Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze494.0ms (4.7%)

Memory

-25.3MiB live, 613.2MiB allocated; 202ms 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)

sample5.6s (53.9%)

Memory

59.9MiB live, 7 924.1MiB allocated; 2.7s collecting garbage

Samples

2.8s	13 012×	0	invalid
1.5s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-pow: 811.0ms (30.7% of total)

ival-div!: 746.0ms (28.2% of total)

ival-mult!: 728.0ms (27.5% of total)

ival-pow2: 299.0ms (11.3% of total)

ival-sub!: 55.0ms (2.1% of total)

adjust: 5.0ms (0.2% of total)

Bogosity

preprocess45.0ms (0.4%)

Memory

18.1MiB live, 63.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	589
1	635	561
2	3473	550

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.7%	(.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

▶

30.7%

(*.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 d)

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 62 to 44 computations (29% saved)

series112.0ms (1.1%)

Memory

-28.3MiB live, 111.9MiB allocated; 15ms collecting garbage

Counts

22 → 49

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) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (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) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) l)) (* (pow d 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (pow d 2))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (sqrt (/ d h)) (sqrt (/ d 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 (* (pow d 2) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* 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)))) #s(hole binary64 (* (pow d 2) (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l))))))) (* (pow d 2) l))) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (pow d 2) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* d (sqrt (/ 1 (* d h))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* d (sqrt (/ 1 (* d l))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d h)))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* 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)))) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (/ d 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)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* d h)) (sqrt (/ d l)))))) (* (pow d 2) l))) (* (sqrt (* d h)) (sqrt (/ d l)))) h)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h)))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (/ (sqrt (* d h)) 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) (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) h)))))
#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 (* h (+ (* -1 (/ (* (sqrt (/ d h)) (sqrt (/ d l))) h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ 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) (* h (* (sqrt (* d l)) (sqrt (/ d h)))))) (* (pow d 2) (pow l 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) (* h (* (sqrt (* d l)) (sqrt (/ d h)))))) (pow d 2))) (* l (* (sqrt (* d l)) (sqrt (/ d h))))) (pow l 2))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt (* d l)) (sqrt (/ d h))) l)))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (/ (sqrt (* d l)) l)))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (sqrt (/ d h)) (sqrt (/ 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)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l))) (* (sqrt (/ d h)) (sqrt (/ d l))))))
#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) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow M 2))))))
#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) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow D 2))))))
#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
37.0ms	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))
11.0ms	D	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
7.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
7.0ms	l	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
7.0ms	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))

rewrite201.0ms (1.9%)

Memory

23.8MiB live, 212.5MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	1689
0	243	1550
1	950	1491
0	7286	1450

Stop Event

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

Counts

71 → 240

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

eval22.0ms (0.2%)

Memory: -2.9MiB live, 43.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 009 to 1 121 computations (62.7% saved)

prune26.0ms (0.2%)

Memory

2.5MiB live, 49.0MiB allocated; 2ms collecting garbage

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	194	30	224
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	195	30	225

Accuracy

89.9%

Counts

225 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.9%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
	30.1%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
	31.5%	(.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))))
	37.1%	(.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	24.3%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	24.3%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	29.4%	(.f64 (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d h)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	26.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
	26.7%	(.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)) (/.f64 (.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (.f64 D M)) (.f64 d (+.f64 d d)))) (/.f64 h l))))
	10.7%	(.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 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	14.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (fma.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 D D)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) M) M)))
	18.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	0.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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))))
	31.5%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	0.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l 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))))
	29.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	0.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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))))
	34.8%	(.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))))
▶	29.5%	(.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))))
	0.4%	(.f64 (.f64 #s(approx (pow (/ d h) (/ 1 2)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 h d))) d)) (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))))
	38.6%	(.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h 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))))
▶	46.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (.f64 l d)))) d) 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))))
	23.7%	#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 h d) (/.f64 d l))) h))
▶	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
	19.4%	#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 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) (.f64 M M)) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)) h))
	29.6%	#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 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (.f64 l d)))) h) M) M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (.f64 l d))))) (*.f64 d d)))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) h) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) (.f64 M M))) M) M))
	12.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
	7.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 (.f64 (.f64 d d) l) h))) h) (/.f64 (.f64 D D) (.f64 (.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
	19.1%	#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (*.f64 l d)))) d) d))

Compiler

Compiled 1 916 to 1 676 computations (12.5% saved)

series149.0ms (1.4%)

Memory

10.3MiB live, 252.2MiB allocated; 18ms collecting garbage

Counts

55 → 190

Calls

Call 1

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

15 calls:

Time	Variable		Point	Expression
22.0ms	M	@	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))) (* (* (sqrt (/ 1 (* (* h d) (* l d)))) d) d) (* (sqrt (/ 1 (* (* h d) (* l d)))) d) (sqrt (/ 1 (* (* h d) (* l d)))) (/ 1 (* (* h d) (* l d))) 1 (* (* h d) (* l d)) (* h d) h d (* l d) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* (+ d d) (+ d d)) (+ d d) -1/2 (sqrt (/ d l)) (/ d l) (sqrt (/ d h)) (/ d h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l))) (sqrt (neg d)) (neg d) (sqrt (neg l)) (neg l))
12.0ms	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))) (* (* (sqrt (/ 1 (* (* h d) (* l d)))) d) d) (* (sqrt (/ 1 (* (* h d) (* l d)))) d) (sqrt (/ 1 (* (* h d) (* l d)))) (/ 1 (* (* h d) (* l d))) 1 (* (* h d) (* l d)) (* h d) h d (* l d) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* (+ d d) (+ d d)) (+ d d) -1/2 (sqrt (/ d l)) (/ d l) (sqrt (/ d h)) (/ d h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l))) (sqrt (neg d)) (neg d) (sqrt (neg l)) (neg l))
11.0ms	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))) (* (* (sqrt (/ 1 (* (* h d) (* l d)))) d) d) (* (sqrt (/ 1 (* (* h d) (* l d)))) d) (sqrt (/ 1 (* (* h d) (* l d)))) (/ 1 (* (* h d) (* l d))) 1 (* (* h d) (* l d)) (* h d) h d (* l d) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* (+ d d) (+ d d)) (+ d d) -1/2 (sqrt (/ d l)) (/ d l) (sqrt (/ d h)) (/ d h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l))) (sqrt (neg d)) (neg d) (sqrt (neg l)) (neg l))
10.0ms	l	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* (sqrt (/ 1 (* (* h d) (* l d)))) d) d) (* (sqrt (/ 1 (* (* h d) (* l d)))) d) (sqrt (/ 1 (* (* h d) (* l d)))) (/ 1 (* (* h d) (* l d))) 1 (* (* h d) (* l d)) (* h d) h d (* l d) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* (+ d d) (+ d d)) (+ d d) -1/2 (sqrt (/ d l)) (/ d l) (sqrt (/ d h)) (/ d h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l))) (sqrt (neg d)) (neg d) (sqrt (neg l)) (neg 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))) (* (* (sqrt (/ 1 (* (* h d) (* l d)))) d) d) (* (sqrt (/ 1 (* (* h d) (* l d)))) d) (sqrt (/ 1 (* (* h d) (* l d)))) (/ 1 (* (* h d) (* l d))) 1 (* (* h d) (* l d)) (* h d) h d (* l d) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* (+ d d) (+ d d)) (+ d d) -1/2 (sqrt (/ d l)) (/ d l) (sqrt (/ d h)) (/ d h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l))) (sqrt (neg d)) (neg d) (sqrt (neg l)) (neg l))

rewrite175.0ms (1.7%)

Memory

-8.2MiB live, 268.8MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	650	7511
0	731	6697
1	2553	6427
0	8421	6367

Stop Event

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

Counts

245 → 675

Calls

Call 1

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

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

eval127.0ms (1.2%)

Memory: -14.2MiB live, 144.5MiB allocated; 111ms collecting garbage
Compiler: Compiled 10 816 to 3 031 computations (72% saved)

prune56.0ms (0.5%)

Memory

15.1MiB live, 108.4MiB allocated; 5ms collecting garbage

Pruning

55 alts after pruning (54 fresh and 1 done)

	Pruned	Kept	Total
New	736	46	782
Fresh	17	8	25
Picked	4	1	5
Done	0	0	0
Total	757	55	812

Accuracy

93.0%

Counts

812 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.1%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
▶	67.0%	(.f64 (/.f64 (.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.1%	(.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	32.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 d d) h) l))) d) d)))
	27.1%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (+.f64 d d)) (/.f64 #s(literal -1/2 binary64) (+.f64 d d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	0.0%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
	0.3%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #s(approx (sqrt (/ d h)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d))))))
	25.5%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	24.9%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	24.3%	(.f64 (.f64 (fma.f64 #s(approx (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (*.f64 d d)) #s(literal -1/8 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	0.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	25.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	27.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (*.f64 M M) D) (+.f64 d d)) (/.f64 D (+.f64 d d)))) (/.f64 h l))))
▶	29.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
	29.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	24.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	10.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	21.8%	(.f64 (.f64 #s(approx (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (fma.f64 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	25.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d))) (sqrt.f64 (.f64 l d))) d) 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))))
	37.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 d d) h) l))) d) 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))))
	41.9%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (.f64 l d)))) d) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	36.8%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (.f64 l d)))) d) d)) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)) (.f64 D D) #s(literal 1 binary64))))
	25.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (.f64 l d)))) d) d)) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	1.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 #s(approx ( (sqrt (/ 1 (* (* h d) (* l d)))) d) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	10.4%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) (sqrt.f64 (/.f64 d l))) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 d l)) (.f64 M M))) (.f64 M M))) (sqrt.f64 (/.f64 d h)))
	15.2%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 M M)) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 d l)) h)) h)) (sqrt.f64 (/.f64 d h)))
	13.4%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) h) (.f64 M M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 d l)) (.f64 D D))) (.f64 D D))) (sqrt.f64 (/.f64 d h)))
	10.3%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (sqrt.f64 (/.f64 d l)) h)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 d h)))
	6.9%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 l d)) h) (.f64 M M)) (.f64 D D)) (.f64 (.f64 l l) (.f64 d d))) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 d h)))
▶	13.2%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
	5.1%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d))))) (sqrt.f64 (/.f64 d h)))
	17.1%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	22.0%	#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 d (sqrt.f64 l)) (sqrt.f64 h)))
	22.1%	#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 d (sqrt.f64 h)) (sqrt.f64 l)))
	23.7%	#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 h d) (/.f64 d l))) h))
✓	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (.f64 (sqrt.f64 l) #s(approx (sqrt h) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) h))))))
	21.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (.f64 (exp.f64 (.f64 (log.f64 l) #s(literal 1/2 binary64))) (sqrt.f64 h))))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (.f64 #s(approx (sqrt l) (.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))) (sqrt.f64 h))))
▶	39.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (* (sqrt l) (sqrt h)) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
	23.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (* (sqrt l) (sqrt h)) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) h) l)) h))))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (* (sqrt l) (sqrt h)) (.f64 (neg.f64 l) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) h))))))
	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 d #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) h) l)) h)))))
	29.6%	#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 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (.f64 l d)))) h) M) M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (.f64 l d))))) (*.f64 d d)))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) h) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) (.f64 M M))) M) M))
	12.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
	7.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 (.f64 (.f64 d d) l) h))) h) (/.f64 (.f64 D D) (.f64 (.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
	19.1%	#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (*.f64 l d)))) d) d))
	18.0%	#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))) h)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)))
	6.9%	#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (sqrt.f64 (.f64 (/.f64 d h) (.f64 l d))) h)) (.f64 (.f64 l l) (*.f64 d d))) #s(literal -1/8 binary64)))
	20.0%	#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
	3.5%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l)))
	18.3%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (sqrt.f64 (.f64 h d)) h) (sqrt.f64 (/.f64 d l))))
	17.3%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l))))

Compiler

Compiled 3 593 to 3 375 computations (6.1% saved)

series121.0ms (1.2%)

Memory

-25.4MiB live, 215.9MiB allocated; 19ms collecting garbage

Counts

54 → 183

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
11.0ms	d	@	0	((* (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (* (sqrt d) (sqrt d)) (sqrt d) d (sqrt (* l h)) (* l h) l h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (* (sqrt (/ 1 (* l d))) d) (sqrt (/ 1 (* l d))) (/ 1 (* l d)) (* l d) (sqrt (/ d h)) (/ d h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (+ (* (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) h) 1) (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* (* d d) l) (* d d) -1/8 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)) (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) (/ D (+ d d)) (+ d d))
10.0ms	d	@	-inf	((* (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (* (sqrt d) (sqrt d)) (sqrt d) d (sqrt (* l h)) (* l h) l h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (* (sqrt (/ 1 (* l d))) d) (sqrt (/ 1 (* l d))) (/ 1 (* l d)) (* l d) (sqrt (/ d h)) (/ d h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (+ (* (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) h) 1) (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* (* d d) l) (* d d) -1/8 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)) (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) (/ D (+ d d)) (+ d d))
9.0ms	D	@	-inf	((* (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (* (sqrt d) (sqrt d)) (sqrt d) d (sqrt (* l h)) (* l h) l h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (* (sqrt (/ 1 (* l d))) d) (sqrt (/ 1 (* l d))) (/ 1 (* l d)) (* l d) (sqrt (/ d h)) (/ d h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (+ (* (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) h) 1) (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* (* d d) l) (* d d) -1/8 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)) (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) (/ D (+ d d)) (+ d d))
9.0ms	d	@	inf	((* (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (* (sqrt d) (sqrt d)) (sqrt d) d (sqrt (* l h)) (* l h) l h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (* (sqrt (/ 1 (* l d))) d) (sqrt (/ 1 (* l d))) (/ 1 (* l d)) (* l d) (sqrt (/ d h)) (/ d h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (+ (* (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) h) 1) (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* (* d d) l) (* d d) -1/8 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)) (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) (/ D (+ d d)) (+ d d))
8.0ms	l	@	-inf	((* (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (* (sqrt d) (sqrt d)) (sqrt d) d (sqrt (* l h)) (* l h) l h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (* (sqrt (/ 1 (* l d))) d) (sqrt (/ 1 (* l d))) (/ 1 (* l d)) (* l d) (sqrt (/ d h)) (/ d h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (+ (* (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) h) 1) (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* (* d d) l) (* d d) -1/8 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)) (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) (/ D (+ d d)) (+ d d))

rewrite162.0ms (1.5%)

Memory

16.4MiB live, 204.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	582	8014
0	660	7015
1	2304	6631
0	8213	6531

Stop Event

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

Counts

237 → 653

Calls

Call 1

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

eval53.0ms (0.5%)

Memory: -3.5MiB live, 86.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 6 790 to 2 409 computations (64.5% saved)

prune59.0ms (0.6%)

Memory

22.4MiB live, 68.9MiB allocated; 4ms collecting garbage

Pruning

67 alts after pruning (64 fresh and 3 done)

	Pruned	Kept	Total
New	494	37	531
Fresh	22	27	49
Picked	3	2	5
Done	0	1	1
Total	519	67	586

Accuracy

94.1%

Counts

586 → 67

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(.f64 (/.f64 (.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D (+.f64 d d)) M)) (.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
	48.7%	(.f64 (/.f64 (.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (.f64 l h))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)) (.f64 D D) #s(literal 1 binary64))))
▶	67.1%	(.f64 (/.f64 #s(approx ( (sqrt d) (sqrt d)) d) (sqrt.f64 (.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))))
	62.6%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 D M)) D)) (.f64 (.f64 d d) l)) h #s(literal 1 binary64))))
	27.9%	(.f64 (/.f64 d (sqrt.f64 h)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 (.f64 D (.f64 D M)) (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 l)))
▶	24.9%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	24.3%	(.f64 (.f64 (fma.f64 #s(approx (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (*.f64 d d)) #s(literal -1/8 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	0.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	0.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	0.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	29.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	29.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
	26.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 d (.f64 l d))) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	26.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	25.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 D M)) (*.f64 d d)) (/.f64 D l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	30.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 D M)) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	27.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 M (.f64 D M)) (/.f64 D (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	26.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (+ (* (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) h) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M (.f64 D M)) D) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))))
	12.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (+ (* (* (/ (* (* (* M M) D) D) (* (* d d) l)) -1/8) h) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M (.f64 D M)) D) h) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
	0.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ d h)) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d))) d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	21.8%	(.f64 (.f64 #s(approx (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (fma.f64 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	24.4%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 (.f64 D (.f64 D M)) (.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))))
	26.0%	(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M (.f64 D M)) D)) (.f64 (.f64 d d) l)) h #s(literal 1 binary64)))))
▶	13.2%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l d))) d)))
	37.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 d d) h) l))) d) 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))))
	41.9%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (.f64 l d)))) d) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	1.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 #s(approx ( (sqrt (/ 1 (* (* h d) (* l d)))) d) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	15.2%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 d l))) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 d l)) h)) h)) (sqrt.f64 (/.f64 d h)))
	13.2%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (pow.f64 (.f64 l d) #s(literal -1/2 binary64)) d)) (sqrt.f64 (/.f64 d h)))
	0.0%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d))) d)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
✓	13.2%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
	12.4%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d))) d)) #s(approx (sqrt (/ d h)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
	7.4%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d))) d)) #s(approx (sqrt (/ d h)) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d))) d))))
	7.9%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 l d)) (/.f64 #s(literal 1 binary64) (.f64 l d))))) d)) (sqrt.f64 (/.f64 d h)))
	12.6%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l d)) #s(literal -1 binary64)))) d)) (sqrt.f64 (/.f64 d h)))
	5.1%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d))))) (sqrt.f64 (/.f64 d h)))
	15.0%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 #s(approx (sqrt (/ 1 ( l d))) (/.f64 (sqrt.f64 (/.f64 l d)) l)) d)) (sqrt.f64 (/.f64 d h)))
	17.1%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	28.8%	(.f64 #s(approx ( (sqrt (/ d l)) (sqrt (/ d h))) (/.f64 d (.f64 (sqrt.f64 (/.f64 h 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))))
	22.0%	#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 d (sqrt.f64 l)) (sqrt.f64 h)))
▶	22.1%	#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 d (sqrt.f64 h)) (sqrt.f64 l)))
	23.7%	#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 h d) (/.f64 d l))) h))
✓	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (.f64 (sqrt.f64 l) #s(approx (sqrt h) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) h))))))
	21.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (.f64 (exp.f64 (.f64 (log.f64 l) #s(literal 1/2 binary64))) (sqrt.f64 h))))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (.f64 #s(approx (sqrt l) (.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))) (sqrt.f64 h))))
✓	39.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	37.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (exp.f64 (.f64 (log.f64 (.f64 h l)) #s(literal 1/2 binary64)))))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (* (sqrt l) (sqrt h)) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (* (sqrt l) (sqrt h)) (.f64 (neg.f64 l) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) h))))))
	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 d #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) h) l)) h)))))
	23.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (sqrt (* l h)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (sqrt (* l h)) (*.f64 (sqrt.f64 (/.f64 h 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 d #s(approx (sqrt (* l h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 l h)) h)))))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (sqrt (* l h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) h) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) (.f64 M M))) M) M))
▶	12.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
	19.1%	#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (*.f64 l d)))) d) d))
	23.3%	#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) d) (sqrt.f64 (.f64 h l))) (*.f64 d d)))
	18.0%	#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))) h)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)))
	20.0%	#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
	16.1%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M (.f64 D M)) D) (.f64 h d)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) l) (.f64 d d))) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (/.f64 h l)))) l))
	13.7%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M (.f64 D M)) D) d)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (.f64 d d))))
	3.5%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l)))
	21.7%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 (.f64 (.f64 M (.f64 D M)) D) (.f64 h d)) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (.f64 h l)))) #s(literal -1/8 binary64)))
	18.3%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (sqrt.f64 (.f64 h d)) h) (sqrt.f64 (/.f64 d l))))
	17.3%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l))))

Compiler

Compiled 4 313 to 4 122 computations (4.4% saved)

series204.0ms (1.9%)

Memory

-0.2MiB live, 146.4MiB allocated; 19ms collecting garbage

Counts

60 → 224

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	d	@	inf	((* (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (* (sqrt d) (sqrt d)) d (sqrt (* l h)) (* l h) l h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (/ d (sqrt h)) (sqrt l)) (/ d (sqrt h)) (sqrt h) (sqrt l) (* (sqrt (/ d h)) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l)))) (sqrt (/ d h)) (/ d h) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (* (/ 1 (sqrt (* l d))) d) (/ 1 (sqrt (* l d))) (sqrt (* l d)) (* l d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* (/ d (* (sqrt l) (sqrt h))) h) M) (* (/ d (* (sqrt l) (sqrt h))) h) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (* (* d d) l) (* d d) -1/8 (* (* (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (* (* (* M M) D) (/ D (* 4 (* d d)))) (* (* M M) D) (* M M) (/ D (* 4 (* d d))) (* 4 (* d d)) 4 -1/2 (sqrt (/ d l)) (/ d l))
25.0ms	h	@	-inf	((* (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (* (sqrt d) (sqrt d)) d (sqrt (* l h)) (* l h) l h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (/ d (sqrt h)) (sqrt l)) (/ d (sqrt h)) (sqrt h) (sqrt l) (* (sqrt (/ d h)) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l)))) (sqrt (/ d h)) (/ d h) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (* (/ 1 (sqrt (* l d))) d) (/ 1 (sqrt (* l d))) (sqrt (* l d)) (* l d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* (/ d (* (sqrt l) (sqrt h))) h) M) (* (/ d (* (sqrt l) (sqrt h))) h) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (* (* d d) l) (* d d) -1/8 (* (* (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (* (* (* M M) D) (/ D (* 4 (* d d)))) (* (* M M) D) (* M M) (/ D (* 4 (* d d))) (* 4 (* d d)) 4 -1/2 (sqrt (/ d l)) (/ d l))
23.0ms	M	@	-inf	((* (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (* (sqrt d) (sqrt d)) d (sqrt (* l h)) (* l h) l h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (/ d (sqrt h)) (sqrt l)) (/ d (sqrt h)) (sqrt h) (sqrt l) (* (sqrt (/ d h)) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l)))) (sqrt (/ d h)) (/ d h) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (* (/ 1 (sqrt (* l d))) d) (/ 1 (sqrt (* l d))) (sqrt (* l d)) (* l d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* (/ d (* (sqrt l) (sqrt h))) h) M) (* (/ d (* (sqrt l) (sqrt h))) h) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (* (* d d) l) (* d d) -1/8 (* (* (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (* (* (* M M) D) (/ D (* 4 (* d d)))) (* (* M M) D) (* M M) (/ D (* 4 (* d d))) (* 4 (* d d)) 4 -1/2 (sqrt (/ d l)) (/ d l))
14.0ms	d	@	-inf	((* (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (* (sqrt d) (sqrt d)) d (sqrt (* l h)) (* l h) l h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (/ d (sqrt h)) (sqrt l)) (/ d (sqrt h)) (sqrt h) (sqrt l) (* (sqrt (/ d h)) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l)))) (sqrt (/ d h)) (/ d h) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (* (/ 1 (sqrt (* l d))) d) (/ 1 (sqrt (* l d))) (sqrt (* l d)) (* l d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* (/ d (* (sqrt l) (sqrt h))) h) M) (* (/ d (* (sqrt l) (sqrt h))) h) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (* (* d d) l) (* d d) -1/8 (* (* (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (* (* (* M M) D) (/ D (* 4 (* d d)))) (* (* M M) D) (* M M) (/ D (* 4 (* d d))) (* 4 (* d d)) 4 -1/2 (sqrt (/ d l)) (/ d l))
13.0ms	d	@	0	((* (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt d) (sqrt d)) (sqrt (* l h))) (* (sqrt d) (sqrt d)) d (sqrt (* l h)) (* l h) l h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (/ d (sqrt h)) (sqrt l)) (/ d (sqrt h)) (sqrt h) (sqrt l) (* (sqrt (/ d h)) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l)))) (sqrt (/ d h)) (/ d h) (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (* (/ 1 (sqrt (* l d))) d) (/ 1 (sqrt (* l d))) (sqrt (* l d)) (* l d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* (/ d (* (sqrt l) (sqrt h))) h) M) (* (/ d (* (sqrt l) (sqrt h))) h) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (* (* d d) l) (* d d) -1/8 (* (* (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (/ h l)) 1) (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (* (* (* M M) D) (/ D (* 4 (* d d)))) (* (* M M) D) (* M M) (/ D (* 4 (* d d))) (* 4 (* d d)) 4 -1/2 (sqrt (/ d l)) (/ d l))

rewrite235.0ms (2.2%)

Memory

-13.7MiB live, 166.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	712	8906
0	794	8064
1	2737	7571
0	9255	7505

Stop Event

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

Counts

284 → 631

Calls

Call 1

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

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

eval84.0ms (0.8%)

Memory: 34.2MiB live, 131.5MiB allocated; 17ms collecting garbage
Compiler: Compiled 8 169 to 3 000 computations (63.3% saved)

prune144.0ms (1.4%)

Memory

-1.7MiB live, 185.7MiB allocated; 17ms collecting garbage

Pruning

64 alts after pruning (60 fresh and 4 done)

	Pruned	Kept	Total
New	530	29	559
Fresh	28	31	59
Picked	4	1	5
Done	0	3	3
Total	562	64	626

Accuracy

97.0%

Counts

626 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.0%	(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l d))) d)))
	66.4%	(.f64 (/.f64 #s(approx ( (sqrt d) (sqrt d)) d) (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
	33.4%	(.f64 (/.f64 #s(approx ( (sqrt d) (sqrt d)) d) #s(approx (sqrt (* l h)) (.f64 (sqrt.f64 (/.f64 l h)) h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	25.5%	(.f64 (.f64 (fma.f64 #s(approx (* (* (* (* M M) D) (/ D (* 4 (* d d)))) -1/2) (.f64 (/.f64 (.f64 (.f64 M (.f64 D M)) D) (*.f64 d d)) #s(literal -1/8 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	0.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	0.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	0.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	29.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	29.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
	26.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	25.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 D M)) (*.f64 d d)) (/.f64 D l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	27.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (.f64 (.f64 M (.f64 D M)) (/.f64 D (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	0.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ d h)) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d))) d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	21.8%	(.f64 (.f64 #s(approx (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (fma.f64 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	12.6%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 l d))) #s(literal -1 binary64))) d)))
	4.6%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 #s(approx (/ 1 (sqrt ( l d))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 l d)) d))) d)))
	17.1%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))))
	13.2%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) #s(approx (* (/ 1 (sqrt (* l d))) d) (/.f64 d (sqrt.f64 (*.f64 l d))))))
	16.8%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) #s(approx (* (/ 1 (sqrt (* l d))) d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))))
	4.6%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) #s(approx (* (/ 1 (sqrt (* l d))) d) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d))))))
	2.2%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) #s(approx (* (/ 1 (sqrt (* l d))) d) (neg.f64 (/.f64 d (*.f64 (sqrt.f64 (/.f64 d l)) l))))))
	37.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 (.f64 d d) h) l))) d) 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))))
	1.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 #s(approx ( (sqrt (/ 1 (* (* h d) (* l d)))) d) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
✓	13.2%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
	12.4%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d))) d)) #s(approx (sqrt (/ d h)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
	5.1%	(.f64 #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d))))) (sqrt.f64 (/.f64 d h)))
	6.6%	(.f64 #s(approx (sqrt (/ d h)) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d))) d))) #s(approx ( (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l d))) d)))
	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 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M (.f64 D M)) D) (.f64 h d)) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) l) (.f64 d d))) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (/.f64 h l)))) l))
	22.0%	#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 d (sqrt.f64 l)) (sqrt.f64 h)))
✓	22.1%	#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 d (sqrt.f64 h)) (sqrt.f64 l)))
	2.1%	#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 d (sqrt.f64 h)) #s(approx (sqrt l) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) l)))))
	23.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 d d)) (sqrt.f64 (*.f64 h l))))
	23.7%	#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 d l) (.f64 h d))) h))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (/.f64 h l)) l)))
✓	23.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (.f64 (sqrt.f64 l) #s(approx (sqrt h) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) h))))))
	21.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (.f64 (exp.f64 (.f64 (log.f64 l) #s(literal 1/2 binary64))) (sqrt.f64 h))))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (.f64 #s(approx (sqrt l) (.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))) (sqrt.f64 h))))
✓	39.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	37.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (exp.f64 (.f64 (log.f64 (.f64 h l)) #s(literal 1/2 binary64)))))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (* (sqrt l) (sqrt h)) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (* (sqrt l) (sqrt h)) (.f64 (neg.f64 l) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) h))))))
	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 d #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) h) l)) h)))))
	23.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (sqrt (* l h)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
	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 d #s(approx (sqrt (* l h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 l h)) h)))))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (sqrt (* l h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) h) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) (.f64 M M))) M) M))
	26.4%	#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 (.f64 (/.f64 (.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (.f64 h M)) M) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
	20.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 h d) M) M) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)) D) D))
	12.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 #s(approx ( (/ d (* (sqrt l) (sqrt h))) h) (/.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) h) l)))) M) M) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
	32.8%	#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 (.f64 #s(approx (/ ( (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 l d) (sqrt.f64 (*.f64 h l))))) #s(literal -1/8 binary64)) D) D))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(approx (/ ( (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (.f64 M M) (.f64 (.f64 l d) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D))
	19.1%	#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h d) (*.f64 l d)))) d) d))
	9.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx ( (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) D)) (.f64 (.f64 d (.f64 l l)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) h))))) D))
	18.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx ( (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 D M))) (.f64 (.f64 l d) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) h) l))))) D))
	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)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	30.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	16.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))))
	36.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (.f64 (/.f64 (.f64 (.f64 (.f64 M (.f64 D M)) D) h) (.f64 (.f64 l d) (sqrt.f64 (.f64 h l)))) #s(literal -1/8 binary64))))
	18.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (.f64 (/.f64 (.f64 (.f64 M (.f64 D M)) D) (.f64 (.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64))))
	18.0%	#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))) h)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)))
	3.5%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l)))
	18.3%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (sqrt.f64 (.f64 h d)) h) (sqrt.f64 (/.f64 d l))))
	17.3%	#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l))))

Compiler

Compiled 4 436 to 2 915 computations (34.3% saved)

regimes321.0ms (3.1%)

Memory

20.2MiB live, 701.5MiB allocated; 131ms collecting garbage

Counts

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

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

Outputs

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

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

Calls

7 calls:

58.0ms	M
49.0ms	h
41.0ms	l
41.0ms	d
40.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
71.2%	3	`(*.f64 M D)`
71.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
70.9%	3	`d`
74.5%	3	`h`
72.6%	2	`l`
69.3%	2	`M`
67.1%	1	`D`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes93.0ms (0.9%)

Memory

14.0MiB live, 194.0MiB allocated; 46ms collecting garbage

Counts

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

Outputs

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

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

Calls

2 calls:

45.0ms	h
40.0ms	l

Results

Accuracy	Segments	Branch
72.6%	2	`l`
72.6%	2	`h`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes150.0ms (1.4%)

Memory

-2.0MiB live, 233.1MiB allocated; 102ms collecting garbage

Counts

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

Outputs

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

(*.f64 (/.f64 #s(approx (* (sqrt d) (sqrt d)) d) (sqrt.f64 (*.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))))

Calls

3 calls:

76.0ms

31.0ms

26.0ms

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

Results

Accuracy	Segments	Branch
72.1%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
68.8%	2	`h`
70.5%	2	`l`

Compiler

Compiled 33 to 32 computations (3% saved)

regimes65.0ms (0.6%)

Memory

17.8MiB live, 151.9MiB allocated; 17ms collecting garbage

Counts

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

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

Calls

2 calls:

34.0ms

24.0ms

(*.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
70.1%	2	`l`
71.7%	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))))`

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes144.0ms (1.4%)

Memory

34.1MiB live, 314.2MiB allocated; 40ms collecting garbage

Counts

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

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

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

Calls

5 calls:

32.0ms	d
28.0ms	(*.f64 M D)
26.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
26.0ms	l
26.0ms	M

Results

Accuracy	Segments	Branch
67.5%	3	`M`
68.5%	3	`d`
69.3%	3	`(*.f64 M D)`
68.3%	3	`l`
70.4%	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))))`

Compiler

Compiled 37 to 43 computations (-16.2% saved)

regimes193.0ms (1.8%)

Memory

-45.0MiB live, 306.5MiB allocated; 146ms collecting garbage

Counts

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

Outputs

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

Calls

7 calls:

74.0ms	D
24.0ms	M
19.0ms	l
19.0ms	d
19.0ms	h

Results

Accuracy	Segments	Branch
62.3%	2	`M`
58.3%	3	`l`
55.8%	2	`d`
61.4%	2	`(*.f64 M D)`
53.0%	2	`D`
49.3%	4	`h`
57.8%	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))))`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes18.0ms (0.2%)

Memory

-1.6MiB live, 44.1MiB allocated; 4ms collecting garbage

Counts

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

Outputs

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
62.0%	2	`M`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes87.0ms (0.8%)

Memory

6.3MiB live, 190.8MiB allocated; 23ms collecting garbage

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

20.0ms	d
15.0ms	D
14.0ms	l
14.0ms	(*.f64 M D)
11.0ms	M

Results

Accuracy	Segments	Branch
39.8%	1	`D`
39.8%	1	`d`
48.5%	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))))`
49.5%	4	`l`
42.7%	2	`(*.f64 M D)`
43.0%	2	`M`

Compiler

Compiled 38 to 48 computations (-26.3% saved)

regimes12.0ms (0.1%)

Memory

35.2MiB live, 35.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
48.2%	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)

regimes13.0ms (0.1%)

Memory

-13.1MiB live, 32.7MiB allocated; 4ms collecting garbage

Counts

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

Calls

3 calls:

3.0ms

(*.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
45.8%	3	`h`
46.0%	3	`l`
43.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 33 to 32 computations (3% saved)

regimes9.0ms (0.1%)

Memory

-28.0MiB live, 17.8MiB allocated; 3ms 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 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 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d #s(approx (sqrt (* l h)) (*.f64 (sqrt.f64 (/.f64 h 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 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 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))

Calls

2 calls:

6.0ms	h
3.0ms	l

Results

Accuracy	Segments	Branch
44.2%	2	`h`
44.2%	2	`l`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes6.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

6 calls:

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

Results

Accuracy	Segments	Branch
39.8%	1	`d`
39.8%	1	`(*.f64 M D)`
39.8%	1	`M`
39.8%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
39.8%	1	`h`
39.8%	1	`l`

Compiler

Compiled 38 to 48 computations (-26.3% saved)

bsearch36.0ms (0.3%)

Memory

-21.9MiB live, 77.8MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	predicate-failed

Steps

Time	Left	Right
13.0ms	-1.3573738054572878e-298	5.669283410198581e-306
16.0ms	-1.0416776761299993e+241	-3.8216977772057226e+239

Samples

24.0ms

202×

invalid

Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions

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

ival-pow: 5.0ms (29.5% of total)

ival-mult!: 5.0ms (29.5% of total)

ival-div!: 4.0ms (23.6% of total)

ival-pow2: 2.0ms (11.8% of total)

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

adjust: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory

-2.3MiB live, 44.0MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
13.0ms	-1.3573738054572878e-298	5.669283410198581e-306

Samples

11.0ms

101×

invalid

Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div!: 2.0ms (28% of total)

ival-mult!: 2.0ms (28% of total)

ival-pow: 1.0ms (14% of total)

ival-pow2: 1.0ms (14% of total)

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

adjust: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3875383408035213e+222	+inf
0.0ms	-2.4059330641063517e-169	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3875383408035213e+222	+inf
0.0ms	-2.4059330641063517e-169	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3875383408035213e+222	+inf
0.0ms	-2.4059330641063517e-169	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch50.0ms (0.5%)

Memory

1.8MiB live, 114.0MiB allocated; 12ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	5.042130611401428e-112	2.2178891936363647e-109

Samples

17.0ms	128×	0	valid
13.0ms	125×	0	invalid

Compiler

Compiled 670 to 646 computations (3.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-pow: 6.0ms (28.1% of total)

ival-div!: 6.0ms (28.1% of total)

ival-mult!: 6.0ms (28.1% of total)

ival-pow2: 3.0ms (14.1% of total)

ival-sub!: 1.0ms (4.7% of total)

adjust: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Memory

19.9MiB live, 112.5MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	3.769604826771725e-100	1.758299145677858e-98

Samples

15.0ms	112×	0	valid
13.0ms	134×	0	invalid

Compiler

Compiled 563 to 541 computations (3.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div!: 6.0ms (30% of total)

ival-mult!: 6.0ms (30% of total)

ival-pow: 5.0ms (25% of total)

ival-pow2: 3.0ms (15% of total)

ival-sub!: 1.0ms (5% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

-44.0MiB live, 2.5MiB allocated; 2ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3875383408035213e+222	+inf
0.0ms	-2.4059330641063517e-169	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3875383408035213e+222	+inf
0.0ms	-2.4059330641063517e-169	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch45.0ms (0.4%)

Memory

21.7MiB live, 118.9MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	predicate-failed

Steps

Time	Left	Right
26.0ms	-3.990432853532119e-307	1.8268146714718202e-299
13.0ms	-1.171976118391132e-189	-8.458802801720369e-191

Samples

28.0ms	239×	0	invalid
4.0ms	32×	0	valid

Compiler

Compiled 160 to 148 computations (7.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div!: 7.0ms (30.9% of total)

ival-mult!: 6.0ms (26.5% of total)

ival-pow: 5.0ms (22.1% of total)

ival-pow2: 3.0ms (13.3% of total)

ival-sub!: 1.0ms (4.4% of total)

adjust: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory

-4.6MiB live, 41.8MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
15.0ms	-3.990432853532119e-307	1.8268146714718202e-299

Samples

12.0ms

101×

invalid

Compiler

Compiled 152 to 140 computations (7.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div!: 2.0ms (27.8% of total)

ival-mult!: 2.0ms (27.8% of total)

ival-pow: 1.0ms (13.9% of total)

ival-pow2: 1.0ms (13.9% of total)

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

adjust: 0.0ms (0% of total)

derivations648.0ms (6.2%)

Memory

31.8MiB live, 1 004.8MiB allocated; 230ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 317 to 193 computations (39.1% saved)

preprocess382.0ms (3.7%)

Memory

34.2MiB live, 563.7MiB allocated; 119ms collecting garbage

Remove

(sort M D)

(abs D)

(abs M)

Compiler

Compiled 9 812 to 7 663 computations (21.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze494.0ms (4.7%)

sample5.6s (53.9%)

preprocess45.0ms (0.4%)

series112.0ms (1.1%)

rewrite201.0ms (1.9%)

eval22.0ms (0.2%)

prune26.0ms (0.2%)

series149.0ms (1.4%)

rewrite175.0ms (1.7%)

eval127.0ms (1.2%)

prune56.0ms (0.5%)

series121.0ms (1.2%)

rewrite162.0ms (1.5%)

eval53.0ms (0.5%)

prune59.0ms (0.6%)

series204.0ms (1.9%)

rewrite235.0ms (2.2%)

eval84.0ms (0.8%)

prune144.0ms (1.4%)

regimes321.0ms (3.1%)

regimes93.0ms (0.9%)

regimes150.0ms (1.4%)

regimes65.0ms (0.6%)

regimes144.0ms (1.4%)

regimes193.0ms (1.8%)

regimes18.0ms (0.2%)

regimes87.0ms (0.8%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch36.0ms (0.3%)

bsearch18.0ms (0.2%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch50.0ms (0.5%)

bsearch43.0ms (0.4%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch45.0ms (0.4%)

bsearch18.0ms (0.2%)

derivations648.0ms (6.2%)

preprocess382.0ms (3.7%)

end0.0ms (0%)

Profiling