Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze489.0ms (5.3%)

Memory

-0.3MiB live, 580.2MiB allocated; 116ms 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)

sample5.2s (56.4%)

Memory

30.4MiB live, 6 010.7MiB allocated; 2.2s collecting garbage

Samples

1.9s	13 453×	0	invalid
1.5s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-pow: 739.0ms (31.1% of total)

ival-mult!: 703.0ms (29.6% of total)

ival-div!: 552.0ms (23.2% of total)

ival-pow2: 319.0ms (13.4% of total)

ival-sub!: 58.0ms (2.4% of total)

adjust: 5.0ms (0.2% of total)

Bogosity

preprocess45.0ms (0.5%)

Memory

-5.4MiB live, 40.9MiB allocated; 9ms 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
▶	67.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

67.7%

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

Symmetry

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 62 to 44 computations (29% saved)

series100.0ms (1.1%)

Memory

3.1MiB live, 147.7MiB 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
23.0ms	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))
10.0ms	D	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
10.0ms	D	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
9.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
6.0ms	M	@	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))

rewrite58.0ms (0.6%)

Memory

29.7MiB live, 76.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

70 → 102

Calls

Call 1

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

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

eval11.0ms (0.1%)

Memory: -20.6MiB live, 25.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 374 to 498 computations (63.8% saved)

prune17.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	74	21	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	21	96

Accuracy

88.3%

Counts

96 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.3%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.5%	(.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))))
▶	70.2%	(.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 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	34.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 d d (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (.f64 d d))))
	17.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	38.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.6%	(.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))))
▶	41.7%	(.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))))
	67.7%	(.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))))
	65.4%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.5%	(.f64 (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)))))
	31.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	39.4%	(.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))))
▶	19.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.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)))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 (.f64 (.f64 h h) h) (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	20.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 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))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (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))
	12.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.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)))
	16.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	25.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
▶	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))

Compiler

Compiled 1 408 to 1 252 computations (11.1% saved)

series186.0ms (2%)

Memory

5.1MiB live, 148.0MiB allocated; 11ms collecting garbage

Counts

58 → 156

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
55.0ms	h	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) (* (* (* M M) (* D D)) (sqrt (* l h))) (* (* M M) (* D D)) (* M M) (* D D) (sqrt (* l h)) -1/8 (* (sqrt (/ (* (* l l) l) h)) d) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
21.0ms	M	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) (* (* (* M M) (* D D)) (sqrt (* l h))) (* (* M M) (* D D)) (* M M) (* D D) (sqrt (* l h)) -1/8 (* (sqrt (/ (* (* l l) l) h)) d) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
15.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) (* (* (* M M) (* D D)) (sqrt (* l h))) (* (* M M) (* D D)) (* M M) (* D D) (sqrt (* l h)) -1/8 (* (sqrt (/ (* (* l l) l) h)) d) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
12.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) (* (* (* M M) (* D D)) (sqrt (* l h))) (* (* M M) (* D D)) (* M M) (* D D) (sqrt (* l h)) -1/8 (* (sqrt (/ (* (* l l) l) h)) d) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
10.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (* l l)) (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) (* (* (* M M) (* D D)) (sqrt (* l h))) (* (* M M) (* D D)) (* M M) (* D D) (sqrt (* l h)) -1/8 (* (sqrt (/ (* (* l l) l) h)) d) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))

rewrite111.0ms (1.2%)

Memory

-8.3MiB live, 82.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

214 → 360

Calls

Call 1

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

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

eval42.0ms (0.5%)

Memory: -4.7MiB live, 43.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 4 266 to 1 608 computations (62.3% saved)

prune40.0ms (0.4%)

Memory

3.8MiB live, 51.2MiB allocated; 2ms collecting garbage

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	301	22	323
Fresh	11	5	16
Picked	4	1	5
Done	0	0	0
Total	316	28	344

Accuracy

90.5%

Counts

344 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.9%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.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)))
	43.4%	(.f64 (/.f64 (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d l))) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
▶	66.5%	(.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))))
	65.8%	(.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))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
▶	38.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) #s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	69.8%	(.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)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	34.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 d d (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (.f64 d d))))
	40.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	70.1%	(.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)))
▶	70.2%	(.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)))
	65.4%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	65.8%	(.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)))))
	35.3%	(.f64 #s(approx ( (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	42.2%	(.f64 #s(approx ( (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	25.5%	#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)))
	20.4%	#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 (.f64 (.f64 (.f64 M M) D) D) (/.f64 (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)))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 (.f64 (.f64 h h) h) (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	20.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) l) l))
▶	15.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (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)))
	11.4%	#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 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) (.f64 l l)))
	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 #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)))
	22.4%	#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 (/.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))
▶	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	12.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.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)))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d))
✓	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	25.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))

Compiler

Compiled 1 882 to 1 718 computations (8.7% saved)

series155.0ms (1.7%)

Memory

-28.3MiB live, 312.1MiB allocated; 53ms collecting garbage

Counts

52 → 173

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
22.0ms	D	@	0	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* 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)) (* (* (* M M) D) D) (* (* M M) D) (* M M) -1/8 (* l l) (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 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)))
19.0ms	h	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* 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)) (* (* (* M M) D) D) (* (* M M) D) (* M M) -1/8 (* l l) (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 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)))
18.0ms	d	@	0	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* 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)) (* (* (* M M) D) D) (* (* M M) D) (* M M) -1/8 (* l l) (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 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)))
11.0ms	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) (/ 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)) (* (* (* M M) D) D) (* (* M M) D) (* M M) -1/8 (* l l) (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 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)))
10.0ms	D	@	-inf	((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* 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)) (* (* (* M M) D) D) (* (* M M) D) (* M M) -1/8 (* l l) (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M) (/ h l) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 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)))

rewrite86.0ms (0.9%)

Memory

40.8MiB live, 132.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	511	8389
0	586	7041
0	1964	6930

Stop Event

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

Counts

225 → 371

Calls

Call 1

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

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

eval40.0ms (0.4%)

Memory: 0.8MiB live, 95.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 970 to 1 765 computations (64.5% saved)

prune75.0ms (0.8%)

Memory

-12.1MiB live, 81.6MiB allocated; 4ms collecting garbage

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	340	29	369
Fresh	14	8	22
Picked	3	2	5
Done	0	1	1
Total	357	40	397

Accuracy

91.3%

Counts

397 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.4%	(.f64 (/.f64 (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d l))) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	58.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	38.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)))
▶	66.5%	(.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 (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 d h))))
	64.2%	(.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)) (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))))
	64.2%	(.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 (exp.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d h))))
▶	59.2%	(.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))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
✓	38.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))) #s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	27.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M #s(approx (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) M)) (.f64 d d))))) (/.f64 h l))) #s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	50.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	40.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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)))
	65.4%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	52.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (*.f64 d d)) #s(literal 1/8 binary64))) h) l)))
	44.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d d)) #s(literal 1/8 binary64))) l)))
	42.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (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))))
	34.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (/.f64 (fma.f64 d d (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (.f64 d d))))
	17.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	38.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) #s(literal 1 binary64)))
	65.8%	(.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)))))
	62.9%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	35.3%	(.f64 #s(approx ( (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	42.2%	(.f64 #s(approx ( (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	22.4%	#s(approx (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.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))
	12.2%	#s(approx (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (.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)))
	25.2%	#s(approx (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
	16.1%	#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(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))
▶	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 #s(literal 1 binary64) d) (sqrt.f64 (.f64 h l))))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 l) (sqrt.f64 h)) (.f64 (.f64 (.f64 M M) D) D)) d) #s(literal -1/8 binary64))) (*.f64 l l)))
	19.8%	#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)))
	20.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #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)))
	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 (sqrt.f64 (.f64 h l)) d)) #s(literal -1/8 binary64))) (*.f64 l l)))
	9.6%	#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 (.f64 l l) l) h)) d)) (.f64 l l)))
	11.4%	#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 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) (.f64 l l)))
▶	7.6%	#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 d (neg.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h))))) (.f64 l l)))
	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 #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)))
	24.8%	#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))
✓	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d))
✓	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))

Compiler

Compiled 2 713 to 2 527 computations (6.9% saved)

series259.0ms (2.8%)

Memory

-10.2MiB live, 506.4MiB allocated; 67ms collecting garbage

Counts

54 → 173

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
54.0ms	d	@	0	((* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (* (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (sqrt (/ d 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) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d 1/2 (/ h l) h l (* (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (sqrt (/ d h))) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) (/ d l) 1/4 (sqrt (/ d h)) (/ d h) (* (* (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)) (* d (neg (sqrt (/ (* (* l l) l) h)))) (neg (sqrt (/ (* (* l l) l) h))) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (- 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)))) h) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* (/ (* (* (* M M) D) D) (* d d)) 1/8) (/ (* (* (* M M) D) D) (* d d)) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* d d) 1/8 (* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (sqrt (* (/ d l) (/ d h)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)))
51.0ms	d	@	-inf	((* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (* (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (sqrt (/ d 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) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d 1/2 (/ h l) h l (* (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (sqrt (/ d h))) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) (/ d l) 1/4 (sqrt (/ d h)) (/ d h) (* (* (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)) (* d (neg (sqrt (/ (* (* l l) l) h)))) (neg (sqrt (/ (* (* l l) l) h))) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (- 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)))) h) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* (/ (* (* (* M M) D) D) (* d d)) 1/8) (/ (* (* (* M M) D) D) (* d d)) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* d d) 1/8 (* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (sqrt (* (/ d l) (/ d h)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)))
29.0ms	l	@	-inf	((* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (* (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (sqrt (/ d 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) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d 1/2 (/ h l) h l (* (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (sqrt (/ d h))) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) (/ d l) 1/4 (sqrt (/ d h)) (/ d h) (* (* (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)) (* d (neg (sqrt (/ (* (* l l) l) h)))) (neg (sqrt (/ (* (* l l) l) h))) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (- 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)))) h) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* (/ (* (* (* M M) D) D) (* d d)) 1/8) (/ (* (* (* M M) D) D) (* d d)) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* d d) 1/8 (* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (sqrt (* (/ d l) (/ d h)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)))
20.0ms	l	@	0	((* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (* (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (sqrt (/ d 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) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d 1/2 (/ h l) h l (* (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (sqrt (/ d h))) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) (/ d l) 1/4 (sqrt (/ d h)) (/ d h) (* (* (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)) (* d (neg (sqrt (/ (* (* l l) l) h)))) (neg (sqrt (/ (* (* l l) l) h))) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (- 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)))) h) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* (/ (* (* (* M M) D) D) (* d d)) 1/8) (/ (* (* (* M M) D) D) (* d d)) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* d d) 1/8 (* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (sqrt (* (/ d l) (/ d h)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)))
19.0ms	h	@	-inf	((* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (* (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (sqrt (/ d 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) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) d 1/2 (/ h l) h l (* (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (sqrt (/ d h))) (* (pow (/ d l) 1/4) (pow (/ d l) 1/4)) (pow (/ d l) 1/4) (/ d l) 1/4 (sqrt (/ d h)) (/ d h) (* (* (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)) (* d (neg (sqrt (/ (* (* l l) l) h)))) (neg (sqrt (/ (* (* l l) l) h))) (sqrt (/ (* (* l l) l) h)) (/ (* (* l l) l) h) (* (* l l) l) (* l l) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (- 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)))) h) (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (* (/ (* (* (* M M) D) D) (* d d)) 1/8) (/ (* (* (* M M) D) D) (* d d)) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* d d) 1/8 (* (- 1 (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) (sqrt (* (/ d l) (/ d h)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)))

rewrite92.0ms (1%)

Memory

15.7MiB live, 161.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	536	8180
0	606	6764
0	2119	6657

Stop Event

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

Counts

227 → 370

Calls

Call 1

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

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

eval36.0ms (0.4%)

Memory: -2.2MiB live, 90.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 418 to 1 752 computations (67.7% saved)

prune67.0ms (0.7%)

Memory

22.1MiB live, 166.6MiB allocated; 10ms collecting garbage

Pruning

51 alts after pruning (48 fresh and 3 done)

	Pruned	Kept	Total
New	366	23	389
Fresh	7	25	32
Picked	4	1	5
Done	1	2	3
Total	378	51	429

Accuracy

91.3%

Counts

429 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.4%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)) M) #s(literal 1/2 binary64)) h) l)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	58.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)) M) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	38.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)))
	42.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M)) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
	64.2%	(.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)) (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))))
	64.2%	(.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 (exp.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d h))))
	43.7%	(.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))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l)))
	27.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M #s(approx (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 D D) M)) (.f64 d d))))) (/.f64 h l))) #s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	33.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 l h))))
	40.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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)))
	65.4%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 D M) (+.f64 d d)) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	65.8%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)) M) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	53.4%	(.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) D) (/.f64 D (*.f64 d d))) #s(literal 1/8 binary64))) h) l)))
	57.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (.f64 (/.f64 (.f64 (.f64 M (.f64 D M)) D) (*.f64 d d)) #s(literal 1/8 binary64))) h) l)))
	59.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 d d)) #s(literal 1/8 binary64))) h) l)))
	62.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D d)) #s(literal 1/8 binary64))) h) l)))
	45.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) (*.f64 d d))) #s(literal 1/8 binary64))) h) l)))
	44.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 d d)) #s(literal 1/8 binary64))) l)))
	50.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (*.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
	42.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (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))))
	17.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	38.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) #s(literal 1 binary64)))
	1.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ d h)) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (*.f64 d d)) #s(literal 1/8 binary64))) h) l)))
	65.8%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)) M) #s(literal 1/2 binary64)) (/.f64 h l)))))
	62.9%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	39.4%	(.f64 #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)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	16.3%	(.f64 #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))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	34.0%	(.f64 #s(approx (- 1 ( (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	35.3%	(.f64 #s(approx ( (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	42.2%	(.f64 #s(approx ( (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	22.4%	#s(approx (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.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))
	12.2%	#s(approx (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (.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)))
	25.2%	#s(approx (* (- 1 (* (* 1/2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2)))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
	16.1%	#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(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))
	10.4%	#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(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 l l) (/.f64 l h))))) l) l))
	24.8%	#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))))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 l) (sqrt.f64 h)) (.f64 (.f64 (.f64 M M) D) D)) d) #s(literal -1/8 binary64))) (*.f64 l l)))
	19.8%	#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)))
	20.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #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)))
	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 (sqrt.f64 (.f64 h l)) d)) #s(literal -1/8 binary64))) (*.f64 l l)))
	9.6%	#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 (.f64 l l) l) h)) d)) (.f64 l l)))
	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 #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))) (neg.f64 d))) (.f64 l l)))
	11.4%	#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 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) (.f64 l l)))
	1.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* M M) (* D D)) (sqrt (* l h))) d) -1/8) (* (sqrt (/ (* (* l l) l) h)) d)) (.f64 d (neg.f64 (/.f64 (sqrt.f64 (.f64 (.f64 l l) l)) (sqrt.f64 h))))) (.f64 l l)))
✓	7.6%	#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 d (neg.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h))))) (.f64 l l)))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
✓	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d))
✓	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	17.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (fma.f64 (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 d d))) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))))

Compiler

Compiled 3 297 to 2 168 computations (34.2% saved)

regimes235.0ms (2.6%)

Memory

0.2MiB live, 379.9MiB allocated; 35ms collecting garbage

Counts

96 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

7 calls:

50.0ms	l
42.0ms	h
34.0ms	M
27.0ms	d
26.0ms	D

Results

Accuracy	Segments	Branch
70.2%	1	`(*.f64 M D)`
74.8%	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))))`
78.1%	2	`d`
78.1%	2	`h`
78.1%	2	`l`
70.2%	1	`M`
70.2%	1	`D`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes72.0ms (0.8%)

Memory

-26.5MiB live, 164.7MiB allocated; 13ms collecting garbage

Counts

75 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

3 calls:

23.0ms	d
23.0ms	l
21.0ms	h

Results

Accuracy	Segments	Branch
76.0%	2	`d`
76.0%	2	`h`
76.0%	2	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes83.0ms (0.9%)

Memory

-7.5MiB live, 182.2MiB allocated; 17ms collecting garbage

Counts

65 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

21.0ms	l
20.0ms	(.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))))
19.0ms	h
17.0ms	d

Results

Accuracy	Segments	Branch
72.7%	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))))`
72.6%	2	`d`
72.6%	2	`h`
74.1%	3	`l`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes125.0ms (1.4%)

Memory

32.6MiB live, 277.3MiB allocated; 14ms collecting garbage

Counts

63 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

22.0ms	D
18.0ms	h
17.0ms	M
17.0ms	d
16.0ms	l

Results

Accuracy	Segments	Branch
69.9%	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))))`
69.4%	3	`(*.f64 M D)`
66.7%	3	`M`
66.7%	2	`D`
67.6%	2	`h`
67.6%	2	`d`
70.3%	3	`l`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes35.0ms (0.4%)

Memory

-16.3MiB live, 79.4MiB allocated; 5ms collecting garbage

Counts

59 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

17.0ms

15.0ms

(*.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
68.7%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
68.4%	2	`l`

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes19.0ms (0.2%)

Memory

-3.4MiB live, 42.9MiB allocated; 1ms collecting garbage

Counts

56 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
68.0%	2	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes103.0ms (1.1%)

Memory

27.9MiB live, 122.6MiB allocated; 3ms collecting garbage

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

41.0ms	(*.f64 M D)
30.0ms	h
14.0ms	l
14.0ms	d

Results

Accuracy	Segments	Branch
68.0%	4	`d`
62.1%	1	`h`
69.0%	3	`(*.f64 M D)`
66.9%	3	`l`

Compiler

Compiled 6 to 21 computations (-250% saved)

regimes79.0ms (0.9%)

Memory

-0.6MiB live, 183.6MiB allocated; 13ms collecting garbage

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

14.0ms	l
14.0ms	(*.f64 M D)
13.0ms	d
13.0ms	D
12.0ms	M

Results

Accuracy	Segments	Branch
63.4%	3	`d`
60.8%	2	`M`
61.3%	2	`l`
62.2%	2	`D`
65.4%	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))))`
63.1%	2	`(*.f64 M D)`

Compiler

Compiled 38 to 48 computations (-26.3% saved)

regimes135.0ms (1.5%)

Memory

-27.6MiB live, 212.1MiB allocated; 113ms collecting garbage

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

27.0ms	l
15.0ms	d
10.0ms	(*.f64 M D)
10.0ms	D
10.0ms	M

Results

Accuracy	Segments	Branch
56.4%	2	`M`
54.5%	3	`l`
63.2%	6	`d`
56.2%	2	`D`
57.2%	2	`(*.f64 M D)`
52.7%	2	`h`
59.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes68.0ms (0.7%)

Memory

19.0MiB live, 149.9MiB allocated; 28ms collecting garbage

Counts

34 → 4

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	(*.f64 M D)
18.0ms	d
11.0ms	D
9.0ms	M
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
50.8%	3	`D`
53.5%	2	`M`
59.6%	6	`d`
53.2%	3	`(*.f64 M D)`
58.7%	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 37 to 43 computations (-16.2% saved)

regimes10.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Counts

33 → 4

Calls

Call 1

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

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

Calls

1 calls:

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
58.7%	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 31 to 22 computations (29% saved)

regimes24.0ms (0.3%)

Memory

-38.0MiB live, 19.3MiB allocated; 16ms collecting garbage

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

22.0ms

(*.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
56.2%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 31 to 22 computations (29% saved)

regimes38.0ms (0.4%)

Memory

27.9MiB live, 77.0MiB allocated; 1ms collecting garbage

Counts

21 → 3

Calls

Call 1

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

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

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

Calls

6 calls:

7.0ms	l
6.0ms	h
6.0ms	M
6.0ms	d
6.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
48.5%	2	`(*.f64 M D)`
47.9%	3	`h`
49.7%	4	`l`
46.3%	2	`d`
48.2%	2	`M`
52.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 48 computations (-26.3% saved)

regimes42.0ms (0.5%)

Memory

-6.8MiB live, 87.3MiB allocated; 2ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
46.3%	2	`d`
45.9%	2	`h`
45.6%	2	`l`
41.2%	2	`M`
41.3%	2	`(*.f64 M D)`
38.7%	1	`D`
44.1%	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)

regimes4.0ms (0%)

Memory

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

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
46.2%	2	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes13.0ms (0.1%)

Memory

-22.3MiB live, 27.9MiB allocated; 2ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	h
3.0ms	l
3.0ms	d
2.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
29.8%	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))))`
42.7%	2	`l`
42.9%	2	`h`
42.6%	2	`d`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes17.0ms (0.2%)

Memory

-8.7MiB live, 38.1MiB allocated; 2ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Calls

7 calls:

3.0ms	D
2.0ms	l
2.0ms	h
2.0ms	d
2.0ms	M

Results

Accuracy	Segments	Branch
24.7%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
24.7%	1	`D`
24.7%	1	`M`
24.7%	1	`(*.f64 M D)`
24.7%	1	`d`
24.7%	1	`l`
24.7%	1	`h`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes14.0ms (0.2%)

Memory

34.4MiB live, 34.4MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
24.7%	1	`(*.f64 M D)`
24.7%	1	`D`
24.7%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
24.7%	1	`M`
24.7%	1	`l`
24.7%	1	`d`
24.7%	1	`h`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes9.0ms (0.1%)

Memory

-23.7MiB live, 23.5MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	l
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	M
1.0ms	D
1.0ms	h

Results

Accuracy	Segments	Branch
24.0%	1	`(*.f64 M D)`
24.0%	1	`D`
24.0%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
24.0%	1	`M`
24.0%	1	`l`
24.0%	1	`d`
24.0%	1	`h`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

bsearch69.0ms (0.7%)

Memory

-9.4MiB live, 133.8MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
59.0ms	-3.9750309511615084e-306	6.369665314429461e-271

Samples

25.0ms	192×	0	valid
21.0ms	180×	0	invalid

Compiler

Compiled 758 to 690 computations (9% saved)

Precisions

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

ival-pow: 11.0ms (34.1% of total)

ival-div!: 8.0ms (24.8% of total)

ival-mult!: 8.0ms (24.8% of total)

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

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

adjust: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-3.9750309511615084e-306	6.369665314429461e-271

Compiler

Compiled 890 to 810 computations (9% saved)

bsearch151.0ms (1.6%)

Memory

40.0MiB live, 208.5MiB allocated; 79ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
98.0ms	5.321701955003287e-246	3.63408429324649e-242
43.0ms	-2.0923030309856568e-243	-7.1340290242132196e-245

Samples

76.0ms	240×	0	valid
45.0ms	259×	0	invalid

Compiler

Compiled 892 to 825 computations (7.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-div!: 54.0ms (61.1% of total)

ival-pow: 15.0ms (17% of total)

ival-mult!: 11.0ms (12.4% of total)

ival-pow2: 7.0ms (7.9% of total)

ival-sub!: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

bsearch104.0ms (1.1%)

Memory

-16.5MiB live, 132.3MiB allocated; 57ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.321701955003287e-246	3.63408429324649e-242
96.0ms	-4.618694694188993e-140	-4.2570461313418716e-148

Samples

48.0ms	144×	0	valid
29.0ms	163×	0	invalid

Compiler

Compiled 981 to 939 computations (4.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-pow: 38.0ms (56.8% of total)

ival-mult!: 18.0ms (26.9% of total)

ival-div!: 7.0ms (10.5% of total)

ival-pow2: 3.0ms (4.5% of total)

ival-sub!: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

bsearch48.0ms (0.5%)

Memory

-14.0MiB live, 34.5MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	3.865954981974764e-258	9.069034858708253e-256

Samples

14.0ms	112×	0	valid
10.0ms	85×	0	invalid

Compiler

Compiled 493 to 471 computations (4.5% saved)

Precisions

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

ival-pow: 6.0ms (35.1% of total)

ival-div!: 4.0ms (23.4% of total)

ival-mult!: 4.0ms (23.4% of total)

ival-pow2: 2.0ms (11.7% of total)

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

adjust: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.865954981974764e-258	9.069034858708253e-256

Compiler

Compiled 465 to 450 computations (3.2% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0876760640383552e+109	1.0995019763524428e+109
0.0ms	3.669834833115591e-114	5.300669105532789e-113

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.317184718947081e-210	3.840969532091292e-209
0.0ms	-4.200652596858734e-55	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.317184718947081e-210	3.840969532091292e-209
0.0ms	-169377639424.0061	-1.047054584131899e-31

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	8.317184718947081e-210	3.840969532091292e-209
0.0ms	-5.104941537295001e-41	-4.200652596858734e-55
0.0ms	-1.3580747136285253e+177	-1.0794892044789542e+157

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	8.317184718947081e-210	3.840969532091292e-209
0.0ms	-5.104941537295001e-41	-4.200652596858734e-55
0.0ms	-inf	-1.029925234713004e+292

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.317184718947081e-210	3.840969532091292e-209
0.0ms	-5.104941537295001e-41	-4.200652596858734e-55

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.317184718947081e-210	3.840969532091292e-209
0.0ms	-inf	-1.029925234713004e+292

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch25.0ms (0.3%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.0999077736176924e-272	6.892714995070043e-272

Samples

10.0ms	80×	0	valid
6.0ms	70×	0	invalid

Compiler

Compiled 368 to 350 computations (4.9% saved)

Precisions

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

ival-pow: 3.0ms (25.9% of total)

ival-div!: 3.0ms (25.9% of total)

ival-mult!: 3.0ms (25.9% of total)

ival-pow2: 2.0ms (17.3% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0999077736176924e-272	6.892714995070043e-272

Compiler

Compiled 368 to 350 computations (4.9% saved)

bsearch61.0ms (0.7%)

Memory

4.2MiB live, 50.2MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	4.7113202939527196e-271	2.426946702727591e-263

Samples

32.0ms	144×	0	valid
15.0ms	129×	0	invalid

Compiler

Compiled 605 to 579 computations (4.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-pow2: 17.0ms (45.3% of total)

ival-pow: 9.0ms (24% of total)

ival-div!: 6.0ms (16% of total)

ival-mult!: 6.0ms (16% of total)

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

adjust: 0.0ms (0% of total)

derivations152.0ms (1.7%)

Memory

-12.2MiB live, 177.8MiB allocated; 12ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 483 to 260 computations (46.2% saved)

preprocess332.0ms (3.6%)

Memory

-10.7MiB live, 649.2MiB allocated; 86ms collecting garbage

Remove

(sort M D)

(abs D)

(abs M)

Compiler

Compiled 11 382 to 8 754 computations (23.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze489.0ms (5.3%)

sample5.2s (56.4%)

preprocess45.0ms (0.5%)

series100.0ms (1.1%)

rewrite58.0ms (0.6%)

eval11.0ms (0.1%)

prune17.0ms (0.2%)

series186.0ms (2%)

rewrite111.0ms (1.2%)

eval42.0ms (0.5%)

prune40.0ms (0.4%)

series155.0ms (1.7%)

rewrite86.0ms (0.9%)

eval40.0ms (0.4%)

prune75.0ms (0.8%)

series259.0ms (2.8%)

rewrite92.0ms (1%)

eval36.0ms (0.4%)

prune67.0ms (0.7%)

regimes235.0ms (2.6%)

regimes72.0ms (0.8%)

regimes83.0ms (0.9%)

regimes125.0ms (1.4%)

regimes35.0ms (0.4%)

regimes19.0ms (0.2%)

regimes103.0ms (1.1%)

regimes79.0ms (0.9%)

regimes135.0ms (1.5%)

regimes68.0ms (0.7%)

regimes10.0ms (0.1%)

regimes24.0ms (0.3%)

regimes38.0ms (0.4%)

regimes42.0ms (0.5%)

regimes4.0ms (0%)

regimes13.0ms (0.1%)

regimes17.0ms (0.2%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch69.0ms (0.7%)

bsearch3.0ms (0%)

bsearch151.0ms (1.6%)

bsearch104.0ms (1.1%)

bsearch48.0ms (0.5%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch25.0ms (0.3%)

bsearch1.0ms (0%)

bsearch61.0ms (0.7%)

derivations152.0ms (1.7%)

preprocess332.0ms (3.6%)

end0.0ms (0%)

Profiling