Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze309.0ms (5.2%)

Memory

4.5MiB live, 106.7MiB allocated; 3ms 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)

sample3.3s (55.4%)

Memory

42.8MiB live, 1 068.4MiB allocated; 101ms collecting garbage

Samples

1.4s	13 096×	74	invalid
1.0s	8 256×	74	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-pow: 508.0ms (30% of total)

ival-mult!: 468.0ms (27.7% of total)

ival-div!: 428.0ms (25.3% of total)

ival-pow2: 218.0ms (12.9% of total)

ival-sub!: 47.0ms (2.8% of total)

adjust: 22.0ms (1.3% of total)

Bogosity

explain250.0ms (4.2%)

Memory

-4.8MiB live, 146.7MiB allocated; 3ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
68	0	-	2	(-1.1648213161697515e-42 -2.8672400035717907e+249 -8.848929490320289e+272 -3.4835353028294766e-111 1.8691691312310606e-117)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
58	0	-	2	(2.493746801532572e-109 3.836978051433241e+209 1.9628217920263045e+186 8.846970229244229e+70 1.3918628166920897e+278)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
36	2	(2.7432006372060077e+238 3.926912469055042e+271 6.488064344089412e+255 -2.626761540325621e-36 6.491999041932844e+104)	1	(4.839534961575748e-265 2.9131359477167046e-66 6.078192575852918e+250 -1.984375582145862e-246 1.4597819437490429e+50)	`(.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))`
24	0	-	1	(-8.594622375176157e-165 -8.493072111427296e+109 -1.0218624716204611e+188 7.256751800525118e-110 -1.2922339254158515e+94)	`(.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))))`
22	0	-	2	(-1.9686870381777727e-139 -3.8456984844032325e-213 -7.66656438403189e-175 5.921423419669866e-141 -6.421841982674954e-176)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	0	-	0	-	`D`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	0	-	0	-	`(/.f64 h l)`
0	0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	0	-	0	-	`d`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 d l)`
0	0	-	0	-	`(*.f64 M D)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	0	-	`(/.f64 d h)`
0	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	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`l`
0	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	-	0	-	`M`
0	0	-	0	-	`h`
0	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 l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	41	0
↳	`(/.f64 d l)`	overflow	41
`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)))`	uflow-rescue	25	0
↳	`(/.f64 d l)`	underflow	25
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	23	0
↳	`(/.f64 d h)`	underflow	23
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	13	0
↳	`(*.f64 M D)`	overflow	33
`*.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**	12	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))))`	*no**	11	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))))`	*uo**	8	0
↳	`(/.f64 d h)`	underflow	23
↳	`(/.f64 d l)`	underflow	25
↳	`(*.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	14
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	71
↳	`(.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	71
↳	`(/.f64 h l)`	overflow	35
↳	`(-.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	77
↳	`(.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	77
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	34
`*.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**	4	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**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	71
↳	`(.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	71
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	34
↳	`(/.f64 h l)`	underflow	22
`*.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**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	80
↳	`(.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	80
↳	`(*.f64 M D)`	underflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	41
↳	`(/.f64 h l)`	overflow	35
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	26

Confusion

	Predicted +	Predicted -
+	81	1
-	45	129

Precision

0.6428571428571429

Recall

0.9878048780487805

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	1
-	45	0	129

Precision?

0.6428571428571429

Recall?

0.9878048780487805

Freqs

test

number	freq
0	130
1	85
2	32
3	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-pow: 18.0ms (38.9% of total)

ival-div!: 11.0ms (23.8% of total)

ival-mult!: 11.0ms (23.8% of total)

ival-pow2: 5.0ms (10.8% of total)

ival-sub!: 1.0ms (2.2% of total)

adjust: 1.0ms (2.2% of total)

preprocess140.0ms (2.4%)

Memory

2.7MiB live, 32.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	588
1	546	580
2	2128	575
3	6640	575
0	22	29
0	38	27
1	67	27
2	180	27
3	1202	27
4	4872	27
0	8241	26

Stop Event

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

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))))

Outputs

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

Symmetry

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.2%	(.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))))

Status

Accuracy

Program

▶

69.2%

(*.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 35 to 22 computations (37.1% saved)

series84.0ms (1.4%)

Memory

3.9MiB live, 36.5MiB allocated; 3ms 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
18.0ms	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))
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))
9.0ms	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))
6.0ms	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))
6.0ms	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))

rewrite66.0ms (1.1%)

Memory

-15.8MiB live, 13.3MiB allocated; 4ms 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 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.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 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.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 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l)))
(.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)
(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(/.f64 (neg.f64 (.f64 D M)) (neg.f64 (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) 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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 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 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) 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 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 (*.f64 d d) l)))
#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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) l))) (.f64 d d)))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 (*.f64 d d) l)))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (*.f64 d d)))
#s(approx (pow (/ (* M D) (* 2 d)) 2) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (*.f64 d d)))
#s(approx (/ (* M D) (* 2 d)) (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)))
#s(approx (* 2 d) (*.f64 #s(literal 2 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)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 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)))) (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))) 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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.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 (pow.f64 (*.f64 l h) #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 (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))))
#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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 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 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 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)))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 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 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) d)))) h)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 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)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) 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 #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 d 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)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 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)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #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)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))))
#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 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M)))
#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 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D)))

eval12.0ms (0.2%)

Memory: 2.5MiB live, 10.0MiB allocated; 1ms collecting garbage
Compiler: Compiled 4 853 to 488 computations (89.9% saved)

prune17.0ms (0.3%)

Memory

-2.8MiB live, 13.8MiB allocated; 1ms collecting garbage

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	99	19	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	19	119

Accuracy

92.7%

Counts

119 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.5%	(.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))))
	68.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	42.5%	(.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 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))
	68.9%	(.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 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
▶	53.7%	(.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 l (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 d d))) l)))
	21.6%	(.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 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 (*.f64 d d) l))))
	33.0%	(.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))))
	69.2%	(.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))))
	67.0%	(.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))))
	69.2%	(.f64 (.f64 (.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 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))))
▶	69.2%	(.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))))
	42.7%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 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))))
	31.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) 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))))
	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 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
	48.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	15.4%	#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 -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	20.5%	#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 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	28.1%	#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 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
▶	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))

Compiler

Compiled 1 724 to 1 100 computations (36.2% saved)

series108.0ms (1.8%)

Memory

0.4MiB live, 69.9MiB allocated; 4ms collecting garbage

Counts

56 → 134

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	h	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) 1/2 (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d)) (* 1/8 (* (pow (* D M) 2) h)) 1/8 (* (pow (* D M) 2) h) (* d d))
8.0ms	d	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) 1/2 (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d)) (* 1/8 (* (pow (* D M) 2) h)) 1/8 (* (pow (* D M) 2) h) (* d d))
8.0ms	d	@	0	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) 1/2 (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d)) (* 1/8 (* (pow (* D M) 2) h)) 1/8 (* (pow (* D M) 2) h) (* d d))
8.0ms	l	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) 1/2 (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d)) (* 1/8 (* (pow (* D M) 2) h)) 1/8 (* (pow (* D M) 2) h) (* d d))
7.0ms	D	@	inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) 1/2 (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d)) (* 1/8 (* (pow (* D M) 2) h)) 1/8 (* (pow (* D M) 2) h) (* d d))

rewrite83.0ms (1.4%)

Memory

2.7MiB live, 17.7MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	5123
0	486	4625
0	1569	4551

Stop Event

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

Counts

190 → 322

Calls

Call 1

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

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

eval41.0ms (0.7%)

Memory: -1.1MiB live, 29.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 17 542 to 1 288 computations (92.7% saved)

prune31.0ms (0.5%)

Memory

-0.0MiB live, 32.7MiB allocated; 1ms collecting garbage

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	356	29	385
Fresh	12	2	14
Picked	5	0	5
Done	0	0	0
Total	373	31	404

Accuracy

92.9%

Counts

404 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(.f64 (pow.f64 (/.f64 (/.f64 (.f64 d d) h) 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))))
	57.6%	(.f64 (pow.f64 (/.f64 (.f64 d (/.f64 d l)) h) #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))))
	42.6%	(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h 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))))
▶	34.2%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	63.3%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (/.f64 (.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) #s(literal 1/8 binary64)) d) d)) l)))
	33.0%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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))))
	69.2%	(.f64 (.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 #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))))
	33.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 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))))
	69.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #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))))
	42.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))
	68.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
	68.1%	(.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)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l))))
▶	69.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.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))))
	21.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	40.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	68.1%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
	53.7%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))))
	59.5%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.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))))
	45.8%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)))
▶	42.7%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) 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))))
	48.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) d))
	24.2%	#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) (sqrt.f64 (.f64 h l))) d))
	15.4%	#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 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
	20.5%	#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 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))))
	20.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	28.1%	#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 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
▶	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d))
	23.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1 binary64)))) d))
	28.1%	#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 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) d)))

Compiler

Compiled 2 542 to 1 694 computations (33.4% saved)

series88.0ms (1.5%)

Memory

5.7MiB live, 52.6MiB allocated; 2ms collecting garbage

Counts

50 → 155

Calls

Call 1

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

Outputs
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 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 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 (* (* 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 (* -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 (* h l))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (pow (* (/ d h) (/ 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) (/ 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) (/ d l)) 1/2) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (/ d h) (/ d l)) #s(hole binary64 (/ (pow d 2) (* h 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 (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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 (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))))
#s(approx (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (/ D d) #s(hole binary64 (/ D d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (neg (* (pow (* h l) -1/2) d)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (pow (* h l) -1/2) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* 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 (* (pow (* (/ d h) (/ 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) (/ 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 (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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 (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (sqrt (/ d h))))
#s(approx (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (* (* 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 l)) (sqrt (/ d h))) (- 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 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 (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #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 (pow (* (/ d h) (/ d l)) 1/2) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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 h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (/ (+ (* -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 (* h l))) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (/ 1 (* h l)) #s(hole binary64 (/ 1 (* h l))))
#s(approx (* h l) #s(hole binary64 (* h l)))
#s(approx (* (pow (* (/ d h) (/ 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 (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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 (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)))
#s(approx (pow (* h l) -1/2) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* 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) (/ 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 (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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 (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (* (* 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (/ 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 (* (* 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) (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 (* h l))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (/ 1 (* h l))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (* (pow (* (/ d h) (/ 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) (/ 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) (/ d l)) 1/2) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#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 l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #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 h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))))
#s(approx (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (neg (* (pow (* h l) -1/2) d)) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (pow (* h l) -1/2) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (* h l) -1/2) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (* (pow (* (/ d h) (/ 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 (- 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 l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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 (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (* (* 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 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (pow (* (/ d h) (/ 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 (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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 (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))))
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 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 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 (* (pow (* (/ d h) (/ 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) (/ 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 l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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 (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* (* (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 (* (pow (* (/ d h) (/ 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 (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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 (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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)))))))
#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 (* (pow (* (/ d h) (/ 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)))))))
#s(approx (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 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 (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #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
17.0ms	h	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) 1/2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) 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)))) (* (sqrt (/ 1 (* h l))) d) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* h l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (* (* (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))) (neg (* (pow (* h l) -1/2) d)) (* (pow (* h l) -1/2) d) (pow (* h l) -1/2) -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)) (/ 1 2))
7.0ms	d	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) 1/2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) 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)))) (* (sqrt (/ 1 (* h l))) d) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* h l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (* (* (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))) (neg (* (pow (* h l) -1/2) d)) (* (pow (* h l) -1/2) d) (pow (* h l) -1/2) -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)) (/ 1 2))
6.0ms	l	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) 1/2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) 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)))) (* (sqrt (/ 1 (* h l))) d) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* h l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (* (* (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))) (neg (* (pow (* h l) -1/2) d)) (* (pow (* h l) -1/2) d) (pow (* h l) -1/2) -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)) (/ 1 2))
6.0ms	d	@	inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) 1/2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) 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)))) (* (sqrt (/ 1 (* h l))) d) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* h l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (* (* (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))) (neg (* (pow (* h l) -1/2) d)) (* (pow (* h l) -1/2) d) (pow (* h l) -1/2) -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)) (/ 1 2))
6.0ms	d	@	0	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) 1/2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) 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)))) (* (sqrt (/ 1 (* h l))) d) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* h l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (* (* (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))) (neg (* (pow (* h l) -1/2) d)) (* (pow (* h l) -1/2) d) (pow (* h l) -1/2) -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)) (/ 1 2))

rewrite82.0ms (1.4%)

Memory

-5.9MiB live, 18.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	446	6516
0	516	6000
0	1687	5934

Stop Event

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

Counts

205 → 313

Calls

Call 1

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

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

eval31.0ms (0.5%)

Memory: 2.9MiB live, 25.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 11 708 to 1 043 computations (91.1% saved)

prune31.0ms (0.5%)

Memory

4.3MiB live, 29.2MiB allocated; 1ms collecting garbage

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	289	21	310
Fresh	14	12	26
Picked	4	1	5
Done	0	0	0
Total	307	34	341

Accuracy

93.2%

Counts

341 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.3%	(.f64 (pow.f64 (/.f64 (/.f64 (.f64 d d) h) l) #s(literal 1/2 binary64)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	32.6%	(.f64 (pow.f64 (/.f64 (.f64 d (/.f64 d l)) h) #s(literal 1/2 binary64)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	23.5%	(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/2 binary64)) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	33.0%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.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))))
	33.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.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))))
	42.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))
▶	68.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
▶	69.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l))))
	68.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))))) (/.f64 h l))))
	21.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 (*.f64 d d) l))))
	33.4%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
	68.1%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 #s(approx (/ M 2) (.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
	37.0%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 d h)) l)) l)))
	34.8%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)))
	21.5%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) l)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) h) #s(literal -1 binary64))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))))) h)))
	26.4%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d h)))) (*.f64 D D))))
▶	12.8%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))))
	40.4%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d h))))
	59.5%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.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))))
	45.8%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)))
	34.2%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	42.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))))) (/.f64 h l))))
	42.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 (.f64 (pow.f64 (.f64 h l) #s(literal -1/4 binary64)) (pow.f64 (.f64 h l) #s(literal -1/4 binary64))) 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))))
	48.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) d))
▶	24.2%	#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) (sqrt.f64 (.f64 h l))) d))
	15.4%	#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 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
	20.5%	#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 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))))
	20.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
✓	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d))
	23.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1 binary64)))) d))
	28.1%	#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 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) d)))
	28.1%	#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 (sqrt.f64 (pow.f64 (.f64 h l) #s(literal -1 binary64))) d)))

Compiler

Compiled 2 834 to 1 942 computations (31.5% saved)

series100.0ms (1.7%)

Memory

-2.0MiB live, 68.5MiB allocated; 3ms collecting garbage

Counts

55 → 172

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	d	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (+ d d)) 2)) 1/2 (pow (/ (* M D) (+ d d)) 2) (/ (* M D) (+ d d)) (* M D) M D (+ d 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 (sqrt (* h l))) d) (/ 1 (sqrt (* h l))) (sqrt (* h l)) (* h l) (* (pow (/ (* d (/ d l)) h) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (/ (* d (/ d l)) h) 1/2) (/ (* d (/ d l)) h) (* d (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) l)) (sqrt (/ h (pow d 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) l)) -1/8 (/ (* (pow (* D M) 2) -1) l) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) -1 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3)
8.0ms	h	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (+ d d)) 2)) 1/2 (pow (/ (* M D) (+ d d)) 2) (/ (* M D) (+ d d)) (* M D) M D (+ d 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 (sqrt (* h l))) d) (/ 1 (sqrt (* h l))) (sqrt (* h l)) (* h l) (* (pow (/ (* d (/ d l)) h) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (/ (* d (/ d l)) h) 1/2) (/ (* d (/ d l)) h) (* d (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) l)) (sqrt (/ h (pow d 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) l)) -1/8 (/ (* (pow (* D M) 2) -1) l) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) -1 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3)
8.0ms	l	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (+ d d)) 2)) 1/2 (pow (/ (* M D) (+ d d)) 2) (/ (* M D) (+ d d)) (* M D) M D (+ d 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 (sqrt (* h l))) d) (/ 1 (sqrt (* h l))) (sqrt (* h l)) (* h l) (* (pow (/ (* d (/ d l)) h) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (/ (* d (/ d l)) h) 1/2) (/ (* d (/ d l)) h) (* d (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) l)) (sqrt (/ h (pow d 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) l)) -1/8 (/ (* (pow (* D M) 2) -1) l) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) -1 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3)
7.0ms	d	@	inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (+ d d)) 2)) 1/2 (pow (/ (* M D) (+ d d)) 2) (/ (* M D) (+ d d)) (* M D) M D (+ d 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 (sqrt (* h l))) d) (/ 1 (sqrt (* h l))) (sqrt (* h l)) (* h l) (* (pow (/ (* d (/ d l)) h) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (/ (* d (/ d l)) h) 1/2) (/ (* d (/ d l)) h) (* d (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) l)) (sqrt (/ h (pow d 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) l)) -1/8 (/ (* (pow (* D M) 2) -1) l) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) -1 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3)
7.0ms	d	@	0	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (+ d d)) 2)) 1/2 (pow (/ (* M D) (+ d d)) 2) (/ (* M D) (+ d d)) (* M D) M D (+ d 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 (sqrt (* h l))) d) (/ 1 (sqrt (* h l))) (sqrt (* h l)) (* h l) (* (pow (/ (* d (/ d l)) h) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow (/ (* d (/ d l)) h) 1/2) (/ (* d (/ d l)) h) (* d (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (* (sqrt (/ d l)) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) l)) (sqrt (/ h (pow d 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) l)) -1/8 (/ (* (pow (* D M) 2) -1) l) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) -1 (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3)

rewrite86.0ms (1.5%)

Memory

4.2MiB live, 20.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	499	7419
0	572	6816
0	1848	6739

Stop Event

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

Counts

227 → 348

Calls

Call 1

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

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

eval33.0ms (0.6%)

Memory: -4.2MiB live, 26.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 13 306 to 1 197 computations (91% saved)

prune52.0ms (0.9%)

Memory

4.9MiB live, 45.5MiB allocated; 1ms collecting garbage

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	326	19	345
Fresh	12	16	28
Picked	3	2	5
Done	0	1	1
Total	341	38	379

Accuracy

93.2%

Counts

379 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.2%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) h)) l)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	33.1%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
	33.0%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l))))
	33.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l))))
	44.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) h)) l) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) h)) l) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) h)) l) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))))))
	68.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 #s(approx (/ M 2) (.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
✓	69.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l))))
	68.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))))) (/.f64 h l))))
	21.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 (*.f64 d d) l))))
	1.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ d h)) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
	32.6%	(.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 d l) d) h)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	33.4%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
	68.1%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 #s(approx (/ M 2) (.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
	34.8%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) l)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h d))) h)))
	37.0%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) l)) l)))
	21.5%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))))) h)))
	26.4%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d h)))) (*.f64 D D))))
	12.8%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) l)) (sqrt.f64 (/.f64 h (.f64 (.f64 d d) d))))))
	40.4%	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d h))))
	59.5%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l))))
	45.8%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)))
	34.2%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	42.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))))) (/.f64 h l))))
	42.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 (.f64 (pow.f64 (.f64 h l) #s(literal -1/4 binary64)) (pow.f64 (.f64 h l) #s(literal -1/4 binary64))) 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))))
	42.8%	(.f64 #s(approx ( (sqrt (/ d l)) (sqrt (/ d h))) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 h l) #s(literal -1 binary64))) d))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
	49.2%	#s(approx (* (pow (/ (* d (/ d l)) h) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
	15.4%	#s(approx (* (pow (/ (* d (/ d l)) h) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
	28.1%	#s(approx (* (pow (/ (* d (/ d l)) h) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 h l) #s(literal -1 binary64))) d)))
	24.2%	#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 h l))))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) d))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 h) (sqrt.f64 l))) d))
✓	24.2%	#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) (sqrt.f64 (.f64 h l))) d))
	20.5%	#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 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))))
	20.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
✓	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d))
	23.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1 binary64)))) d))
	28.1%	#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 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) d)))

Compiler

Compiled 5 218 to 1 513 computations (71% saved)

regimes155.0ms (2.6%)

Memory

-2.9MiB live, 66.8MiB allocated; 15ms collecting garbage

Counts

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

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

Calls

7 calls:

30.0ms	d
21.0ms	D
21.0ms	M
20.0ms	h
20.0ms	l

Results

Accuracy	Segments	Branch
69.2%	1	`(*.f64 M D)`
76.6%	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))))`
80.9%	5	`d`
77.4%	3	`h`
81.6%	5	`l`
69.2%	1	`M`
69.2%	1	`D`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes23.0ms (0.4%)

Memory

3.0MiB live, 12.8MiB allocated; 1ms collecting garbage

Counts

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
81.6%	5	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes16.0ms (0.3%)

Memory

1.9MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
81.1%	5	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes35.0ms (0.6%)

Memory

-7.4MiB live, 18.2MiB allocated; 1ms collecting garbage

Counts

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

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

Calls

3 calls:

11.0ms	d
11.0ms	l
11.0ms	h

Results

Accuracy	Segments	Branch
76.5%	3	`h`
78.1%	4	`d`
78.9%	4	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes13.0ms (0.2%)

Memory

0.1MiB live, 7.8MiB allocated; 0ms 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) 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 h l))) 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 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 h) (sqrt.f64 l))) d))
(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 d l) d) h)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d h))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 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 (pow.f64 (.f64 h l) #s(literal -1/2 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)))) (neg.f64 (.f64 (pow.f64 (.f64 h l) #s(literal -1/2 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)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 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)))) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 h l) #s(literal -1 binary64))) d)))
#s(approx (* (pow (/ (* d (/ d l)) h) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 h l) #s(literal -1 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)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/2 binary64)) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d (/.f64 d l)) h) #s(literal 1/2 binary64)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 (.f64 d d) h) l) #s(literal 1/2 binary64)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))))) (/.f64 h l))))
(.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)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l))))
#s(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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))))
(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)))
(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.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 (sqrt.f64 (/.f64 d l)) #s(approx ( (sqrt (/ d h)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) l)) (sqrt.f64 (/.f64 h (.f64 (.f64 d d) d))))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 (*.f64 d d) l))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) h)) l)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 #s(approx (/ M 2) (.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 #s(approx (/ M 2) (.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.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 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.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 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ d h)) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #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 #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))) (neg.f64 (.f64 (pow.f64 (.f64 h l) #s(literal -1/2 binary64)) d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 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 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l))))

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
77.0%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes43.0ms (0.7%)

Memory

-1.6MiB live, 22.5MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

11.0ms	h
10.0ms	l
10.0ms	d
9.0ms	(.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
72.5%	2	`d`
74.2%	3	`h`
75.5%	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))))`
73.3%	2	`l`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes16.0ms (0.3%)

Memory

1.8MiB live, 9.5MiB allocated; 1ms collecting garbage

Counts

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

Outputs

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

Calls

2 calls:

8.0ms

6.0ms

(*.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
71.0%	2	`l`
74.3%	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)

regimes22.0ms (0.4%)

Memory

5.9MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

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

Calls

4 calls:

6.0ms	h
5.0ms	d
5.0ms	l
5.0ms	(.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
71.0%	2	`l`
70.5%	2	`d`
68.1%	1	`h`
71.0%	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 38 to 37 computations (2.6% saved)

regimes36.0ms (0.6%)

Memory

-2.9MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

7 calls:

5.0ms	(*.f64 M D)
5.0ms	l
5.0ms	d
5.0ms	D
5.0ms	M

Results

Accuracy	Segments	Branch
49.1%	3	`h`
49.7%	3	`d`
43.7%	2	`M`
42.4%	2	`D`
44.5%	3	`(*.f64 M D)`
46.1%	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))))`
47.5%	2	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes9.0ms (0.2%)

Memory

-0.9MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

3.0ms	h
3.0ms	l
3.0ms	d

Results

Accuracy	Segments	Branch
46.4%	2	`l`
46.4%	2	`h`
46.4%	2	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes9.0ms (0.2%)

Memory

-0.2MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

2.0ms	l
2.0ms	d
2.0ms	h
2.0ms	(.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
42.3%	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))))`
43.7%	2	`l`
43.7%	2	`h`
43.8%	2	`d`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes12.0ms (0.2%)

Memory

3.6MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

4 → 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) 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 h l))) 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 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 h) (sqrt.f64 l))) 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 #s(literal 1 binary64) (*.f64 h l))) 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 h) (sqrt.f64 l))) d))

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
27.8%	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))))`
26.4%	2	`D`
26.4%	2	`(*.f64 M D)`
26.2%	2	`M`
28.6%	2	`l`
28.6%	2	`h`
28.6%	2	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes11.0ms (0.2%)

Memory

-4.6MiB live, 11.3MiB allocated; 1ms collecting garbage

Counts

3 → 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) 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 h l))) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d))

Calls

7 calls:

1.0ms	d
1.0ms	M
1.0ms	D
1.0ms	(*.f64 M D)
1.0ms	h

Results

Accuracy	Segments	Branch
24.2%	1	`M`
24.2%	1	`(*.f64 M D)`
24.2%	1	`D`
24.2%	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))))`
24.2%	1	`l`
24.2%	1	`h`
24.2%	1	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes7.0ms (0.1%)

Memory

2.0MiB live, 10.0MiB allocated; 0ms 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) 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 #s(literal 1 binary64) (.f64 h l))) d))

Calls

7 calls:

1.0ms	M
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
1.0ms	l

Results

Accuracy	Segments	Branch
23.9%	1	`D`
23.9%	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))))`
23.9%	1	`h`
23.9%	1	`M`
23.9%	1	`d`
23.9%	1	`l`
23.9%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch192.0ms (3.2%)

Memory

4.9MiB live, 57.9MiB allocated; 3ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
43.0ms	1.0469677480954033e+217	1.1380566438637615e+221
46.0ms	9.195418616702656e-76	5.397261494639653e-72
44.0ms	-1.5190910702715156e-306	8.468049156786585e-305
37.0ms	-2.9057026171166586e+197	-1.170398725059213e+188

Samples

67.0ms	630×	74	invalid
65.0ms	544×	74	valid

Compiler

Compiled 2 312 to 1 827 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-pow: 32.0ms (33.6% of total)

ival-mult!: 25.0ms (26.2% of total)

ival-div!: 24.0ms (25.2% of total)

ival-pow2: 11.0ms (11.5% of total)

ival-sub!: 3.0ms (3.1% of total)

adjust: 1.0ms (1% of total)

bsearch7.0ms (0.1%)

Memory

-3.4MiB live, 3.9MiB allocated; 0ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.0469677480954033e+217	1.1380566438637615e+221
1.0ms	9.195418616702656e-76	5.397261494639653e-72
2.0ms	-1.5190910702715156e-306	8.468049156786585e-305
2.0ms	-2.9057026171166586e+197	-1.170398725059213e+188

Compiler

Compiled 2 231 to 1 809 computations (18.9% saved)

bsearch33.0ms (0.6%)

Memory

-0.1MiB live, 11.6MiB allocated; 1ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.0469677480954033e+217	1.1380566438637615e+221
1.0ms	9.195418616702656e-76	5.397261494639653e-72
2.0ms	-1.5190910702715156e-306	8.468049156786585e-305
26.0ms	-2.9057026171166586e+197	-1.170398725059213e+188

Samples

11.0ms	96×	74	valid
8.0ms	74×	74	invalid

Compiler

Compiled 2 465 to 1 845 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-pow: 5.0ms (34.4% of total)

ival-mult!: 4.0ms (27.5% of total)

ival-div!: 3.0ms (20.6% of total)

ival-pow2: 2.0ms (13.7% of total)

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

adjust: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory

-4.8MiB live, 2.9MiB 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	1.0469677480954033e+217	1.1380566438637615e+221
2.0ms	-1.5190910702715156e-306	8.468049156786585e-305
2.0ms	-2.9057026171166586e+197	-1.170398725059213e+188

Compiler

Compiled 2 017 to 1 461 computations (27.6% saved)

bsearch4.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-1.5190910702715156e-306	8.468049156786585e-305
2.0ms	-2.9057026171166586e+197	-1.170398725059213e+188

Compiler

Compiled 1 433 to 1 029 computations (28.2% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.6475083050701189e+279	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.6475083050701189e+279	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch31.0ms (0.5%)

Memory

2.1MiB live, 9.7MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.0469677480954033e+217	1.1380566438637615e+221

Samples

11.0ms	96×	74	valid
10.0ms	96×	74	invalid

Compiler

Compiled 662 to 454 computations (31.4% saved)

Precisions

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

ival-pow: 5.0ms (31.9% of total)

ival-div!: 4.0ms (25.5% of total)

ival-mult!: 4.0ms (25.5% of total)

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

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

adjust: 0.0ms (0% of total)

bsearch60.0ms (1%)

Memory

-4.7MiB live, 19.1MiB allocated; 1ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.0889661676258265e-243	5.536553547791585e-242
22.0ms	-3.283849019334521e+148	-1.489149881307266e+148

Samples

23.0ms	192×	74	valid
17.0ms	203×	74	invalid

Compiler

Compiled 957 to 697 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult!: 9.0ms (31.5% of total)

ival-div!: 8.0ms (28% of total)

ival-pow: 7.0ms (24.5% of total)

ival-pow2: 4.0ms (14% of total)

ival-sub!: 1.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0889661676258265e-243	5.536553547791585e-242

Compiler

Compiled 577 to 422 computations (26.9% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0889661676258265e-243	5.536553547791585e-242

Compiler

Compiled 563 to 408 computations (27.5% saved)

bsearch6.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	4.126370572818162e-199	1.107302291187184e-197

Samples

2.0ms	16×	74	valid
2.0ms	21×	74	invalid

Compiler

Compiled 127 to 89 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-pow: 1.0ms (39% of total)

ival-div!: 1.0ms (39% of total)

ival-mult!: 1.0ms (39% of total)

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

adjust: 0.0ms (0% of total)

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

simplify55.0ms (0.9%)

Memory

4.9MiB live, 19.5MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	1648
1	274	1648
2	512	1648
3	2402	1648

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 l #s(literal -6799999999999999662372217912136458411717857889697175002665140929029247061694200098492730005638330834920518098494068325341531640737045261144026933459742673327749503530050786578347429057265664 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #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)))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 h l) #s(literal -1 binary64))) d))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 l #s(literal 8784717647942471/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 l #s(literal 57999999999999998288423087240056042185048023266018377535343362608867746330083584403841918813253593986561201488707221621965267523524732269839858864856031869480373858980116737910921876715343793109105522163188155062920675328 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 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) (.f64 (sqrt.f64 h) (sqrt.f64 l))) d))))))
(if (<=.f64 l #s(literal -6799999999999999662372217912136458411717857889697175002665140929029247061694200098492730005638330834920518098494068325341531640737045261144026933459742673327749503530050786578347429057265664 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 h l) #s(literal -1 binary64))) d))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 l #s(literal 8784717647942471/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 l #s(literal 57999999999999998288423087240056042185048023266018377535343362608867746330083584403841918813253593986561201488707221621965267523524732269839858864856031869480373858980116737910921876715343793109105522163188155062920675328 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 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) (.f64 (sqrt.f64 h) (sqrt.f64 l))) d))))))
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Outputs
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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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) 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 h l))) d))

derivations89.0ms (1.5%)

Memory

-8.1MiB live, 10.0MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 816 to 180 computations (90.1% saved)

preprocess92.0ms (1.6%)

Memory: 8.0MiB live, 61.3MiB allocated; 6ms collecting garbage
Remove: (abs M)
Compiler: Compiled 5 662 to 1 264 computations (77.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze309.0ms (5.2%)

sample3.3s (55.4%)

explain250.0ms (4.2%)

preprocess140.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

series84.0ms (1.4%)

rewrite66.0ms (1.1%)

eval12.0ms (0.2%)

prune17.0ms (0.3%)

series108.0ms (1.8%)

rewrite83.0ms (1.4%)

eval41.0ms (0.7%)

prune31.0ms (0.5%)

series88.0ms (1.5%)

rewrite82.0ms (1.4%)

eval31.0ms (0.5%)

prune31.0ms (0.5%)

series100.0ms (1.7%)

rewrite86.0ms (1.5%)

eval33.0ms (0.6%)

prune52.0ms (0.9%)

regimes155.0ms (2.6%)

regimes23.0ms (0.4%)

regimes16.0ms (0.3%)

regimes35.0ms (0.6%)

regimes13.0ms (0.2%)

regimes43.0ms (0.7%)

regimes16.0ms (0.3%)

regimes22.0ms (0.4%)

regimes36.0ms (0.6%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch192.0ms (3.2%)

bsearch7.0ms (0.1%)

bsearch33.0ms (0.6%)

bsearch5.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch31.0ms (0.5%)

bsearch60.0ms (1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch6.0ms (0.1%)

simplify55.0ms (0.9%)

derivations89.0ms (1.5%)

preprocess92.0ms (1.6%)

end0.0ms (0%)

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