Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze510.0ms (5.4%)

Memory

8.7MiB live, 818.7MiB allocated; 124ms 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)

sample5.1s (53.9%)

Memory

12.7MiB live, 6 074.2MiB allocated; 2.3s collecting garbage

Samples

2.1s	13 194×	0	invalid
1.3s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-div!: 727.0ms (31% of total)

ival-mult!: 669.0ms (28.5% of total)

ival-pow: 635.0ms (27.1% of total)

ival-pow2: 254.0ms (10.8% of total)

ival-sub!: 55.0ms (2.3% of total)

adjust: 4.0ms (0.2% of total)

Bogosity

preprocess41.0ms (0.4%)

Memory

3.4MiB live, 48.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.3%	(.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))))

Status

Accuracy

Program

▶

69.3%

(*.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))))

Symmetry

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 62 to 44 computations (29% saved)

series88.0ms (0.9%)

Memory

9.3MiB live, 162.2MiB allocated; 16ms 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
13.0ms	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))
12.0ms	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))

rewrite85.0ms (0.9%)

Memory

6.0MiB live, 51.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

70 → 102

Calls

Call 1

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

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

eval9.0ms (0.1%)

Memory: 14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 366 to 494 computations (63.8% saved)

prune35.0ms (0.4%)

Memory

-9.8MiB live, 40.6MiB allocated; 9ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	66	23	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	23	90

Accuracy

90.3%

Counts

90 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(.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))))
	69.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
▶	71.7%	(.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 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	44.3%	(.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 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	18.1%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
▶	41.1%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	69.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.9%	(.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))))
	69.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.2%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 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))))
	69.0%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))))
	40.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	10.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	24.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 (.f64 (.f64 h h) h) (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	13.4%	#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 (.f64 M M) (.f64 D D))) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	9.5%	#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 d (.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (.f64 (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64))) (*.f64 M M)))
	26.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))) d (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 l l) l) h))))) h))
	18.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1 binary64) (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64)))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
▶	28.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))

Compiler

Compiled 1 552 to 1 382 computations (11% saved)

series145.0ms (1.5%)

Memory

-25.0MiB live, 255.4MiB allocated; 43ms collecting garbage

Counts

56 → 152

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite89.0ms (0.9%)

Memory

10.9MiB live, 107.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	6714
0	547	5806
0	1819	5748

Stop Event

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

Counts

208 → 357

Calls

Call 1

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

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

eval46.0ms (0.5%)

Memory: 4.1MiB live, 49.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 123 to 1 410 computations (65.8% saved)

prune53.0ms (0.6%)

Memory

21.0MiB live, 68.3MiB allocated; 2ms collecting garbage

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	253	33	286
Fresh	13	5	18
Picked	3	2	5
Done	0	0	0
Total	269	40	309

Accuracy

91.9%

Counts

309 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.9%	(.f64 (pow.f64 (/.f64 (.f64 d (/.f64 d l)) h) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	58.7%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	42.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
	71.3%	(.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 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 (*.f64 D M) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
	43.1%	(.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 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 D (+.f64 d d)) M)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) h) l)))
	66.2%	(.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 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))))
	44.3%	(.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 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	51.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
	18.1%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	20.3%	(.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))) #s(literal 1 binary64)))
	71.5%	(.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 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
▶	41.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	69.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	10.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	21.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	71.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	69.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	41.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	69.4%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	25.3%	(.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	69.0%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))))
	66.2%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l)))))
▶	39.1%	(.f64 #s(approx (pow ( (/ d h) (/ d l)) 1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	40.3%	(.f64 #s(approx (pow ( (/ d h) (/ d l)) 1/2) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(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))))
	37.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	14.8%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) D) D)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	18.3%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1 binary64) (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64)))
▶	15.6%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	28.1%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	20.6%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 d d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)))
✓	10.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	12.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	12.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 l h)) (.f64 (.f64 (.f64 M M) D) D)) d) #s(literal -1/8 binary64))) (*.f64 l l)))
	8.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) (.f64 l l)))
	11.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 d (neg.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h)))))) (.f64 l l)))
▶	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	28.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
	28.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d))
✓	28.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))

Compiler

Compiled 2 511 to 2 316 computations (7.8% saved)

series275.0ms (2.9%)

Memory

14.8MiB live, 244.6MiB allocated; 26ms collecting garbage

Counts

52 → 160

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
60.0ms	d	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (* (* l l) l)))) (* -1/8 (* (* D D) (/ (* M M) d))) -1/8 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (pow (* (/ d h) (/ d l)) 1/2) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (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)) (/ 1 2) 2 (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) 1/4 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
59.0ms	d	@	0	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (* (* l l) l)))) (* -1/8 (* (* D D) (/ (* M M) d))) -1/8 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (pow (* (/ d h) (/ d l)) 1/2) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (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)) (/ 1 2) 2 (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) 1/4 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
34.0ms	l	@	0	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (* (* l l) l)))) (* -1/8 (* (* D D) (/ (* M M) d))) -1/8 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (pow (* (/ d h) (/ d l)) 1/2) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (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)) (/ 1 2) 2 (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) 1/4 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
32.0ms	l	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (* (* l l) l)))) (* -1/8 (* (* D D) (/ (* M M) d))) -1/8 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (pow (* (/ d h) (/ d l)) 1/2) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (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)) (/ 1 2) 2 (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) 1/4 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
14.0ms	d	@	inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (* (* l l) l)))) (* -1/8 (* (* D D) (/ (* M M) d))) -1/8 (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (pow (* (/ d h) (/ d l)) 1/2) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (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)) (/ 1 2) 2 (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) 1/4 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))

rewrite87.0ms (0.9%)

Memory

-5.2MiB live, 182.6MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	442	7043
0	509	5962
0	1579	5899

Stop Event

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

Counts

212 → 342

Calls

Call 1

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

eval62.0ms (0.7%)

Memory: -23.2MiB live, 61.1MiB allocated; 91ms collecting garbage
Compiler: Compiled 3 584 to 1 142 computations (68.1% saved)

prune38.0ms (0.4%)

Memory

-18.0MiB live, 75.0MiB allocated; 9ms collecting garbage

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	242	18	260
Fresh	13	20	33
Picked	3	2	5
Done	1	1	2
Total	259	41	300

Accuracy

92.3%

Counts

300 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	42.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
▶	71.5%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	51.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
	20.3%	(.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))) #s(literal 1 binary64)))
✓	41.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	10.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	71.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 (*.f64 D M) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
	45.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) h) l)))
	43.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
	18.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	41.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	69.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	69.5%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	25.3%	(.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	66.2%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l)))))
	69.0%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))))
	39.1%	(.f64 #s(approx (pow ( (/ d h) (/ d l)) 1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 (*.f64 D M) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
	10.3%	(.f64 #s(approx (pow ( (/ d h) (/ d l)) 1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	40.3%	(.f64 #s(approx (pow ( (/ d h) (/ d l)) 1/2) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(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))))
	41.9%	(.f64 #s(approx (pow ( (/ d h) (/ d l)) 1/2) #s(approx (* (sqrt (/ 1 (* l h))) d) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	14.8%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) D) D)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	18.3%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1 binary64) (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64)))
	14.3%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (/.f64 (sqrt.f64 h) (sqrt.f64 (.f64 (*.f64 l l) l)))))
	16.4%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l))))
▶	15.6%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	17.2%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 M (/.f64 M d)))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	16.6%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 M M) d)))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	28.1%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	20.6%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 d d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)))
	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D M) (.f64 D M)) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	12.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
▶	28.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 #s(literal 1 binary64) d) (sqrt.f64 (.f64 h l))))
▶	12.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 l h)) (.f64 (.f64 (.f64 M M) D) D)) d) #s(literal -1/8 binary64))) (*.f64 l l)))
	8.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) (.f64 l l)))
	11.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 d (neg.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h)))))) (.f64 l l)))
	22.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	28.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
	28.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d))
✓	28.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))

Compiler

Compiled 2 578 to 2 450 computations (5% saved)

series235.0ms (2.5%)

Memory

-8.2MiB live, 512.0MiB allocated; 61ms collecting garbage

Counts

63 → 179

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
30.0ms	d	@	inf	((* (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (pow (pow (/ d l) 1/4) 2) (pow (/ d l) 1/4) (/ d l) d l 1/4 2 (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* 1 d) (sqrt (* h l))) (* 1 d) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* (/ (* (sqrt (* l h)) (* (* (* M M) D) D)) d) -1/8) (/ (* (sqrt (* l h)) (* (* (* M M) D) D)) d) (* (sqrt (* l h)) (* (* (* M M) D) D)) (sqrt (* l h)) (* l h) (* (* (* M M) D) D) (* (* M M) D) (* M M) -1/8 (* l l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (pow l 3)))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (sqrt (/ (* d d) (* l h)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (sqrt (/ (* d d) (* l h))) (/ (* d d) (* l h)) (* d d))
26.0ms	d	@	-inf	((* (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (pow (pow (/ d l) 1/4) 2) (pow (/ d l) 1/4) (/ d l) d l 1/4 2 (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* 1 d) (sqrt (* h l))) (* 1 d) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* (/ (* (sqrt (* l h)) (* (* (* M M) D) D)) d) -1/8) (/ (* (sqrt (* l h)) (* (* (* M M) D) D)) d) (* (sqrt (* l h)) (* (* (* M M) D) D)) (sqrt (* l h)) (* l h) (* (* (* M M) D) D) (* (* M M) D) (* M M) -1/8 (* l l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (pow l 3)))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (sqrt (/ (* d d) (* l h)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (sqrt (/ (* d d) (* l h))) (/ (* d d) (* l h)) (* d d))
23.0ms	d	@	0	((* (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (pow (pow (/ d l) 1/4) 2) (pow (/ d l) 1/4) (/ d l) d l 1/4 2 (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* 1 d) (sqrt (* h l))) (* 1 d) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* (/ (* (sqrt (* l h)) (* (* (* M M) D) D)) d) -1/8) (/ (* (sqrt (* l h)) (* (* (* M M) D) D)) d) (* (sqrt (* l h)) (* (* (* M M) D) D)) (sqrt (* l h)) (* l h) (* (* (* M M) D) D) (* (* M M) D) (* M M) -1/8 (* l l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (pow l 3)))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (sqrt (/ (* d d) (* l h)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (sqrt (/ (* d d) (* l h))) (/ (* d d) (* l h)) (* d d))
18.0ms	l	@	-inf	((* (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (pow (pow (/ d l) 1/4) 2) (pow (/ d l) 1/4) (/ d l) d l 1/4 2 (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* 1 d) (sqrt (* h l))) (* 1 d) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* (/ (* (sqrt (* l h)) (* (* (* M M) D) D)) d) -1/8) (/ (* (sqrt (* l h)) (* (* (* M M) D) D)) d) (* (sqrt (* l h)) (* (* (* M M) D) D)) (sqrt (* l h)) (* l h) (* (* (* M M) D) D) (* (* M M) D) (* M M) -1/8 (* l l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (pow l 3)))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (sqrt (/ (* d d) (* l h)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (sqrt (/ (* d d) (* l h))) (/ (* d d) (* l h)) (* d d))
17.0ms	l	@	inf	((* (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (pow (pow (/ d l) 1/4) 2) (pow (/ d l) 1/4) (/ d l) d l 1/4 2 (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* 1 d) (sqrt (* h l))) (* 1 d) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* (/ (* (sqrt (* l h)) (* (* (* M M) D) D)) d) -1/8) (/ (* (sqrt (* l h)) (* (* (* M M) D) D)) d) (* (sqrt (* l h)) (* (* (* M M) D) D)) (sqrt (* l h)) (* l h) (* (* (* M M) D) D) (* (* M M) D) (* M M) -1/8 (* l l) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ h (pow l 3)))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (* D D) (/ (* M M) d) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (sqrt (/ (* d d) (* l h)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (sqrt (/ (* d d) (* l h))) (/ (* d d) (* l h)) (* d d))

rewrite95.0ms (1%)

Memory

-2.9MiB live, 146.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	558	8178
0	639	6969
0	2178	6862

Stop Event

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

Counts

242 → 412

Calls

Call 1

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

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

eval30.0ms (0.3%)

Memory: 29.8MiB live, 75.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 357 to 1 579 computations (63.8% saved)

prune85.0ms (0.9%)

Memory

12.0MiB live, 184.3MiB allocated; 37ms collecting garbage

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	273	19	292
Fresh	8	25	33
Picked	3	2	5
Done	1	2	3
Total	285	48	333

Accuracy

92.7%

Counts

333 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
	42.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 (.f64 D (/.f64 (.f64 D M) (+.f64 d d))) (+.f64 d d)))) (/.f64 h l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
✓	42.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
	56.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	37.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) #s(approx (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
	29.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M #s(approx (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) M)) (.f64 d d))))) (/.f64 h l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
	71.5%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 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)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
✓	71.5%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	51.7%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
	41.0%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) #s(literal 1 binary64)))
	20.3%	(.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))) #s(literal 1 binary64)))
	10.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	71.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 (*.f64 D M) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
	45.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) h) l)))
	43.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
	18.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	41.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	69.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	25.3%	(.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	65.8%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l)))))
	66.2%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l)))))
	69.0%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))))
	58.8%	(.f64 (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	39.1%	(.f64 #s(approx (pow ( (/ d h) (/ d l)) 1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 (*.f64 D M) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
	10.3%	(.f64 #s(approx (pow ( (/ d h) (/ d l)) 1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	40.3%	(.f64 #s(approx (pow ( (/ d h) (/ d l)) 1/2) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(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))))
	41.9%	(.f64 #s(approx (pow ( (/ d h) (/ d l)) 1/2) #s(approx (* (sqrt (/ 1 (* l h))) d) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	16.3%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (*.f64 M M) D) D)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	18.3%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1 binary64) (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64)))
	16.4%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l))))
	17.2%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 M (/.f64 M d)))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	16.6%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 M M) d)))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	28.1%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	20.6%	#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 d d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)))
	28.4%	#s(approx (* (* (pow (pow (/ d l) 1/4) 2) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	13.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 M M) D)) D) d) #s(literal -1/8 binary64))) l) l))
	22.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 #s(literal 1 binary64) d) (.f64 (sqrt.f64 l) (sqrt.f64 h))))
	14.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 l h)) (.f64 (.f64 M (.f64 D M)) D)) d) #s(literal -1/8 binary64))) (*.f64 l l)))
	11.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 l h)) (.f64 (.f64 M M) (.f64 D D))) d) #s(literal -1/8 binary64))) (*.f64 l l)))
	15.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 l h)) (.f64 (.f64 D M) (.f64 D M))) d) #s(literal -1/8 binary64))) (*.f64 l l)))
	6.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (.f64 l l)))
	8.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) (.f64 l l)))
	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 (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)))) (.f64 l l)))
	11.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 d (neg.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h)))))) (.f64 l l)))
✓	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	28.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
	28.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d))
✓	28.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))

Compiler

Compiled 2 923 to 1 981 computations (32.2% saved)

regimes197.0ms (2.1%)

Memory

8.8MiB live, 296.2MiB allocated; 44ms collecting garbage

Counts

94 → 4

Calls

Call 1

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

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

39.0ms	l
31.0ms	D
28.0ms	M
26.0ms	h
24.0ms	d

Results

Accuracy	Segments	Branch
71.7%	1	`(*.f64 M D)`
75.2%	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))))`
81.2%	4	`d`
79.4%	3	`h`
81.3%	4	`l`
71.7%	1	`M`
71.7%	1	`D`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes27.0ms (0.3%)

Memory

-7.9MiB live, 43.0MiB allocated; 6ms collecting garbage

Counts

78 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
79.7%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes23.0ms (0.2%)

Memory

-6.9MiB live, 39.2MiB allocated; 2ms collecting garbage

Counts

68 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
79.6%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes22.0ms (0.2%)

Memory

6.2MiB live, 49.2MiB allocated; 4ms collecting garbage

Counts

59 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
79.6%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes160.0ms (1.7%)

Memory

6.1MiB live, 233.4MiB allocated; 74ms collecting garbage

Counts

53 → 4

Calls

Call 1

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

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

Calls

7 calls:

42.0ms	h
27.0ms	l
22.0ms	M
21.0ms	(.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))))
18.0ms	D

Results

Accuracy	Segments	Branch
63.4%	2	`D`
63.4%	2	`(*.f64 M D)`
61.2%	2	`M`
69.4%	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))))`
67.2%	2	`h`
72.1%	4	`d`
73.3%	4	`l`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes41.0ms (0.4%)

Memory

-9.6MiB live, 41.4MiB allocated; 15ms collecting garbage

Counts

49 → 4

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	d
13.0ms	l

Results

Accuracy	Segments	Branch
71.5%	4	`d`
70.6%	4	`l`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes51.0ms (0.5%)

Memory

23.4MiB live, 72.4MiB allocated; 2ms collecting garbage

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

13.0ms	l
12.0ms	h
12.0ms	d
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))))

Results

Accuracy	Segments	Branch
58.9%	4	`h`
67.1%	5	`l`
65.4%	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))))`
68.3%	6	`d`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes74.0ms (0.8%)

Memory

12.8MiB live, 105.8MiB allocated; 3ms collecting garbage

Counts

46 → 6

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
55.0%	2	`M`
66.0%	6	`d`
61.8%	5	`l`
50.8%	3	`D`
53.0%	2	`(*.f64 M D)`
58.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 48 computations (-26.3% saved)

regimes15.0ms (0.2%)

Memory

-29.1MiB live, 19.8MiB allocated; 5ms collecting garbage

Counts

37 → 6

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
65.5%	6	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes26.0ms (0.3%)

Memory

7.5MiB live, 54.8MiB allocated; 5ms collecting garbage

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

14.0ms

(*.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))))

10.0ms

Results

Accuracy	Segments	Branch
57.6%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
59.0%	5	`d`

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes56.0ms (0.6%)

Memory

-6.3MiB live, 84.1MiB allocated; 10ms collecting garbage

Counts

35 → 5

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	d
13.0ms	l
9.0ms	M
9.0ms	h
8.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
59.0%	5	`d`
49.5%	2	`M`
50.1%	4	`h`
53.2%	5	`l`
51.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 42 computations (-20% saved)

regimes23.0ms (0.2%)

Memory

37.8MiB live, 37.8MiB allocated; 0ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

(*.f64 M D)

6.0ms

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

Results

Accuracy	Segments	Branch
51.5%	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))))`
48.3%	2	`(*.f64 M D)`
54.8%	5	`d`

Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes15.0ms (0.2%)

Memory

-39.7MiB live, 12.5MiB allocated; 10ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
50.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 31 to 22 computations (29% saved)

regimes7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
50.7%	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))))`

Compiler

Compiled 31 to 22 computations (29% saved)

regimes11.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms

4.0ms

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

Results

Accuracy	Segments	Branch
54.1%	5	`d`
49.9%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes38.0ms (0.4%)

Memory

12.1MiB live, 57.8MiB allocated; 5ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

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

Calls

7 calls:

9.0ms	M
5.0ms	d
5.0ms	D
5.0ms	h
5.0ms	l

Results

Accuracy	Segments	Branch
47.1%	3	`h`
44.4%	2	`(*.f64 M D)`
47.4%	3	`l`
43.1%	2	`D`
46.0%	2	`d`
44.4%	2	`M`
46.9%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes12.0ms (0.1%)

Memory

-32.2MiB live, 13.7MiB allocated; 4ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms

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

3.0ms

Results

Accuracy	Segments	Branch
46.0%	2	`d`
34.8%	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))))`

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
45.9%	2	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes8.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

2.0ms	d
2.0ms	l
2.0ms	h

Results

Accuracy	Segments	Branch
43.3%	2	`h`
44.5%	2	`l`
44.6%	2	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes20.0ms (0.2%)

Memory

-14.5MiB live, 31.6MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	M
2.0ms	D
2.0ms	l
2.0ms	h
2.0ms	d

Results

Accuracy	Segments	Branch
28.4%	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))))`
28.4%	1	`D`
28.4%	1	`h`
28.4%	1	`(*.f64 M D)`
28.4%	1	`M`
28.4%	1	`l`
28.4%	1	`d`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

bsearch184.0ms (1.9%)

Memory

6.5MiB live, 196.3MiB allocated; 84ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
46.0ms	2.586898013194621e-23	4.9041861362517304e-21
32.0ms	-6.08303305698879e-308	1.202725732048584e-308
86.0ms	-2.5548319498994855e+110	-3.644375383926482e+90

Samples

84.0ms	384×	0	valid
54.0ms	385×	0	invalid

Compiler

Compiled 1 518 to 1 380 computations (9.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-div!: 57.0ms (53% of total)

ival-pow: 23.0ms (21.4% of total)

ival-mult!: 17.0ms (15.8% of total)

ival-pow2: 8.0ms (7.4% of total)

ival-sub!: 2.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-6.08303305698879e-308	1.202725732048584e-308
2.0ms	-2.5548319498994855e+110	-3.644375383926482e+90

Compiler

Compiled 1 105 to 1 023 computations (7.4% saved)

bsearch4.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-6.08303305698879e-308	1.202725732048584e-308
2.0ms	-2.5548319498994855e+110	-3.644375383926482e+90

Compiler

Compiled 1 094 to 1 012 computations (7.5% saved)

bsearch45.0ms (0.5%)

Memory

-28.2MiB live, 26.6MiB allocated; 15ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-6.08303305698879e-308	1.202725732048584e-308
40.0ms	-1.6238775206404535e+226	-6.682998592114069e+225

Samples

30.0ms	80×	0	valid
5.0ms	48×	0	invalid

Compiler

Compiled 734 to 691 computations (5.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-pow: 4.0ms (34.8% of total)

ival-div!: 3.0ms (26.1% of total)

ival-mult!: 3.0ms (26.1% of total)

ival-pow2: 1.0ms (8.7% of total)

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

adjust: 0.0ms (0% of total)

bsearch77.0ms (0.8%)

Memory

6.2MiB live, 97.3MiB allocated; 8ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	-6.08303305698879e-308	1.202725732048584e-308
28.0ms	-1.1225122021970832e-65	-1.2495444531685372e-66
40.0ms	-5.243645597097121e+80	-3.882752235827455e+77

Samples

31.0ms	224×	0	valid
23.0ms	185×	0	invalid

Compiler

Compiled 1 260 to 1 232 computations (2.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-pow: 12.0ms (33.5% of total)

ival-div!: 9.0ms (25.2% of total)

ival-mult!: 9.0ms (25.2% of total)

ival-pow2: 4.0ms (11.2% of total)

ival-sub!: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

bsearch182.0ms (1.9%)

Memory

5.8MiB live, 145.6MiB allocated; 20ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
34.0ms	-1.0070270997733549e-299	-2.464666707537521e-304
93.0ms	-8.932168784975724e-109	-2.00131943438826e-113
39.0ms	-5.0541951979699496e+151	-7.937178242903027e+148

Samples

51.0ms	384×	0	valid
31.0ms	340×	0	invalid

Compiler

Compiled 1 630 to 1 558 computations (4.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div!: 18.0ms (30.5% of total)

ival-mult!: 16.0ms (27.1% of total)

ival-pow: 15.0ms (25.4% of total)

ival-pow2: 8.0ms (13.6% of total)

ival-sub!: 2.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.719185196071868e-131	-2.3925111372904028e-140

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch128.0ms (1.4%)

Memory

-3.1MiB live, 184.0MiB allocated; 23ms collecting garbage

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
51.0ms	4.832555693624032e+141	2.259193050404518e+152
58.0ms	6.55853689263493e-159	2.0618677522289856e-143
2.0ms	-1.0070270997733549e-299	-2.464666707537521e-304
2.0ms	-8.932168784975724e-109	-2.00131943438826e-113
1.0ms	-5.0541951979699496e+151	-7.937178242903027e+148

Samples

44.0ms	318×	0	valid
42.0ms	375×	0	invalid
1.0ms	2×	1	valid

Compiler

Compiled 2 912 to 2 832 computations (2.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div!: 22.0ms (34.5% of total)

ival-mult!: 19.0ms (29.8% of total)

ival-pow: 13.0ms (20.4% of total)

ival-pow2: 7.0ms (11% of total)

ival-sub!: 2.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

bsearch154.0ms (1.6%)

Memory

-23.8MiB live, 143.3MiB allocated; 108ms collecting garbage

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
41.0ms	3.0930434293464535e+138	4.832555693624032e+141
42.0ms	6.55853689263493e-159	2.0618677522289856e-143
2.0ms	-1.0070270997733549e-299	-2.464666707537521e-304
2.0ms	-8.932168784975724e-109	-2.00131943438826e-113
1.0ms	-5.0541951979699496e+151	-7.937178242903027e+148

Samples

33.0ms	272×	0	valid
27.0ms	296×	0	invalid

Compiler

Compiled 2 826 to 2 752 computations (2.6% saved)

Precisions

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

ival-mult!: 13.0ms (30.7% of total)

ival-pow: 11.0ms (26% of total)

ival-div!: 11.0ms (26% of total)

ival-pow2: 6.0ms (14.2% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.770416408864116e-142	-0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch182.0ms (1.9%)

Memory

-6.6MiB live, 133.7MiB 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
33.0ms	4.139818215599625e-136	4.100683711433703e-134
2.0ms	-1.0070270997733549e-299	-2.464666707537521e-304
93.0ms	-2.6439142328243938e-129	-4.848552439207099e-134
38.0ms	-1.3358064474169991e+75	-1.1466562537542853e+72

Samples

106.0ms	368×	0	valid
29.0ms	314×	0	invalid

Compiler

Compiled 1 989 to 1 997 computations (-0.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-div!: 74.0ms (65.6% of total)

ival-pow: 15.0ms (13.3% of total)

ival-mult!: 15.0ms (13.3% of total)

ival-pow2: 7.0ms (6.2% of total)

ival-sub!: 2.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.195197679201458e-305

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.195197679201458e-305

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.66660319425126e-73	-7.719185196071868e-131

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.195197679201458e-305

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.195197679201458e-305

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch30.0ms (0.3%)

Memory

42.7MiB live, 42.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	6.682171399248432e-219	7.099755316111175e-218

Samples

12.0ms	96×	0	valid
8.0ms	87×	0	invalid

Compiler

Compiled 398 to 390 computations (2% saved)

Precisions

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

ival-pow: 4.0ms (28.5% of total)

ival-div!: 4.0ms (28.5% of total)

ival-mult!: 4.0ms (28.5% of total)

ival-pow2: 2.0ms (14.2% of total)

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

adjust: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory

-48.9MiB live, 1.5MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.682171399248432e-219	7.099755316111175e-218

Compiler

Compiled 398 to 390 computations (2% saved)

bsearch27.0ms (0.3%)

Memory

44.0MiB live, 44.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-8.932168784975724e-109	-2.00131943438826e-113

Samples

10.0ms	80×	0	valid
7.0ms	79×	0	invalid

Compiler

Compiled 518 to 502 computations (3.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult!: 4.0ms (32.1% of total)

ival-pow: 3.0ms (24.1% of total)

ival-div!: 3.0ms (24.1% of total)

ival-pow2: 2.0ms (16.1% of total)

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

adjust: 0.0ms (0% of total)

derivations157.0ms (1.7%)

Memory

-2.0MiB live, 185.1MiB allocated; 21ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 560 to 298 computations (46.8% saved)

preprocess352.0ms (3.7%)

Memory

12.2MiB live, 621.2MiB allocated; 73ms collecting garbage

Remove

(sort M D)

(abs D)

(abs M)

Compiler

Compiled 12 757 to 9 462 computations (25.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze510.0ms (5.4%)

sample5.1s (53.9%)

preprocess41.0ms (0.4%)

series88.0ms (0.9%)

rewrite85.0ms (0.9%)

eval9.0ms (0.1%)

prune35.0ms (0.4%)

series145.0ms (1.5%)

rewrite89.0ms (0.9%)

eval46.0ms (0.5%)

prune53.0ms (0.6%)

series275.0ms (2.9%)

rewrite87.0ms (0.9%)

eval62.0ms (0.7%)

prune38.0ms (0.4%)

series235.0ms (2.5%)

rewrite95.0ms (1%)

eval30.0ms (0.3%)

prune85.0ms (0.9%)

regimes197.0ms (2.1%)

regimes27.0ms (0.3%)

regimes23.0ms (0.2%)

regimes22.0ms (0.2%)

regimes160.0ms (1.7%)

regimes41.0ms (0.4%)

regimes51.0ms (0.5%)

regimes74.0ms (0.8%)

regimes15.0ms (0.2%)

regimes26.0ms (0.3%)

regimes56.0ms (0.6%)

regimes23.0ms (0.2%)

regimes15.0ms (0.2%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes38.0ms (0.4%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes20.0ms (0.2%)

bsearch184.0ms (1.9%)

bsearch4.0ms (0%)

bsearch4.0ms (0%)

bsearch45.0ms (0.5%)

bsearch77.0ms (0.8%)

bsearch182.0ms (1.9%)

bsearch1.0ms (0%)

bsearch128.0ms (1.4%)

bsearch154.0ms (1.6%)

bsearch1.0ms (0%)

bsearch182.0ms (1.9%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch30.0ms (0.3%)

bsearch5.0ms (0.1%)

bsearch27.0ms (0.3%)

derivations157.0ms (1.7%)

preprocess352.0ms (3.7%)

end0.0ms (0%)

Profiling