Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze532.0ms (4.6%)

Memory

2.9MiB live, 566.1MiB allocated; 106ms 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)

sample5.8s (50%)

Memory

68.6MiB live, 6 576.8MiB allocated; 1.8s collecting garbage

Samples

2.5s	13 176×	0	invalid
1.7s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-mult: 1.0s (33.4% of total)

ival-div: 939.0ms (30.7% of total)

ival-pow: 692.0ms (22.7% of total)

ival-pow2: 258.0ms (8.4% of total)

ival-sub: 106.0ms (3.5% of total)

exact: 24.0ms (0.8% of total)

ival-assert: 8.0ms (0.3% of total)

adjust: 7.0ms (0.2% of total)

Bogosity

explain400.0ms (3.4%)

Memory

-20.9MiB live, 427.7MiB allocated; 97ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
58	0	-	4	(-7.619122334316644e-133 -2.2779679678373413e+183 -1.675212669686975e-121 4.833300728572198e-201 8.799023189465202e+292)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
54	0	-	6	(-5.479032577996327e-194 -2.3755886502662732e-179 -2.841514278792252e+125 -3.695930196209757e-44 -3.934427160321224e+46)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
45	0	-	1	(1.4752118652691745e-86 2.8332291736273413e-78 1.1310014112570878e-193 -3.588349736889161e-23 2.3079133023697438e-219)	`(.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))`
27	0	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
18	1	(2.2170198173704139e-190 3.338203093501999e-13 8.259030703136557e-88 -1.6106103713109664e-205 -3.054673726272843e-308)	1	(-6.7048183973888656e-105 -5.632925734954809e-93 -1.1654685032592515e-110 -6.2526524653830875e-78 -2.0232483693506816e-243)	`(/.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 h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	28	0
↳	`(/.f64 d h)`	overflow	28
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	26	0
↳	`(/.f64 d l)`	underflow	26
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	26	0
↳	`(/.f64 d h)`	underflow	26
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	22	0
↳	`(/.f64 d l)`	overflow	22
`*.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**	12	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))`	*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))))`	*uo**	12	0
↳	`(/.f64 d h)`	underflow	26
↳	`(/.f64 d l)`	underflow	26
↳	`(*.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	19
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	90
↳	`(.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	90
↳	`(/.f64 h l)`	overflow	26
↳	`(-.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	92
↳	`(.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	92
↳	`(*.f64 M D)`	overflow	38
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	49
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	9	0
↳	`(*.f64 M D)`	overflow	38
`*.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**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	90
↳	`(.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	90
↳	`(*.f64 M D)`	overflow	38
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	49
↳	`(/.f64 h l)`	underflow	29
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	3	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	79
↳	`(.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	79
↳	`(*.f64 M D)`	underflow	24
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	36
↳	`(/.f64 h l)`	overflow	26
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	2	0
↳	`(*.f64 M D)`	underflow	24

Confusion

	Predicted +	Predicted -
+	84	5
-	28	139

Precision

0.75

Recall

0.9438202247191011

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	5
-	28	0	139

Precision?

0.75

Recall?

0.9438202247191011

Freqs

test

number	freq
0	144
1	75
2	27
3	9
4	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

103.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 27.0ms (36% of total)

ival-div: 19.0ms (25.3% of total)

ival-pow: 19.0ms (25.3% of total)

ival-pow2: 6.0ms (8% of total)

ival-sub: 3.0ms (4% of total)

exact: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess159.0ms (1.4%)

Memory

3.6MiB live, 181.9MiB allocated; 36ms 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)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) D) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) d)) #s(literal 1 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)))

Symmetry

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(.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)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

66.7%

(*.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)))) (-.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)

series103.0ms (0.9%)

Memory

2.7MiB live, 147.1MiB allocated; 22ms 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
24.0ms	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))
13.0ms	D	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
10.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
7.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
6.0ms	l	@	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))

rewrite57.0ms (0.5%)

Memory

13.8MiB live, 59.9MiB 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 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/2 binary64))))
(.f64 (.f64 (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)))
(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 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))) (/.f64 h l)))
(.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) (/.f64 h l))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) (/.f64 h l)))
(/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)
(.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))))
(.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)) (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 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 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 d d))) d))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) d))
#s(approx (pow (/ d h) (/ 1 2)) (pow.f64 (/.f64 d h) #s(literal 1/2 binary64)))
#s(approx (/ d h) (/.f64 d h))
#s(approx d d)
#s(approx (pow (/ d l) (/ 1 2)) (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)))
#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 (pow.f64 d #s(literal 1 binary64)) (pow.f64 d #s(literal 1 binary64)) (.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 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #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 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 d d)) (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 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)))) (.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) d)) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 d d)) (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) d)) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (/ d h) (/ 1 2)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 d h) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (pow (/ d l) (/ 1 2)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 d l) #s(literal 1/2 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 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) 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)))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64)) #s(literal 1/2 binary64))) h (.f64 (.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)) #s(literal 1/2 binary64)) d) h)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 (.f64 d d) l)) h (*.f64 (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)) (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 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) h) (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) d)) (pow.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 d h) #s(literal 1/2 binary64))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 (.f64 d d) l)) h (*.f64 (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)) (pow.f64 (.f64 l h) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal 1/2 binary64)) 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)) (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #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 binary64) d) (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 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)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1 binary64) d) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 d l) #s(literal 1/2 binary64))))
#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)) (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64)) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (-.f64 (pow.f64 (.f64 M M) #s(literal -1 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)) (pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (-.f64 (pow.f64 (.f64 D D) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (.f64 D D)))

eval78.0ms (0.7%)

Memory: -24.4MiB live, 32.4MiB allocated; 43ms collecting garbage
Compiler: Compiled 5 026 to 488 computations (90.3% saved)

prune24.0ms (0.2%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	105	13	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	13	119

Accuracy

87.6%

Counts

119 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.9%	(.f64 (pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))))))
	51.9%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	66.1%	(.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 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)))
	55.2%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 (.f64 d d) l)) h (*.f64 (pow.f64 h #s(literal -1 binary64)) h))))
	54.9%	(.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)))) #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)))
▶	35.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	66.5%	(.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))))
	37.2%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.1%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 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))))
▶	51.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) d)) h))
	20.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (.f64 l h) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal 1/2 binary64)) d)) (*.f64 l l)))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) d))
▶	24.1%	#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) (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64))))

Compiler

Compiled 1 164 to 758 computations (34.9% saved)

series288.0ms (2.5%)

Memory

13.9MiB live, 435.3MiB allocated; 90ms collecting garbage

Counts

61 → 180

Calls

Call 1

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

Calls

15 calls:

Time	Variable		Point	Expression
60.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) (/ d l) l 1/4 (- 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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (pow (pow (* l h) -1) 1/2)) (* -1 d) -1 (pow (pow (* l h) -1) 1/2) (pow (* l h) -1) (* l h) 1/2 (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (pow (pow (/ h l) 3) 1/2) (pow (/ h l) 3) 3 (* (pow (/ h l) 1/2) d) (pow (/ h l) 1/2) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d l) (/ 1 2)) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
49.0ms	l	@	0	((* (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) (/ d l) l 1/4 (- 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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (pow (pow (* l h) -1) 1/2)) (* -1 d) -1 (pow (pow (* l h) -1) 1/2) (pow (* l h) -1) (* l h) 1/2 (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (pow (pow (/ h l) 3) 1/2) (pow (/ h l) 3) 3 (* (pow (/ h l) 1/2) d) (pow (/ h l) 1/2) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d l) (/ 1 2)) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
29.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) (/ d l) l 1/4 (- 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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (pow (pow (* l h) -1) 1/2)) (* -1 d) -1 (pow (pow (* l h) -1) 1/2) (pow (* l h) -1) (* l h) 1/2 (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (pow (pow (/ h l) 3) 1/2) (pow (/ h l) 3) 3 (* (pow (/ h l) 1/2) d) (pow (/ h l) 1/2) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d l) (/ 1 2)) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
28.0ms	l	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) (/ d l) l 1/4 (- 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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (pow (pow (* l h) -1) 1/2)) (* -1 d) -1 (pow (pow (* l h) -1) 1/2) (pow (* l h) -1) (* l h) 1/2 (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (pow (pow (/ h l) 3) 1/2) (pow (/ h l) 3) 3 (* (pow (/ h l) 1/2) d) (pow (/ h l) 1/2) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d l) (/ 1 2)) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
16.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) (/ d l) l 1/4 (- 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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (pow (pow (* l h) -1) 1/2)) (* -1 d) -1 (pow (pow (* l h) -1) 1/2) (pow (* l h) -1) (* l h) 1/2 (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (pow (pow (/ h l) 3) 1/2) (pow (/ h l) 3) 3 (* (pow (/ h l) 1/2) d) (pow (/ h l) 1/2) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d l) (/ 1 2)) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))

rewrite139.0ms (1.2%)

Memory

-35.1MiB live, 108.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	7796
0	607	6547
0	2002	6481

Stop Event

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

Counts

241 → 410

Calls

Call 1

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

eval58.0ms (0.5%)

Memory: 34.5MiB live, 80.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 23 947 to 1 500 computations (93.7% saved)

prune83.0ms (0.7%)

Memory

-17.1MiB live, 130.6MiB allocated; 30ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	457	13	470
Fresh	3	5	8
Picked	5	0	5
Done	0	0	0
Total	465	18	483

Accuracy

91.3%

Counts

483 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.9%	(.f64 (pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))))))
	54.9%	(.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)))) #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)))
	30.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 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 1 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)))
▶	66.5%	(.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)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/8 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))))
	36.7%	(.f64 (.f64 (/.f64 (pow.f64 d #s(literal 1/2 binary64)) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)))
▶	66.0%	(.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 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)))
	36.1%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 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))))
	40.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) d)) h))
	29.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 1/2 binary64))) d)) h))
▶	62.4%	#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)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) d)) h))
	20.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (.f64 l h) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal 1/2 binary64)) d)) (*.f64 l l)))
	40.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 D M) #s(literal 1 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64)))) #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 d d))) d)) h))
	10.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) (.f64 d (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) h))
▶	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) d))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) d)))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l h) #s(literal 1/2 binary64)))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) #s(approx (pow (pow (* l h) -1) 1/2) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))))
▶	16.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/.f64 (fma.f64 (.f64 (pow.f64 (.f64 l h) #s(literal 1/2 binary64)) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal 1/2 binary64)) d)) (*.f64 l l))))

Compiler

Compiled 2 090 to 1 282 computations (38.7% saved)

series440.0ms (3.8%)

Memory

25.0MiB live, 528.7MiB allocated; 135ms collecting garbage

Counts

75 → 233

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
56.0ms	M	@	0	((* (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8))) (pow (/ d l) 1/4) (/ d l) l 1/4 (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)) (pow (/ d l) 1/8) 1/8 (- 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) (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/ (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* l l)) (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) (pow (* l h) 1/2) (* l h) 1/2 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) -1/8 (* (pow (/ (pow l 3) h) 1/2) d) (pow (/ (pow l 3) h) 1/2) (/ (pow l 3) h) (pow l 3) 3 (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (pow (* l h) -1) 1/2) d) (pow (pow (* l h) -1) 1/2) (pow (* l h) -1) -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) d)) (pow (/ h l) 3/2)) (* (pow (/ h l) 1/2) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2)) (* (pow (/ h l) 1/2) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (pow (/ h l) 3/2) 3/2 (* (pow (/ h l) 1/2) d) (pow (/ h l) 1/2) (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d h) 1/4) (pow (/ d l) (/ 1 2)) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
49.0ms	D	@	0	((* (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8))) (pow (/ d l) 1/4) (/ d l) l 1/4 (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)) (pow (/ d l) 1/8) 1/8 (- 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) (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/ (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* l l)) (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) (pow (* l h) 1/2) (* l h) 1/2 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) -1/8 (* (pow (/ (pow l 3) h) 1/2) d) (pow (/ (pow l 3) h) 1/2) (/ (pow l 3) h) (pow l 3) 3 (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (pow (* l h) -1) 1/2) d) (pow (pow (* l h) -1) 1/2) (pow (* l h) -1) -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) d)) (pow (/ h l) 3/2)) (* (pow (/ h l) 1/2) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2)) (* (pow (/ h l) 1/2) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (pow (/ h l) 3/2) 3/2 (* (pow (/ h l) 1/2) d) (pow (/ h l) 1/2) (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d h) 1/4) (pow (/ d l) (/ 1 2)) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
46.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8))) (pow (/ d l) 1/4) (/ d l) l 1/4 (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)) (pow (/ d l) 1/8) 1/8 (- 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) (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/ (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* l l)) (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) (pow (* l h) 1/2) (* l h) 1/2 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) -1/8 (* (pow (/ (pow l 3) h) 1/2) d) (pow (/ (pow l 3) h) 1/2) (/ (pow l 3) h) (pow l 3) 3 (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (pow (* l h) -1) 1/2) d) (pow (pow (* l h) -1) 1/2) (pow (* l h) -1) -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) d)) (pow (/ h l) 3/2)) (* (pow (/ h l) 1/2) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2)) (* (pow (/ h l) 1/2) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (pow (/ h l) 3/2) 3/2 (* (pow (/ h l) 1/2) d) (pow (/ h l) 1/2) (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d h) 1/4) (pow (/ d l) (/ 1 2)) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
43.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8))) (pow (/ d l) 1/4) (/ d l) l 1/4 (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)) (pow (/ d l) 1/8) 1/8 (- 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) (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/ (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* l l)) (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) (pow (* l h) 1/2) (* l h) 1/2 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) -1/8 (* (pow (/ (pow l 3) h) 1/2) d) (pow (/ (pow l 3) h) 1/2) (/ (pow l 3) h) (pow l 3) 3 (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (pow (* l h) -1) 1/2) d) (pow (pow (* l h) -1) 1/2) (pow (* l h) -1) -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) d)) (pow (/ h l) 3/2)) (* (pow (/ h l) 1/2) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2)) (* (pow (/ h l) 1/2) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (pow (/ h l) 3/2) 3/2 (* (pow (/ h l) 1/2) d) (pow (/ h l) 1/2) (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d h) 1/4) (pow (/ d l) (/ 1 2)) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
35.0ms	h	@	inf	((* (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (* (pow (/ d l) 1/4) (* (pow (/ d l) 1/8) (pow (/ d l) 1/8))) (pow (/ d l) 1/4) (/ d l) l 1/4 (* (pow (/ d l) 1/8) (pow (/ d l) 1/8)) (pow (/ d l) 1/8) 1/8 (- 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) (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/ (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* l l)) (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) (pow (* l h) 1/2) (* l h) 1/2 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) -1/8 (* (pow (/ (pow l 3) h) 1/2) d) (pow (/ (pow l 3) h) 1/2) (/ (pow l 3) h) (pow l 3) 3 (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (pow (* l h) -1) 1/2) d) (pow (pow (* l h) -1) 1/2) (pow (* l h) -1) -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) d)) (pow (/ h l) 3/2)) (* (pow (/ h l) 1/2) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2)) (* (pow (/ h l) 1/2) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (pow (/ h l) 3/2) 3/2 (* (pow (/ h l) 1/2) d) (pow (/ h l) 1/2) (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d h) 1/4) (pow (/ d l) (/ 1 2)) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))

rewrite143.0ms (1.2%)

Memory

14.8MiB live, 110.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	679	10389
0	785	8545
0	2723	8464

Stop Event

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

Counts

308 → 523

Calls

Call 1

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

eval101.0ms (0.9%)

Memory: -37.1MiB live, 108.7MiB allocated; 62ms collecting garbage
Compiler: Compiled 36 086 to 2 156 computations (94% saved)

prune74.0ms (0.6%)

Memory

17.3MiB live, 110.7MiB allocated; 10ms collecting garbage

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	519	7	526
Fresh	4	9	13
Picked	1	4	5
Done	0	0	0
Total	524	20	544

Accuracy

92.2%

Counts

544 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.9%	(.f64 (pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))))))
	54.9%	(.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)))) #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)))
	30.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 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 1 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)))
✓	66.5%	(.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)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/8 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))))
▶	36.7%	(.f64 (.f64 (/.f64 (pow.f64 d #s(literal 1/2 binary64)) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)))
✓	66.0%	(.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 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)))
	36.1%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 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))))
	35.1%	(.f64 #s(approx ( (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #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))))
	40.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) d)) h))
▶	34.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) d)) h))
	62.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) d)) h))
	40.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 D M) #s(literal 1 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64)))) #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 d d))) d)) h))
✓	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) d))
	24.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) d))
▶	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) d)))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l h) #s(literal 1/2 binary64)))))
✓	16.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/.f64 (fma.f64 (.f64 (pow.f64 (.f64 l h) #s(literal 1/2 binary64)) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal 1/2 binary64)) d)) (*.f64 l l))))
	18.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/.f64 (fma.f64 (.f64 (pow.f64 (.f64 l h) #s(literal 1/2 binary64)) (.f64 (.f64 D D) (.f64 M (/.f64 M d)))) #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal 1/2 binary64)) d)) (*.f64 l l))))
	21.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (.f64 l h) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal 1/2 binary64)) d)) l) l)))
▶	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/.f64 #s(approx (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (.f64 l h) #s(literal 1/2 binary64)))) (*.f64 l l))))

Compiler

Compiled 2 267 to 1 380 computations (39.1% saved)

series235.0ms (2%)

Memory

8.9MiB live, 334.8MiB allocated; 47ms collecting garbage

Counts

62 → 215

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
45.0ms	h	@	-inf	((* (pow (/ d h) 1/2) (* (pow (/ d l) 1/2) (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2))))) (pow (/ d h) 1/2) (/ d h) d h 1/2 (* (pow (/ d l) 1/2) (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2)))) (pow (/ d l) 1/2) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2))) 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2)) (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/ (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* l l)) (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* (* (/ (pow (* D M) 2) d) -1/8) (pow (* l h) 1/2)) (* (/ (pow (* D M) 2) d) -1/8) (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) -1/8 (pow (* l h) 1/2) (* l h) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (pow (* l h) -1) 1/4) (pow (pow (* l h) -1) 1/4)) (* -1 d)) (* (pow (pow (* l h) -1) 1/4) (pow (pow (* l h) -1) 1/4)) (pow (pow (* l h) -1) 1/4) (pow (* l h) -1) -1 1/4 (* -1 d) (* (* (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) d)) (pow (/ h l) 3/2)) (* (/ (sqrt h) (sqrt l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2)) (* (/ (sqrt h) (sqrt l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2) 3/2 (* (/ (sqrt h) (sqrt l)) d) (/ (sqrt h) (sqrt l)) (sqrt h) (sqrt l) (* (* (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (pow d 1/2) (sqrt h)) (pow d 1/2) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h))
22.0ms	h	@	0	((* (pow (/ d h) 1/2) (* (pow (/ d l) 1/2) (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2))))) (pow (/ d h) 1/2) (/ d h) d h 1/2 (* (pow (/ d l) 1/2) (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2)))) (pow (/ d l) 1/2) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2))) 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2)) (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/ (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* l l)) (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* (* (/ (pow (* D M) 2) d) -1/8) (pow (* l h) 1/2)) (* (/ (pow (* D M) 2) d) -1/8) (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) -1/8 (pow (* l h) 1/2) (* l h) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (pow (* l h) -1) 1/4) (pow (pow (* l h) -1) 1/4)) (* -1 d)) (* (pow (pow (* l h) -1) 1/4) (pow (pow (* l h) -1) 1/4)) (pow (pow (* l h) -1) 1/4) (pow (* l h) -1) -1 1/4 (* -1 d) (* (* (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) d)) (pow (/ h l) 3/2)) (* (/ (sqrt h) (sqrt l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2)) (* (/ (sqrt h) (sqrt l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2) 3/2 (* (/ (sqrt h) (sqrt l)) d) (/ (sqrt h) (sqrt l)) (sqrt h) (sqrt l) (* (* (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (pow d 1/2) (sqrt h)) (pow d 1/2) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h))
18.0ms	l	@	-inf	((* (pow (/ d h) 1/2) (* (pow (/ d l) 1/2) (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2))))) (pow (/ d h) 1/2) (/ d h) d h 1/2 (* (pow (/ d l) 1/2) (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2)))) (pow (/ d l) 1/2) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2))) 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2)) (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/ (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* l l)) (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* (* (/ (pow (* D M) 2) d) -1/8) (pow (* l h) 1/2)) (* (/ (pow (* D M) 2) d) -1/8) (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) -1/8 (pow (* l h) 1/2) (* l h) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (pow (* l h) -1) 1/4) (pow (pow (* l h) -1) 1/4)) (* -1 d)) (* (pow (pow (* l h) -1) 1/4) (pow (pow (* l h) -1) 1/4)) (pow (pow (* l h) -1) 1/4) (pow (* l h) -1) -1 1/4 (* -1 d) (* (* (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) d)) (pow (/ h l) 3/2)) (* (/ (sqrt h) (sqrt l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2)) (* (/ (sqrt h) (sqrt l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2) 3/2 (* (/ (sqrt h) (sqrt l)) d) (/ (sqrt h) (sqrt l)) (sqrt h) (sqrt l) (* (* (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (pow d 1/2) (sqrt h)) (pow d 1/2) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h))
17.0ms	l	@	inf	((* (pow (/ d h) 1/2) (* (pow (/ d l) 1/2) (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2))))) (pow (/ d h) 1/2) (/ d h) d h 1/2 (* (pow (/ d l) 1/2) (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2)))) (pow (/ d l) 1/2) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2))) 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2)) (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/ (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* l l)) (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* (* (/ (pow (* D M) 2) d) -1/8) (pow (* l h) 1/2)) (* (/ (pow (* D M) 2) d) -1/8) (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) -1/8 (pow (* l h) 1/2) (* l h) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (pow (* l h) -1) 1/4) (pow (pow (* l h) -1) 1/4)) (* -1 d)) (* (pow (pow (* l h) -1) 1/4) (pow (pow (* l h) -1) 1/4)) (pow (pow (* l h) -1) 1/4) (pow (* l h) -1) -1 1/4 (* -1 d) (* (* (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) d)) (pow (/ h l) 3/2)) (* (/ (sqrt h) (sqrt l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2)) (* (/ (sqrt h) (sqrt l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2) 3/2 (* (/ (sqrt h) (sqrt l)) d) (/ (sqrt h) (sqrt l)) (sqrt h) (sqrt l) (* (* (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (pow d 1/2) (sqrt h)) (pow d 1/2) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h))
16.0ms	h	@	inf	((* (pow (/ d h) 1/2) (* (pow (/ d l) 1/2) (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2))))) (pow (/ d h) 1/2) (/ d h) d h 1/2 (* (pow (/ d l) 1/2) (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2)))) (pow (/ d l) 1/2) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2))) 1 (* (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2)) (/ h l) (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D (* (* (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) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/ (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* l l)) (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (* (* (/ (pow (* D M) 2) d) -1/8) (pow (* l h) 1/2)) (* (/ (pow (* D M) 2) d) -1/8) (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) -1/8 (pow (* l h) 1/2) (* l h) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (pow (* l h) -1) 1/4) (pow (pow (* l h) -1) 1/4)) (* -1 d)) (* (pow (pow (* l h) -1) 1/4) (pow (pow (* l h) -1) 1/4)) (pow (pow (* l h) -1) 1/4) (pow (* l h) -1) -1 1/4 (* -1 d) (* (* (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) d)) (pow (/ h l) 3/2)) (* (/ (sqrt h) (sqrt l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2)) (* (/ (sqrt h) (sqrt l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2) 3/2 (* (/ (sqrt h) (sqrt l)) d) (/ (sqrt h) (sqrt l)) (sqrt h) (sqrt l) (* (* (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l))) (* (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (pow d 1/2) (sqrt h)) (pow d 1/2) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l)) (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h) l) (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) h))

rewrite123.0ms (1.1%)

Memory

-0.7MiB live, 141.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	695	10323
0	772	8717
0	2965	8585

Stop Event

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

Counts

277 → 437

Calls

Call 1

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

eval77.0ms (0.7%)

Memory: 13.4MiB live, 58.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 34 775 to 2 142 computations (93.8% saved)

prune131.0ms (1.1%)

Memory

-18.9MiB live, 148.5MiB allocated; 109ms collecting garbage

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	536	7	543
Fresh	4	7	11
Picked	1	4	5
Done	0	4	4
Total	541	22	563

Accuracy

92.9%

Counts

563 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.9%	(.f64 (pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64))))))
	54.6%	(.f64 (pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) #s(approx (- 1 (/ (* (* (* (* (/ M 2) (/ D d)) (* (/ M 2) (/ D d))) 1/2) 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))))
	30.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 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 1 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)))
✓	66.5%	(.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)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/8 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))))
✓	36.7%	(.f64 (.f64 (/.f64 (pow.f64 d #s(literal 1/2 binary64)) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)))
	35.5%	(.f64 (.f64 (/.f64 (exp.f64 (.f64 (log.f64 d) #s(literal 1/2 binary64))) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)))
✓	66.0%	(.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 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)))
	36.1%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 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))))
	36.1%	(.f64 #s(approx ( (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)))
	37.6%	(.f64 #s(approx ( (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)))
	40.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) d)) h))
✓	34.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) d)) h))
	62.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) d)) h))
	40.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 D M) #s(literal 1 binary64)) (pow.f64 (.f64 D M) #s(literal 1 binary64)))) #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 d d))) d)) h))
✓	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) d))
	24.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) d))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 l h) #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) d)))
	3.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(approx (pow (pow ( l h) -1) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 l) #s(literal -1 binary64) (.f64 (log.f64 h) #s(literal -1 binary64)))))) (.f64 #s(literal -1 binary64) d)))
✓	16.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/.f64 (fma.f64 (.f64 (pow.f64 (.f64 l h) #s(literal 1/2 binary64)) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal 1/2 binary64)) d)) (*.f64 l l))))
	18.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/.f64 (fma.f64 (.f64 (pow.f64 (.f64 l h) #s(literal 1/2 binary64)) (.f64 (.f64 D D) (.f64 M (/.f64 M d)))) #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal 1/2 binary64)) d)) (*.f64 l l))))
	19.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/.f64 (/.f64 #s(approx (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (.f64 (pow.f64 (.f64 l h) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)))) l) l)))
✓	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/.f64 #s(approx (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (.f64 l h) #s(literal 1/2 binary64)))) (*.f64 l l))))

Compiler

Compiled 3 752 to 1 147 computations (69.4% saved)

regimes88.0ms (0.8%)

Memory

19.4MiB live, 158.6MiB allocated; 15ms collecting garbage

Counts

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

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

Calls

7 calls:

15.0ms	D
14.0ms	l
12.0ms	d
11.0ms	M
11.0ms	h

Results

Accuracy	Segments	Branch
70.0%	3	`(*.f64 M D)`
73.7%	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))))`
79.2%	5	`d`
77.7%	4	`h`
73.5%	2	`l`
66.7%	1	`M`
66.7%	1	`D`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes17.0ms (0.1%)

Memory

-33.0MiB live, 18.8MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
77.7%	4	`h`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes11.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
77.7%	4	`h`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes32.0ms (0.3%)

Memory

-16.5MiB live, 29.9MiB allocated; 2ms collecting garbage

Counts

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

Outputs
(.f64 #s(approx ( (/ (pow d 1/2) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) 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 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 1/2 binary64)) h) l)))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (pow.f64 (pow.f64 (.f64 l h) #s(literal -1 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))))
#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)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (.f64 (pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) d)) h))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Calls

2 calls:

20.0ms	d
9.0ms	h

Results

Accuracy	Segments	Branch
79.1%	5	`d`
77.4%	4	`h`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes39.0ms (0.3%)

Memory

23.3MiB live, 68.2MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

4 calls:

12.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
8.0ms	h
8.0ms	l
8.0ms	d

Results

Accuracy	Segments	Branch
74.3%	3	`l`
71.7%	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))))`
76.2%	4	`h`
77.9%	5	`d`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes30.0ms (0.3%)

Memory

16.8MiB live, 62.2MiB allocated; 4ms collecting garbage

Counts

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

Outputs

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

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

Calls

3 calls:

11.0ms	d
8.0ms	h
8.0ms	l

Results

Accuracy	Segments	Branch
74.3%	3	`l`
75.5%	4	`h`
78.7%	6	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes51.0ms (0.4%)

Memory

-19.3MiB live, 77.7MiB allocated; 14ms collecting garbage

Counts

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

Outputs

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

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

#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)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) d)) h))

Calls

3 calls:

17.0ms	h
13.0ms	d
12.0ms	l

Results

Accuracy	Segments	Branch
74.6%	4	`h`
74.6%	4	`d`
73.3%	3	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes65.0ms (0.6%)

Memory

-13.6MiB live, 133.3MiB allocated; 8ms collecting garbage

Counts

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

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

Calls

7 calls:

16.0ms	l
10.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
8.0ms	M
7.0ms	d
7.0ms	h

Results

Accuracy	Segments	Branch
62.5%	1	`M`
62.5%	1	`D`
62.5%	1	`(*.f64 M D)`
71.3%	4	`d`
68.6%	3	`h`
62.5%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
68.7%	3	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes9.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
69.0%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes19.0ms (0.2%)

Memory

-9.1MiB live, 37.8MiB allocated; 1ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

7.0ms	d
5.0ms	h
5.0ms	l

Results

Accuracy	Segments	Branch
62.5%	1	`h`
62.5%	1	`l`
67.1%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes36.0ms (0.3%)

Memory

-21.7MiB live, 72.4MiB allocated; 4ms collecting garbage

Counts

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

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

Calls

7 calls:

6.0ms	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))))
5.0ms	M
5.0ms	h
5.0ms	d

Results

Accuracy	Segments	Branch
52.5%	4	`l`
43.0%	2	`(*.f64 M D)`
42.7%	2	`D`
49.0%	4	`h`
42.8%	2	`M`
48.1%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
60.4%	5	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes10.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

2 calls:

4.0ms	l
4.0ms	d

Results

Accuracy	Segments	Branch
49.6%	3	`l`
50.9%	5	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes5.0ms (0%)

Memory

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

Counts

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
49.6%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes4.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
49.6%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes68.0ms (0.6%)

Memory

-33.6MiB live, 22.1MiB allocated; 9ms collecting garbage

Counts

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
32.7%	2	`D`
34.3%	2	`M`
33.9%	2	`(*.f64 M D)`
38.2%	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))))`
30.0%	2	`h`
34.1%	4	`d`
33.7%	3	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes16.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

7 calls:

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))))
2.0ms	M
2.0ms	d
2.0ms	D
2.0ms	h

Results

Accuracy	Segments	Branch
23.1%	2	`h`
24.1%	2	`d`
24.7%	2	`l`
24.4%	2	`D`
24.7%	2	`(*.f64 M D)`
24.4%	2	`M`
24.2%	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 43 to 53 computations (-23.3% saved)

regimes10.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

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

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

Outputs

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

Calls

7 calls:

1.0ms	d
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	h
1.0ms	l
1.0ms	M

Results

Accuracy	Segments	Branch
19.6%	1	`h`
19.6%	1	`d`
19.6%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
19.6%	1	`M`
19.6%	1	`D`
19.6%	1	`(*.f64 M D)`
19.6%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes8.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB 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)))) #s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (pow (pow (/ h l) 3) 1/2)) (* (pow (/ h l) 1/2) d)) h) (/.f64 #s(approx (+ (* (* (pow (* l h) 1/2) (* (* D D) (/ (* M M) d))) -1/8) (* (pow (/ (pow l 3) h) 1/2) d)) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (*.f64 l h) #s(literal 1/2 binary64)))) (*.f64 l l))))

Outputs

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

Calls

7 calls:

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	M
1.0ms	h
1.0ms	d

Results

Accuracy	Segments	Branch
16.6%	1	`D`
16.6%	1	`(*.f64 M D)`
16.6%	1	`M`
16.6%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
16.6%	1	`l`
16.6%	1	`d`
16.6%	1	`h`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch183.0ms (1.6%)

Memory

12.6MiB live, 246.0MiB allocated; 23ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	4.132713317789802e+186	4.923957481288244e+186
57.0ms	-5.2376148417880865e-307	1.3751266398938773e-303
93.0ms	-6.577283911471754e+156	-3.26479637595715e+155

Samples

96.0ms	306×	0	invalid
51.0ms	288×	0	valid

Compiler

Compiled 1 893 to 1 227 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-div: 65.0ms (54.3% of total)

ival-mult: 23.0ms (19.2% of total)

ival-pow: 21.0ms (17.5% of total)

ival-pow2: 6.0ms (5% of total)

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

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch39.0ms (0.3%)

Memory

-0.5MiB live, 45.6MiB allocated; 5ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	4.132713317789802e+186	4.923957481288244e+186
2.0ms	-5.2376148417880865e-307	1.3751266398938773e-303
33.0ms	-6.577283911471754e+156	-3.26479637595715e+155

Samples

10.0ms	73×	0	invalid
8.0ms	48×	0	valid

Compiler

Compiled 1 921 to 1 241 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (29.5% of total)

ival-mult: 4.0ms (29.5% of total)

ival-pow: 3.0ms (22.1% of total)

ival-sub: 1.0ms (7.4% of total)

ival-pow2: 1.0ms (7.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory

-36.1MiB live, 11.6MiB allocated; 3ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	4.132713317789802e+186	4.923957481288244e+186
2.0ms	-5.2376148417880865e-307	1.3751266398938773e-303
22.0ms	-6.577283911471754e+156	-3.26479637595715e+155

Compiler

Compiled 1 963 to 1 262 computations (35.7% saved)

bsearch264.0ms (2.3%)

Memory

52.6MiB live, 373.2MiB allocated; 47ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
99.0ms	2.1209114019067624e-202	2.0255367293017818e-201
36.0ms	-4.638218693633599e-207	-7.147716054980438e-208
48.0ms	-8.226565897966779e-138	-1.7709162008411365e-140
60.0ms	-1.4878264488638319e+147	-4.5000353308013895e+133

Samples

124.0ms	480×	0	valid
77.0ms	424×	0	invalid

Compiler

Compiled 3 040 to 1 956 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-pow: 62.0ms (37.1% of total)

ival-mult: 34.0ms (20.3% of total)

ival-div: 33.0ms (19.7% of total)

ival-pow2: 31.0ms (18.5% of total)

ival-sub: 4.0ms (2.4% of total)

ival-true: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Memory

-25.0MiB live, 19.8MiB allocated; 19ms 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	2.1209114019067624e-202	2.0255367293017818e-201
1.0ms	-4.638218693633599e-207	-7.147716054980438e-208
2.0ms	-8.226565897966779e-138	-1.7709162008411365e-140
29.0ms	-1.4878264488638319e+147	-4.5000353308013895e+133

Compiler

Compiled 3 082 to 1 974 computations (36% saved)

bsearch185.0ms (1.6%)

Memory

27.6MiB live, 212.7MiB allocated; 51ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	4.3346109879083395e+173	2.4849920505467332e+174
133.0ms	-5.6351960159480206e-303	5.619679099161795e-300

Samples

104.0ms	256×	0	valid
45.0ms	268×	0	invalid

Compiler

Compiled 1 874 to 1 210 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 19.0ms (29.3% of total)

ival-mult: 18.0ms (27.8% of total)

ival-pow: 16.0ms (24.7% of total)

ival-sub: 6.0ms (9.3% of total)

ival-pow2: 6.0ms (9.3% of total)

exact: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch5.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.3346109879083395e+173	2.4849920505467332e+174
2.0ms	-5.6351960159480206e-303	5.619679099161795e-300

Compiler

Compiled 1 890 to 1 210 computations (36% saved)

bsearch168.0ms (1.4%)

Memory

-32.7MiB live, 259.8MiB allocated; 31ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	9.022869636227488e+78	2.7206514879521177e+82
29.0ms	2.9119049118324214e-285	4.658900349071311e-284
70.0ms	-7.338832319046074e+182	-2.5509748502228258e+177

Samples

66.0ms	352×	0	valid
51.0ms	378×	0	invalid

Compiler

Compiled 2 621 to 1 650 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 28.0ms (34% of total)

ival-mult: 26.0ms (31.5% of total)

ival-pow: 15.0ms (18.2% of total)

ival-pow2: 8.0ms (9.7% of total)

ival-sub: 3.0ms (3.6% of total)

ival-true: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9119049118324214e-285	4.658900349071311e-284
2.0ms	-7.338832319046074e+182	-2.5509748502228258e+177

Compiler

Compiled 1 685 to 1 050 computations (37.7% saved)

bsearch69.0ms (0.6%)

Memory

21.9MiB live, 115.4MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
60.0ms	4.659513306947167e+188	1.0186075415551969e+203
2.0ms	-7.338832319046074e+182	-2.5509748502228258e+177

Samples

25.0ms	160×	0	valid
23.0ms	152×	0	invalid

Compiler

Compiled 2 165 to 1 350 computations (37.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 11.0ms (32.3% of total)

ival-mult: 11.0ms (32.3% of total)

ival-pow: 6.0ms (17.6% of total)

ival-pow2: 3.0ms (8.8% of total)

ival-sub: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch342.0ms (2.9%)

Memory

-35.0MiB live, 297.3MiB allocated; 76ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
73.0ms	2.159565988271222e+152	1.694449005283779e+155
72.0ms	1.1074518539964286e-130	6.0661301635547694e-117
91.0ms	6.812251375920656e-266	5.171531757289176e-249
78.0ms	-5.438938476379924e+52	-2.567624496272132e+45

Samples

133.0ms	548×	0	invalid
120.0ms	592×	0	valid

Compiler

Compiled 6 593 to 3 884 computations (41.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-div: 107.0ms (55.2% of total)

ival-mult: 38.0ms (19.6% of total)

ival-pow: 24.0ms (12.4% of total)

ival-pow2: 12.0ms (6.2% of total)

ival-sub: 9.0ms (4.6% of total)

ival-true: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

bsearch96.0ms (0.8%)

Memory

31.4MiB live, 129.7MiB allocated; 15ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	2.428578513812787e+77	4.100935413093298e+77
57.0ms	3.724573670497405e-287	6.07177120897422e-279

Samples

40.0ms	208×	0	valid
30.0ms	202×	0	invalid

Compiler

Compiled 1 837 to 1 157 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-pow: 17.0ms (32.5% of total)

ival-div: 14.0ms (26.8% of total)

ival-mult: 14.0ms (26.8% of total)

ival-pow2: 4.0ms (7.7% of total)

ival-sub: 2.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch56.0ms (0.5%)

Memory

6.9MiB live, 99.4MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	4.100935413093298e+77	5.444467021251883e+79
2.0ms	3.724573670497405e-287	6.07177120897422e-279

Samples

21.0ms	112×	0	valid
19.0ms	115×	0	invalid

Compiler

Compiled 2 388 to 1 478 computations (38.1% saved)

Precisions

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

ival-mult: 10.0ms (34.7% of total)

ival-div: 8.0ms (27.8% of total)

ival-pow: 7.0ms (24.3% of total)

ival-pow2: 2.0ms (6.9% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory

-37.4MiB live, 9.0MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	4.100935413093298e+77	5.444467021251883e+79
5.0ms	3.724573670497405e-287	6.07177120897422e-279

Compiler

Compiled 2 388 to 1 487 computations (37.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-5.810781525745031e+149	-3.9467944893197216e+75

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch36.0ms (0.3%)

Memory

14.9MiB live, 64.9MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	4.100935413093298e+77	5.444467021251883e+79

Samples

13.0ms	80×	0	valid
10.0ms	70×	0	invalid

Compiler

Compiled 1 459 to 877 computations (39.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 5.0ms (29% of total)

ival-mult: 5.0ms (29% of total)

ival-pow: 5.0ms (29% of total)

ival-pow2: 2.0ms (11.6% of total)

ival-sub: 1.0ms (5.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify79.0ms (0.7%)

Memory

23.8MiB live, 111.7MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	276	3404
1	388	3394
2	806	3394
3	3578	3394

Stop Event

1×	node limit

Calls

Call 1

Inputs
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Outputs
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derivations133.0ms (1.1%)

Memory

-32.0MiB live, 157.7MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 3 902 to 283 computations (92.7% saved)

preprocess333.0ms (2.9%)

Memory

8.3MiB live, 479.9MiB allocated; 167ms collecting garbage

Remove

(abs D)

(abs M)

Compiler

Compiled 9 978 to 1 394 computations (86% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze532.0ms (4.6%)

sample5.8s (50%)

explain400.0ms (3.4%)

preprocess159.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

series103.0ms (0.9%)

rewrite57.0ms (0.5%)

eval78.0ms (0.7%)

prune24.0ms (0.2%)

series288.0ms (2.5%)

rewrite139.0ms (1.2%)

eval58.0ms (0.5%)

prune83.0ms (0.7%)

series440.0ms (3.8%)

rewrite143.0ms (1.2%)

eval101.0ms (0.9%)

prune74.0ms (0.6%)

series235.0ms (2%)

rewrite123.0ms (1.1%)

eval77.0ms (0.7%)

prune131.0ms (1.1%)

regimes88.0ms (0.8%)

regimes17.0ms (0.1%)

regimes11.0ms (0.1%)

regimes32.0ms (0.3%)

regimes39.0ms (0.3%)

regimes30.0ms (0.3%)

regimes51.0ms (0.4%)

regimes65.0ms (0.6%)

regimes9.0ms (0.1%)

regimes19.0ms (0.2%)

regimes36.0ms (0.3%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes68.0ms (0.6%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch183.0ms (1.6%)

bsearch39.0ms (0.3%)

bsearch25.0ms (0.2%)

bsearch264.0ms (2.3%)

bsearch35.0ms (0.3%)

bsearch185.0ms (1.6%)

bsearch5.0ms (0%)

bsearch168.0ms (1.4%)

bsearch4.0ms (0%)

bsearch69.0ms (0.6%)

bsearch342.0ms (2.9%)

bsearch96.0ms (0.8%)

bsearch56.0ms (0.5%)

bsearch7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch36.0ms (0.3%)

simplify79.0ms (0.7%)

derivations133.0ms (1.1%)

preprocess333.0ms (2.9%)

end0.0ms (0%)

Profiling