* (* l l) l)))) (* 1/8 (* (* D D) (/ (* M M) d))) 1/8 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) -1/8) (sqrt (/ 1 (* l h)))) d) (+ (* (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) -1/8) (sqrt (/ 1 (* l h)))) (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) (/ (* (* (* M M) D) D) (* d d)) (* (* (* M M) D) D) (* (* M M) D) (* d d) -1/8 (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (- 1 (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (sqrt (* (/ d l) (/ d h)))) (- 1 (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l)) (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) (* (/ (* D M) (+ d d)) (/ D (+ d d))) (/ D (+ d d)) (/ h l) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)))
11.0ms	d	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l)) 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l) (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) (/ (* D M) (+ d d)) (* D M) D M (+ d d) (* (/ (* D M) (+ d d)) 1/2) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* 1 d) (sqrt (* h l))) (* 1 d) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (* (* 1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (* (* l l) l)))) (* 1/8 (* (* D D) (/ (* M M) d))) 1/8 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) -1/8) (sqrt (/ 1 (* l h)))) d) (+ (* (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) -1/8) (sqrt (/ 1 (* l h)))) (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) (/ (* (* (* M M) D) D) (* d d)) (* (* (* M M) D) D) (* (* M M) D) (* d d) -1/8 (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (- 1 (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (sqrt (* (/ d l) (/ d h)))) (- 1 (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l)) (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) (* (/ (* D M) (+ d d)) (/ D (+ d d))) (/ D (+ d d)) (/ h l) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)))
10.0ms	l	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l)) 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l) (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) (/ (* D M) (+ d d)) (* D M) D M (+ d d) (* (/ (* D M) (+ d d)) 1/2) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* 1 d) (sqrt (* h l))) (* 1 d) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (* (* 1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (* (* l l) l)))) (* 1/8 (* (* D D) (/ (* M M) d))) 1/8 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) -1/8) (sqrt (/ 1 (* l h)))) d) (+ (* (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) -1/8) (sqrt (/ 1 (* l h)))) (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) (/ (* (* (* M M) D) D) (* d d)) (* (* (* M M) D) D) (* (* M M) D) (* d d) -1/8 (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (- 1 (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (sqrt (* (/ d l) (/ d h)))) (- 1 (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l)) (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) (* (/ (* D M) (+ d d)) (/ D (+ d d))) (/ D (+ d d)) (/ h l) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)))
9.0ms	D	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l)) 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l) (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) (/ (* D M) (+ d d)) (* D M) D M (+ d d) (* (/ (* D M) (+ d d)) 1/2) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* 1 d) (sqrt (* h l))) (* 1 d) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (* (* 1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (* (* l l) l)))) (* 1/8 (* (* D D) (/ (* M M) d))) 1/8 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) -1/8) (sqrt (/ 1 (* l h)))) d) (+ (* (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) -1/8) (sqrt (/ 1 (* l h)))) (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) (/ (* (* (* M M) D) D) (* d d)) (* (* (* M M) D) D) (* (* M M) D) (* d d) -1/8 (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (- 1 (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (sqrt (* (/ d l) (/ d h)))) (- 1 (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l)) (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) (* (/ (* D M) (+ d d)) (/ D (+ d d))) (/ D (+ d d)) (/ h l) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)))

rewrite88.0ms (0.9%)

Memory

0.3MiB live, 137.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	7060
0	570	6192
0	1872	6137

Stop Event

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

Counts

217 → 366

Calls

Call 1

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

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

eval51.0ms (0.5%)

Memory: -12.1MiB live, 87.5MiB allocated; 26ms collecting garbage
Compiler: Compiled 23 763 to 2 008 computations (91.5% saved)

prune70.0ms (0.7%)

Memory

13.0MiB live, 150.7MiB allocated; 16ms collecting garbage

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	384	25	409
Fresh	12	14	26
Picked	5	0	5
Done	0	3	3
Total	401	42	443

Accuracy

92.2%

Counts

443 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.9%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M D) D) (.f64 (+.f64 d d) (+.f64 d d))) M) #s(literal 1/2 binary64)) h) l)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	51.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) D) (+.f64 d d)) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	30.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M D) D) (.f64 (+.f64 d d) (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	45.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d l) d) h)))
	38.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	37.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(approx (* (/ (* D M) (+ d d)) (/ D (+ d d))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) M)) (.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	64.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) (.f64 (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 d h))))
✓	64.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	48.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M #s(approx (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) M)) (.f64 d d))))) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	25.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M #s(approx (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) M)) (.f64 d d))))) (/.f64 h l))) #s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	40.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	64.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	69.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) #s(approx ( (/ (* D M) (+ d d)) 1/2) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)))) h) l)))
	70.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 (/.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) (+.f64 d d)) h)) l)))
	55.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (*.f64 d d))) #s(literal 1/8 binary64))) h) l)))
	18.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l)) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	41.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (/ (* (* (/ (* D M) (+ d d)) (* (/ (* D M) (+ d d)) 1/2)) h) l)) #s(literal 1 binary64)))
	43.6%	(.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (.f64 (/.f64 (.f64 D M) (+.f64 d d)) #s(literal 1/2 binary64))) h) l)))
	56.4%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	40.1%	(.f64 #s(approx (- 1 ( (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	14.5%	(.f64 #s(approx (- 1 ( (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	32.8%	(.f64 #s(approx (- 1 ( (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	38.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	42.4%	(.f64 #s(approx ( (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	39.3%	(.f64 #s(approx ( (sqrt (/ d l)) (sqrt (/ d h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (.f64 (/.f64 (*.f64 D M) (+.f64 d d)) #s(literal 1/2 binary64))) h) l)))
	28.2%	#s(approx (* (- 1 (* (* (* (* (/ (* D M) (+ d d)) (/ D (+ d d))) M) 1/2) (/ h l))) (sqrt (* (/ d l) (/ d h)))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
	22.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	18.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) l) l))
	24.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 #s(literal 1 binary64) d) (.f64 (sqrt.f64 h) (sqrt.f64 l))))
	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 l h)) (.f64 (.f64 (.f64 M M) D) D)) d) #s(literal -1/8 binary64))) (*.f64 l l)))
	10.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) (.f64 l l)))
	11.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 d (neg.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h)))))) (.f64 l l)))
	26.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	22.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 d d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d))
	24.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	26.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
✓	26.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	10.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (/ (* (* (* M M) D) D) (* d d)) (sqrt (/ h (* (* l l) l)))) -1/8) (sqrt (/ 1 (* l h)))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 d d))) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64))) d))
	17.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)))))
	18.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) (.f64 M (/.f64 M d)))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l))))))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (* (* (* D D) (/ (* -1 (* M M)) d)) (sqrt (/ h (* (* l l) l)))) -1/8) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 M M) d)))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l))))))

Compiler

Compiled 6 580 to 1 847 computations (71.9% saved)

regimes181.0ms (1.9%)

Memory

7.4MiB live, 346.2MiB allocated; 31ms collecting garbage

Counts

92 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

27.0ms	M
27.0ms	l
27.0ms	D
26.0ms	h
25.0ms	d

Results

Accuracy	Segments	Branch
70.5%	1	`(*.f64 M D)`
72.9%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
78.0%	2	`d`
79.9%	3	`h`
81.0%	3	`l`
70.5%	1	`M`
70.5%	1	`D`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes22.0ms (0.2%)

Memory

-2.4MiB live, 44.3MiB allocated; 2ms collecting garbage

Counts

67 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
80.8%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes21.0ms (0.2%)

Memory

-4.7MiB live, 47.9MiB allocated; 2ms collecting garbage

Counts

60 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
80.4%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes50.0ms (0.5%)

Memory

11.6MiB live, 105.8MiB allocated; 2ms collecting garbage

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

16.0ms	h
15.0ms	d
15.0ms	l

Results

Accuracy	Segments	Branch
75.9%	2	`d`
75.9%	2	`h`
75.9%	2	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes44.0ms (0.5%)

Memory

-14.3MiB live, 88.1MiB allocated; 7ms collecting garbage

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

15.0ms	d
14.0ms	h
12.0ms	l

Results

Accuracy	Segments	Branch
72.5%	2	`d`
74.2%	3	`l`
72.9%	2	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes68.0ms (0.7%)

Memory

13.6MiB live, 106.8MiB allocated; 5ms collecting garbage

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

30.0ms	d
12.0ms	l
12.0ms	h
11.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
69.6%	1	`d`
73.8%	3	`l`
69.6%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
71.9%	2	`h`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes105.0ms (1.1%)

Memory

-6.4MiB live, 137.2MiB allocated; 13ms collecting garbage

Counts

43 → 6

Calls

Call 1

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

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

Calls

7 calls:

32.0ms	d
13.0ms	(*.f64 M D)
13.0ms	l
12.0ms	D
11.0ms	M

Results

Accuracy	Segments	Branch
63.7%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
70.5%	6	`d`
60.3%	2	`h`
58.9%	2	`(*.f64 M D)`
58.5%	2	`M`
58.8%	2	`D`
65.3%	4	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes13.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Counts

39 → 6

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
70.0%	6	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes27.0ms (0.3%)

Memory

-23.7MiB live, 22.9MiB allocated; 3ms collecting garbage

Counts

38 → 6

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
69.3%	6	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes12.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Counts

34 → 6

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
69.1%	6	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes18.0ms (0.2%)

Memory

-22.9MiB live, 24.0MiB allocated; 2ms collecting garbage

Counts

32 → 6

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
68.8%	6	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes41.0ms (0.4%)

Memory

11.8MiB live, 62.8MiB allocated; 3ms collecting garbage

Counts

30 → 6

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	l
8.0ms	h
8.0ms	d
7.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
57.6%	4	`h`
57.9%	4	`l`
60.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
65.4%	6	`d`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes60.0ms (0.6%)

Memory

22.9MiB live, 69.8MiB allocated; 2ms collecting garbage

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

26.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
8.0ms	d
8.0ms	D
8.0ms	M
7.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
55.4%	4	`M`
49.0%	2	`D`
55.2%	3	`(*.f64 M D)`
59.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
60.7%	5	`d`

Compiler

Compiled 41 to 43 computations (-4.9% saved)

regimes41.0ms (0.4%)

Memory

-24.1MiB live, 22.9MiB allocated; 2ms collecting garbage

Counts

26 → 5

Calls

Call 1

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

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

Calls

2 calls:

32.0ms

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

7.0ms

Results

Accuracy	Segments	Branch
60.7%	5	`d`
55.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

19 → 5

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
60.7%	5	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes40.0ms (0.4%)

Memory

-17.6MiB live, 28.9MiB allocated; 2ms collecting garbage

Counts

18 → 4

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	l
5.0ms	d
5.0ms	h

Results

Accuracy	Segments	Branch
49.8%	3	`h`
51.0%	3	`l`
57.0%	4	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes15.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

5.0ms

4.0ms

(*.f64 M D)

4.0ms

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

Results

Accuracy	Segments	Branch
50.0%	2	`(*.f64 M D)`
54.0%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
55.5%	4	`d`

Compiler

Compiled 39 to 33 computations (15.4% saved)

regimes52.0ms (0.6%)

Memory

-22.9MiB live, 27.0MiB allocated; 3ms collecting garbage

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

33.0ms	(*.f64 M D)
5.0ms	M
4.0ms	d
4.0ms	l
4.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
51.0%	3	`l`
42.7%	2	`(*.f64 M D)`
41.0%	1	`M`
49.7%	3	`d`
45.6%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 41 to 43 computations (-4.9% saved)

regimes8.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	D
3.0ms	l

Results

Accuracy	Segments	Branch
34.6%	2	`D`
48.7%	2	`l`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
48.7%	2	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes8.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms	h
3.0ms	d
3.0ms	l

Results

Accuracy	Segments	Branch
46.6%	2	`d`
46.5%	2	`h`
47.3%	2	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes39.0ms (0.4%)

Memory

-21.3MiB live, 26.3MiB allocated; 1ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

26.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms	(*.f64 M D)
2.0ms	h
2.0ms	M
2.0ms	d

Results

Accuracy	Segments	Branch
26.8%	1	`D`
26.8%	1	`M`
26.8%	1	`(*.f64 M D)`
26.8%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
26.8%	1	`h`
26.8%	1	`d`
26.8%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes13.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	d
2.0ms	M
2.0ms	D
2.0ms	h
2.0ms	l

Results

Accuracy	Segments	Branch
26.5%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
26.5%	1	`D`
26.5%	1	`(*.f64 M D)`
26.5%	1	`h`
26.5%	1	`l`
26.5%	1	`M`
26.5%	1	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes17.0ms (0.2%)

Memory

-28.1MiB live, 17.9MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	M
1.0ms	l
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	d
1.0ms	h

Results

Accuracy	Segments	Branch
26.1%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
26.1%	1	`D`
26.1%	1	`l`
26.1%	1	`M`
26.1%	1	`d`
26.1%	1	`h`
26.1%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch127.0ms (1.3%)

Memory

-18.8MiB live, 186.2MiB allocated; 41ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
67.0ms	-6.72602497734034e-306	2.0882640820712128e-305
45.0ms	-5.710579343292769e+53	-3.403975605268454e+49

Samples

60.0ms	272×	0	valid
33.0ms	271×	0	invalid

Compiler

Compiled 1 533 to 1 063 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-pow: 38.0ms (51.7% of total)

ival-div!: 15.0ms (20.4% of total)

ival-mult!: 13.0ms (17.7% of total)

ival-pow2: 6.0ms (8.2% of total)

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

adjust: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-6.72602497734034e-306	2.0882640820712128e-305
2.0ms	-5.710579343292769e+53	-3.403975605268454e+49

Compiler

Compiled 1 597 to 1 111 computations (30.4% saved)

bsearch4.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-6.72602497734034e-306	2.0882640820712128e-305
2.0ms	-5.710579343292769e+53	-3.403975605268454e+49

Compiler

Compiled 1 543 to 1 057 computations (31.5% saved)

bsearch68.0ms (0.7%)

Memory

16.7MiB live, 115.0MiB allocated; 10ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
61.0ms	1.6144969000766088e-294	9.165618862213774e-287

Samples

27.0ms	202×	0	invalid
22.0ms	144×	0	valid

Compiler

Compiled 785 to 543 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-pow: 13.0ms (35.1% of total)

ival-mult!: 12.0ms (32.4% of total)

ival-div!: 7.0ms (18.9% of total)

ival-pow2: 4.0ms (10.8% of total)

ival-sub!: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

bsearch64.0ms (0.7%)

Memory

3.3MiB live, 94.9MiB allocated; 10ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
58.0ms	3.71966655493755e-163	2.0028106973879665e-154

Samples

29.0ms	151×	0	invalid
19.0ms	144×	0	valid

Compiler

Compiled 785 to 561 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div!: 16.0ms (43% of total)

ival-pow: 10.0ms (26.8% of total)

ival-mult!: 7.0ms (18.8% of total)

ival-pow2: 3.0ms (8.1% of total)

ival-sub!: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

bsearch180.0ms (1.9%)

Memory

-30.1MiB live, 254.0MiB allocated; 28ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	1.319521920373655e+102	7.750797241026696e+102
128.0ms	8.835445172805755e-120	2.2450230508217927e-111

Samples

66.0ms	297×	0	invalid
34.0ms	240×	0	valid

Compiler

Compiled 1 667 to 1 050 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult!: 41.0ms (52.1% of total)

ival-pow: 16.0ms (20.3% of total)

ival-div!: 12.0ms (15.2% of total)

ival-pow2: 9.0ms (11.4% of total)

ival-sub!: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

bsearch291.0ms (3.1%)

Memory

24.5MiB live, 500.9MiB allocated; 34ms collecting garbage

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	3.419808133754028e+140	3.8668857997367093e+145
45.0ms	6.161969376322242e-87	6.000254370005579e-84
40.0ms	-1.4575560460907657e-300	-2.5953708429027587e-302
39.0ms	-2.8255656398274594e-155	-5.556364906292173e-159
42.0ms	-4.072612789101934e+157	-6.992467408702261e+149

Samples

99.0ms	656×	0	valid
67.0ms	661×	0	invalid

Compiler

Compiled 4 684 to 2 931 computations (37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-pow: 37.0ms (31.3% of total)

ival-mult!: 31.0ms (26.2% of total)

ival-div!: 29.0ms (24.5% of total)

ival-pow2: 18.0ms (15.2% of total)

ival-sub!: 3.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

bsearch52.0ms (0.6%)

Memory

14.7MiB live, 61.3MiB allocated; 4ms collecting garbage

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.419808133754028e+140	3.8668857997367093e+145
42.0ms	5.617494828071228e-152	1.031766815300299e-151
2.0ms	-1.4575560460907657e-300	-2.5953708429027587e-302
2.0ms	-2.8255656398274594e-155	-5.556364906292173e-159
2.0ms	-4.072612789101934e+157	-6.992467408702261e+149

Samples

31.0ms	64×	0	valid
7.0ms	66×	0	invalid

Compiler

Compiled 4 232 to 2 670 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div!: 25.0ms (76% of total)

ival-pow: 3.0ms (9.1% of total)

ival-mult!: 3.0ms (9.1% of total)

ival-pow2: 1.0ms (3% of total)

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

adjust: 0.0ms (0% of total)

bsearch66.0ms (0.7%)

Memory

-6.3MiB live, 134.0MiB allocated; 12ms collecting garbage

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.419808133754028e+140	3.8668857997367093e+145
2.0ms	6.161969376322242e-87	6.000254370005579e-84
53.0ms	2.7760697715971896e-284	8.703955747940525e-279
2.0ms	-2.8255656398274594e-155	-5.556364906292173e-159
2.0ms	-4.072612789101934e+157	-6.992467408702261e+149

Samples

21.0ms	158×	0	invalid
19.0ms	144×	0	valid

Compiler

Compiled 4 974 to 3 156 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div!: 8.0ms (27.1% of total)

ival-pow2: 7.0ms (23.7% of total)

ival-mult!: 7.0ms (23.7% of total)

ival-pow: 6.0ms (20.3% of total)

ival-sub!: 1.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

bsearch104.0ms (1.1%)

Memory

-8.9MiB live, 232.3MiB allocated; 15ms collecting garbage

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.419808133754028e+140	3.8668857997367093e+145
56.0ms	8680757430.137627	1.06316858600359e+19
30.0ms	8.703955747940525e-279	1.9993217118759183e-278
2.0ms	-2.8255656398274594e-155	-5.556364906292173e-159
2.0ms	-4.072612789101934e+157	-6.992467408702261e+149

Samples

38.0ms	322×	0	invalid
29.0ms	224×	0	valid

Compiler

Compiled 4 395 to 2 839 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div!: 14.0ms (29.2% of total)

ival-mult!: 13.0ms (27.1% of total)

ival-pow: 10.0ms (20.9% of total)

ival-pow2: 8.0ms (16.7% of total)

ival-sub!: 4.0ms (8.3% of total)

adjust: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.419808133754028e+140	3.8668857997367093e+145
1.0ms	5.617494828071228e-152	1.031766815300299e-151
1.0ms	-1.4575560460907657e-300	-2.5953708429027587e-302
2.0ms	-2.8255656398274594e-155	-5.556364906292173e-159
2.0ms	-4.072612789101934e+157	-6.992467408702261e+149

Compiler

Compiled 4 122 to 2 626 computations (36.3% saved)

bsearch85.0ms (0.9%)

Memory

-28.3MiB live, 167.7MiB allocated; 14ms collecting garbage

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	1.06316858600359e+19	1.706912381653343e+20
1.0ms	5.617494828071228e-152	1.031766815300299e-151
1.0ms	-1.4575560460907657e-300	-2.5953708429027587e-302
2.0ms	-2.8255656398274594e-155	-5.556364906292173e-159
35.0ms	-4.072612789101934e+157	-6.992467408702261e+149

Samples

34.0ms	208×	0	valid
22.0ms	218×	0	invalid

Compiler

Compiled 3 938 to 2 534 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-pow: 10.0ms (24.8% of total)

ival-pow2: 10.0ms (24.8% of total)

ival-mult!: 10.0ms (24.8% of total)

ival-div!: 9.0ms (22.3% of total)

ival-sub!: 1.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4789582632872724e-200	4.800763506627989e-196
0.0ms	-8.408066319260422e-103	-2.1501968289872485e-121

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch116.0ms (1.2%)

Memory

2.2MiB live, 243.5MiB allocated; 12ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.197279459419652e-133	2.9269724409761463e-133
2.0ms	-1.4575560460907657e-300	-2.5953708429027587e-302
37.0ms	-7.274379778793089e-41	-1.5832297229643502e-49
38.0ms	-4.072612789101934e+157	-6.992467408702261e+149

Samples

48.0ms	352×	0	valid
27.0ms	277×	0	invalid

Compiler

Compiled 3 633 to 2 332 computations (35.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div!: 15.0ms (27.9% of total)

ival-mult!: 15.0ms (27.9% of total)

ival-pow: 14.0ms (26% of total)

ival-pow2: 7.0ms (13% of total)

ival-sub!: 2.0ms (3.7% of total)

adjust: 0.0ms (0% of total)

bsearch59.0ms (0.6%)

Memory

-19.0MiB live, 122.1MiB allocated; 7ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	3.4756013871385556e-209	9.445154054685801e-203
1.0ms	-1.4575560460907657e-300	-2.5953708429027587e-302
2.0ms	-7.274379778793089e-41	-1.5832297229643502e-49
1.0ms	-4.072612789101934e+157	-6.992467408702261e+149

Samples

21.0ms	144×	0	valid
15.0ms	152×	0	invalid

Compiler

Compiled 3 701 to 2 400 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div!: 8.0ms (31.1% of total)

ival-mult!: 7.0ms (27.2% of total)

ival-pow: 6.0ms (23.3% of total)

ival-pow2: 3.0ms (11.7% of total)

ival-sub!: 1.0ms (3.9% of total)

adjust: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.4575560460907657e-300	-2.5953708429027587e-302
2.0ms	-7.274379778793089e-41	-1.5832297229643502e-49
1.0ms	-4.072612789101934e+157	-6.992467408702261e+149

Compiler

Compiled 2 715 to 1 780 computations (34.4% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4789582632872724e-200	4.800763506627989e-196
0.0ms	-1.954594570362848e+36	-2.6992482288385294e-66

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch65.0ms (0.7%)

Memory

-8.6MiB live, 136.8MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	9.324249889828514e-222	3.0359208255881975e-221
26.0ms	-5.710579343292769e+53	-3.403975605268454e+49

Samples

24.0ms	176×	0	valid
20.0ms	166×	0	invalid

Compiler

Compiled 1 219 to 822 computations (32.6% saved)

Precisions

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

ival-pow: 12.0ms (37.3% of total)

ival-mult!: 8.0ms (24.9% of total)

ival-div!: 7.0ms (21.8% of total)

ival-pow2: 4.0ms (12.4% of total)

ival-sub!: 1.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.324249889828514e-222	3.0359208255881975e-221

Compiler

Compiled 523 to 350 computations (33.1% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.324249889828514e-222	3.0359208255881975e-221

Compiler

Compiled 523 to 350 computations (33.1% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.324249889828514e-222	3.0359208255881975e-221

Compiler

Compiled 518 to 345 computations (33.4% saved)

derivations148.0ms (1.6%)

Memory

-17.6MiB live, 273.6MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 4 685 to 369 computations (92.1% saved)

preprocess741.0ms (7.9%)

Memory

-37.1MiB live, 1 081.9MiB allocated; 841ms collecting garbage

Remove

(sort M D)

(abs D)

(abs M)

Compiler

Compiled 40 268 to 12 530 computations (68.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze412.0ms (4.4%)

sample4.2s (44.9%)

explain320.0ms (3.4%)

preprocess47.0ms (0.5%)

series159.0ms (1.7%)

rewrite71.0ms (0.8%)

eval11.0ms (0.1%)

prune20.0ms (0.2%)

series195.0ms (2.1%)

rewrite81.0ms (0.9%)

eval64.0ms (0.7%)

prune70.0ms (0.7%)

series140.0ms (1.5%)

rewrite85.0ms (0.9%)

eval38.0ms (0.4%)

prune34.0ms (0.4%)

series131.0ms (1.4%)

rewrite88.0ms (0.9%)

eval51.0ms (0.5%)

prune70.0ms (0.7%)

regimes181.0ms (1.9%)

regimes22.0ms (0.2%)

regimes21.0ms (0.2%)

regimes50.0ms (0.5%)

regimes44.0ms (0.5%)

regimes68.0ms (0.7%)

regimes105.0ms (1.1%)

regimes13.0ms (0.1%)

regimes27.0ms (0.3%)

regimes12.0ms (0.1%)

regimes18.0ms (0.2%)

regimes41.0ms (0.4%)

regimes60.0ms (0.6%)

regimes41.0ms (0.4%)

regimes7.0ms (0.1%)

regimes40.0ms (0.4%)

regimes15.0ms (0.2%)

regimes52.0ms (0.6%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes39.0ms (0.4%)

regimes13.0ms (0.1%)

regimes17.0ms (0.2%)

bsearch127.0ms (1.3%)

bsearch4.0ms (0%)

bsearch4.0ms (0%)

bsearch68.0ms (0.7%)

bsearch64.0ms (0.7%)

bsearch180.0ms (1.9%)

bsearch291.0ms (3.1%)

bsearch52.0ms (0.6%)

bsearch66.0ms (0.7%)

bsearch104.0ms (1.1%)

bsearch8.0ms (0.1%)

bsearch85.0ms (0.9%)

bsearch1.0ms (0%)

bsearch116.0ms (1.2%)

bsearch59.0ms (0.6%)

bsearch5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch65.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

derivations148.0ms (1.6%)

preprocess741.0ms (7.9%)

end0.0ms (0%)

Profiling