Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze384.0ms (4.8%)

Memory

-13.9MiB live, 459.9MiB allocated; 60ms 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)

sample4.6s (57.3%)

Memory

104.9MiB live, 6 204.7MiB allocated; 1.1s collecting garbage

Samples

1.8s	13 064×	0	invalid
1.5s	8 256×	0	valid

Precisions

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

ival-mult!: 719.0ms (29.8% of total)

ival-pow: 676.0ms (28% of total)

ival-div!: 621.0ms (25.7% of total)

ival-pow2: 309.0ms (12.8% of total)

ival-sub!: 84.0ms (3.5% of total)

adjust: 4.0ms (0.2% of total)

Bogosity

preprocess50.0ms (0.6%)

Memory

-5.8MiB live, 38.2MiB allocated; 13ms 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
▶	37.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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

▶

37.5%

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

series107.0ms (1.3%)

Memory

13.2MiB live, 101.8MiB allocated; 16ms collecting garbage

Counts

22 → 45

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
29.0ms	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))
13.0ms	h	@	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))
9.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
7.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
6.0ms	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))

rewrite123.0ms (1.5%)

Memory

-10.8MiB live, 42.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	1573
0	251	1438
0	980	1423

Stop Event

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

Counts

67 → 99

Calls

Call 1

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

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

eval8.0ms (0.1%)

Memory: 15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 306 to 490 computations (62.5% saved)

prune28.0ms (0.3%)

Memory

-12.7MiB live, 32.9MiB allocated; 5ms collecting garbage

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	61	25	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	25	87

Accuracy

89.7%

Counts

87 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	37.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	26.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	24.9%	(.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 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
	12.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #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))))
	18.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	38.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.2%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.3%	(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.7%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))))
	2.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	68.8%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	2.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1 binary64) (.f64 M M)) d))) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (sqrt.f64 (.f64 l h))) d) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 l l) l) h)) d)) (*.f64 l l)))
	10.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 (.f64 (.f64 h h) h) (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	27.1%	#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 #s(literal -1/8 binary64) (.f64 (.f64 M M) (.f64 D D))) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	22.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (/.f64 d (.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (.f64 (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64))) (*.f64 M M)))
▶	34.6%	#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 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (.f64 (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64))) (*.f64 D D)))
▶	12.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))) d (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 l l) l) h))))) h))
	3.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1 binary64) (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64)))
	30.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
▶	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))))

Compiler

Compiled 1 744 to 1 558 computations (10.7% saved)

series229.0ms (2.9%)

Memory

4.5MiB live, 290.2MiB allocated; 46ms collecting garbage

Counts

62 → 113

Calls

Call 1

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

Calls

15 calls:

Time	Variable		Point	Expression
51.0ms	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))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 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)))) (neg (* (* -1 d) (sqrt (/ 1 (* l h))))) (* (* -1 d) (sqrt (/ 1 (* l h)))) (* -1 d) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (* D D)) (+ (* (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (/ d (* D D)) (* D D) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8) (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) h) (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (sqrt (/ 1 (* (* (* h h) h) l))) (/ 1 (* (* (* h h) h) l)) (* (* (* h h) h) l) (* (* h h) h) (* h h) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h)))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (sqrt (/ 1 (* (* (* l l) l) h))) (/ 1 (* (* (* l l) l) h)) (* (* (* l l) l) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ d h) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l))
34.0ms	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 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 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)))) (neg (* (* -1 d) (sqrt (/ 1 (* l h))))) (* (* -1 d) (sqrt (/ 1 (* l h)))) (* -1 d) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (* D D)) (+ (* (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (/ d (* D D)) (* D D) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8) (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) h) (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (sqrt (/ 1 (* (* (* h h) h) l))) (/ 1 (* (* (* h h) h) l)) (* (* (* h h) h) l) (* (* h h) h) (* h h) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h)))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (sqrt (/ 1 (* (* (* l l) l) h))) (/ 1 (* (* (* l l) l) h)) (* (* (* l l) l) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ d h) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l))
22.0ms	h	@	-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 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 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)))) (neg (* (* -1 d) (sqrt (/ 1 (* l h))))) (* (* -1 d) (sqrt (/ 1 (* l h)))) (* -1 d) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (* D D)) (+ (* (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (/ d (* D D)) (* D D) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8) (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) h) (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (sqrt (/ 1 (* (* (* h h) h) l))) (/ 1 (* (* (* h h) h) l)) (* (* (* h h) h) l) (* (* h h) h) (* h h) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h)))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (sqrt (/ 1 (* (* (* l l) l) h))) (/ 1 (* (* (* l l) l) h)) (* (* (* l l) l) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ d h) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l))
18.0ms	M	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 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)))) (neg (* (* -1 d) (sqrt (/ 1 (* l h))))) (* (* -1 d) (sqrt (/ 1 (* l h)))) (* -1 d) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (* D D)) (+ (* (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (/ d (* D D)) (* D D) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8) (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) h) (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (sqrt (/ 1 (* (* (* h h) h) l))) (/ 1 (* (* (* h h) h) l)) (* (* (* h h) h) l) (* (* h h) h) (* h h) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h)))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (sqrt (/ 1 (* (* (* l l) l) h))) (/ 1 (* (* (* l l) l) h)) (* (* (* l l) l) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ d h) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt 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 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 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)))) (neg (* (* -1 d) (sqrt (/ 1 (* l h))))) (* (* -1 d) (sqrt (/ 1 (* l h)))) (* -1 d) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (* D D)) (+ (* (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (/ d (* D D)) (* D D) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8) (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) (/ (* M M) d) (* M M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) h) (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (sqrt (/ 1 (* (* (* h h) h) l))) (/ 1 (* (* (* h h) h) l)) (* (* (* h h) h) l) (* (* h h) h) (* h h) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h)))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (sqrt (/ 1 (* (* (* l l) l) h))) (/ 1 (* (* (* l l) l) h)) (* (* (* l l) l) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ d h) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l))

rewrite133.0ms (1.7%)

Memory

-1.5MiB live, 99.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	478	4828
0	566	4277
0	2089	4241

Stop Event

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

Counts

175 → 334

Calls

Call 1

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

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

eval43.0ms (0.5%)

Memory: 12.0MiB live, 56.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 021 to 1 922 computations (68.1% saved)

prune55.0ms (0.7%)

Memory

4.7MiB live, 105.2MiB allocated; 12ms collecting garbage

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	364	27	391
Fresh	8	12	20
Picked	5	0	5
Done	0	0	0
Total	377	39	416

Accuracy

90.5%

Counts

416 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	38.0%	(.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))))
	36.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	68.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	26.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	24.9%	(.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 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
	12.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #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))))
	39.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	26.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
	19.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	37.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	40.3%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.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))))
	37.3%	(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.7%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))))
	69.0%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.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))))
▶	71.2%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	26.2%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) #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))))
	2.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	10.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 (.f64 (.f64 h h) h) (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	27.1%	#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 #s(literal -1/8 binary64) (.f64 (.f64 M M) (.f64 D D))) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	22.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (/.f64 d (.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (.f64 (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64))) (*.f64 M M)))
	35.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (.f64 (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l))) #s(literal -1/8 binary64))) (.f64 D D)))
	12.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))) d (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 l l) (.f64 l h)))))) h))
	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))) d (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 M (/.f64 M d))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 l l) l) h))))) h))
	18.1%	#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 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 M (/.f64 M d))) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 M (/.f64 M d))) #s(literal -1/8 binary64)))) (-.f64 (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 M (/.f64 M d))) #s(literal -1/8 binary64)))) (.f64 D D)))
	39.1%	#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 (fma.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 M (/.f64 M d))) #s(literal -1/8 binary64) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) D) D))
	3.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64)))
▶	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(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
▶	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	4.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (/.f64 (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (.f64 D D))) (.f64 D D)))
	20.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 D D)))
	18.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (.f64 l h)))))) h))
	16.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))) d)) h))
	19.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l)))))) h))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
	32.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)))))
	13.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) d) #s(approx (sqrt (/ 1 (* l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))))))

Compiler

Compiled 2 980 to 2 694 computations (9.6% saved)

series192.0ms (2.4%)

Memory

2.8MiB live, 283.7MiB allocated; 31ms collecting garbage

Counts

67 → 98

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
55.0ms	D	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg (neg d)) (sqrt (/ 1 (* l h)))) (neg (neg d)) (neg d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (/ h (* (* l l) l)))) (* (* -1/8 (* D D)) (* M (/ M d))) (* -1/8 (* D D)) -1/8 (* D D) (* M (/ M d)) (/ M d) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) (* (* D D) (/ (* M M) d)) (/ (* M M) d) (* M M) (sqrt (/ (* (* h h) h) (* (* l l) l))) (/ (* (* h h) h) (* (* l l) l)) (* (* h h) h) (* h h) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (/ h l) (* (/ (* (sqrt (/ d h)) (sqrt d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (/ d h)) (sqrt d)) (sqrt l)) (* (sqrt (/ d h)) (sqrt d)) (sqrt (/ d h)) (/ d h) (sqrt d) (sqrt 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) (* 2 d))
15.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg (neg d)) (sqrt (/ 1 (* l h)))) (neg (neg d)) (neg d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (/ h (* (* l l) l)))) (* (* -1/8 (* D D)) (* M (/ M d))) (* -1/8 (* D D)) -1/8 (* D D) (* M (/ M d)) (/ M d) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) (* (* D D) (/ (* M M) d)) (/ (* M M) d) (* M M) (sqrt (/ (* (* h h) h) (* (* l l) l))) (/ (* (* h h) h) (* (* l l) l)) (* (* h h) h) (* h h) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (/ h l) (* (/ (* (sqrt (/ d h)) (sqrt d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (/ d h)) (sqrt d)) (sqrt l)) (* (sqrt (/ d h)) (sqrt d)) (sqrt (/ d h)) (/ d h) (sqrt d) (sqrt 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) (* 2 d))
14.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg (neg d)) (sqrt (/ 1 (* l h)))) (neg (neg d)) (neg d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (/ h (* (* l l) l)))) (* (* -1/8 (* D D)) (* M (/ M d))) (* -1/8 (* D D)) -1/8 (* D D) (* M (/ M d)) (/ M d) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) (* (* D D) (/ (* M M) d)) (/ (* M M) d) (* M M) (sqrt (/ (* (* h h) h) (* (* l l) l))) (/ (* (* h h) h) (* (* l l) l)) (* (* h h) h) (* h h) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (/ h l) (* (/ (* (sqrt (/ d h)) (sqrt d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (/ d h)) (sqrt d)) (sqrt l)) (* (sqrt (/ d h)) (sqrt d)) (sqrt (/ d h)) (/ d h) (sqrt d) (sqrt 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) (* 2 d))
13.0ms	l	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg (neg d)) (sqrt (/ 1 (* l h)))) (neg (neg d)) (neg d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (/ h (* (* l l) l)))) (* (* -1/8 (* D D)) (* M (/ M d))) (* -1/8 (* D D)) -1/8 (* D D) (* M (/ M d)) (/ M d) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) (* (* D D) (/ (* M M) d)) (/ (* M M) d) (* M M) (sqrt (/ (* (* h h) h) (* (* l l) l))) (/ (* (* h h) h) (* (* l l) l)) (* (* h h) h) (* h h) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (/ h l) (* (/ (* (sqrt (/ d h)) (sqrt d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (/ d h)) (sqrt d)) (sqrt l)) (* (sqrt (/ d h)) (sqrt d)) (sqrt (/ d h)) (/ d h) (sqrt d) (sqrt 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) (* 2 d))
13.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg (neg d)) (sqrt (/ 1 (* l h)))) (neg (neg d)) (neg d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (/ h (* (* l l) l)))) (* (* -1/8 (* D D)) (* M (/ M d))) (* -1/8 (* D D)) -1/8 (* D D) (* M (/ M d)) (/ M d) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) (* (* D D) (/ (* M M) d)) (/ (* M M) d) (* M M) (sqrt (/ (* (* h h) h) (* (* l l) l))) (/ (* (* h h) h) (* (* l l) l)) (* (* h h) h) (* h h) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (/ h l) (* (/ (* (sqrt (/ d h)) (sqrt d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (/ d h)) (sqrt d)) (sqrt l)) (* (sqrt (/ d h)) (sqrt d)) (sqrt (/ d h)) (/ d h) (sqrt d) (sqrt 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) (* 2 d))

rewrite88.0ms (1.1%)

Memory

-6.8MiB live, 135.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	429	3958
0	517	3181
0	1816	3159

Stop Event

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

Counts

165 → 335

Calls

Call 1

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

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

eval32.0ms (0.4%)

Memory: 17.7MiB live, 107.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 4 077 to 1 613 computations (60.4% saved)

prune52.0ms (0.7%)

Memory

-17.6MiB live, 129.8MiB allocated; 14ms collecting garbage

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	270	23	293
Fresh	15	19	34
Picked	4	1	5
Done	0	0	0
Total	289	43	332

Accuracy

92.1%

Counts

332 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.2%	(.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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))))
	38.0%	(.f64 (/.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (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))))
	39.3%	(.f64 (/.f64 #s(approx ( (sqrt (/ d h)) (sqrt d)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) 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))))
	36.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	29.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M))) #s(literal 1/2 binary64)) (/.f64 h l))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
	26.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	24.9%	(.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 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
	39.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	19.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	37.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.7%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))))
▶	71.2%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
▶	71.8%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	2.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	70.8%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M))) #s(literal 1/2 binary64)) h) l)))
	26.2%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) #s(approx (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	2.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (sqrt.f64 (.f64 (.f64 h h) (/.f64 h (.f64 (.f64 l l) l))))) d) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	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 (fma.f64 (.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 #s(literal -1/8 binary64) D) D)) (sqrt.f64 (.f64 (.f64 h h) (/.f64 h (.f64 (.f64 l l) l)))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	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 (fma.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	16.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) (sqrt.f64 (.f64 (/.f64 (.f64 h h) (.f64 l l)) (/.f64 h l)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	27.1%	#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 #s(literal -1/8 binary64) (.f64 (.f64 M M) (.f64 D D))) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	13.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) (.f64 D D)) (sqrt.f64 (.f64 (.f64 h h) (/.f64 h (.f64 (*.f64 l l) l))))) #s(literal -1/8 binary64))) h))
	26.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
▶	12.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))) d (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 l l) (.f64 l h)))))) h))
▶	30.6%	#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 #s(literal -1/8 binary64) (.f64 (.f64 M M) (.f64 D D))) d) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	39.1%	#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 (fma.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 M (/.f64 M d))) #s(literal -1/8 binary64) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) D) D))
	3.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64)))
	18.5%	#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 -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (/.f64 (sqrt.f64 h) (sqrt.f64 (.f64 (*.f64 l l) l)))))
	34.0%	#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 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l))))
✓	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(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
▶	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h)))))
	32.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
	13.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 (neg.f64 d)) #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))))
	4.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (/.f64 (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (.f64 D D))) (.f64 D D)))
	20.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 D D)))
	18.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (.f64 l h)))))) h))
	16.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))) d)) h))
	19.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l)))))) h))

Compiler

Compiled 3 174 to 2 920 computations (8% saved)

series205.0ms (2.6%)

Memory

22.1MiB live, 300.2MiB allocated; 46ms collecting garbage

Counts

58 → 87

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
43.0ms	M	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ (/ 1 l) h)) d) (sqrt (/ (/ 1 l) h)) (/ (/ 1 l) h) (/ 1 l) 1 l h d (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* -1/8 (* (* M M) (* D D))) d) (sqrt (/ h (* (* l l) l)))) (/ (* -1/8 (* (* M M) (* D D))) d) (* -1/8 (* (* M M) (* D D))) -1/8 (* (* M M) (* D D)) (* M M) (* D D) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) h) (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) (sqrt (/ 1 (* (* (* h h) h) l))) (/ 1 (* (* (* h h) h) l)) (* (* (* h h) h) l) (* (* h h) h) (* h h) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h))))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (/ (* M M) d) (/ 1 (sqrt (* (* l l) (* l h)))) (sqrt (* (* l l) (* l h))) (* (* l l) (* l h)))
35.0ms	D	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ (/ 1 l) h)) d) (sqrt (/ (/ 1 l) h)) (/ (/ 1 l) h) (/ 1 l) 1 l h d (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* -1/8 (* (* M M) (* D D))) d) (sqrt (/ h (* (* l l) l)))) (/ (* -1/8 (* (* M M) (* D D))) d) (* -1/8 (* (* M M) (* D D))) -1/8 (* (* M M) (* D D)) (* M M) (* D D) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) h) (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) (sqrt (/ 1 (* (* (* h h) h) l))) (/ 1 (* (* (* h h) h) l)) (* (* (* h h) h) l) (* (* h h) h) (* h h) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h))))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (/ (* M M) d) (/ 1 (sqrt (* (* l l) (* l h)))) (sqrt (* (* l l) (* l h))) (* (* l l) (* l h)))
15.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ (/ 1 l) h)) d) (sqrt (/ (/ 1 l) h)) (/ (/ 1 l) h) (/ 1 l) 1 l h d (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* -1/8 (* (* M M) (* D D))) d) (sqrt (/ h (* (* l l) l)))) (/ (* -1/8 (* (* M M) (* D D))) d) (* -1/8 (* (* M M) (* D D))) -1/8 (* (* M M) (* D D)) (* M M) (* D D) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) h) (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) (sqrt (/ 1 (* (* (* h h) h) l))) (/ 1 (* (* (* h h) h) l)) (* (* (* h h) h) l) (* (* h h) h) (* h h) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h))))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (/ (* M M) d) (/ 1 (sqrt (* (* l l) (* l h)))) (sqrt (* (* l l) (* l h))) (* (* l l) (* l h)))
15.0ms	l	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ (/ 1 l) h)) d) (sqrt (/ (/ 1 l) h)) (/ (/ 1 l) h) (/ 1 l) 1 l h d (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* -1/8 (* (* M M) (* D D))) d) (sqrt (/ h (* (* l l) l)))) (/ (* -1/8 (* (* M M) (* D D))) d) (* -1/8 (* (* M M) (* D D))) -1/8 (* (* M M) (* D D)) (* M M) (* D D) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) h) (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) (sqrt (/ 1 (* (* (* h h) h) l))) (/ 1 (* (* (* h h) h) l)) (* (* (* h h) h) l) (* (* h h) h) (* h h) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h))))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (/ (* M M) d) (/ 1 (sqrt (* (* l l) (* l h)))) (sqrt (* (* l l) (* l h))) (* (* l l) (* l h)))
14.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ (/ 1 l) h)) d) (sqrt (/ (/ 1 l) h)) (/ (/ 1 l) h) (/ 1 l) 1 l h d (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l) (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) M (/ D (+ d d)) D (+ d d) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* -1/8 (* (* M M) (* D D))) d) (sqrt (/ h (* (* l l) l)))) (/ (* -1/8 (* (* M M) (* D D))) d) (* -1/8 (* (* M M) (* D D))) -1/8 (* (* M M) (* D D)) (* M M) (* D D) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) h) (+ (* (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) (sqrt (/ 1 (* (* (* h h) h) l))) (/ 1 (* (* (* h h) h) l)) (* (* (* h h) h) l) (* (* h h) h) (* h h) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h))))) (* -1/8 (* (* D D) (/ (* M M) d))) (* (* D D) (/ (* M M) d)) (/ (* M M) d) (/ 1 (sqrt (* (* l l) (* l h)))) (sqrt (* (* l l) (* l h))) (* (* l l) (* l h)))

rewrite77.0ms (1%)

Memory

19.9MiB live, 105.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	398	3861
0	480	3223
0	1736	3197

Stop Event

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

Counts

145 → 311

Calls

Call 1

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

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

eval92.0ms (1.1%)

Memory: -16.5MiB live, 102.3MiB allocated; 103ms collecting garbage
Compiler: Compiled 5 130 to 1 680 computations (67.3% saved)

prune85.0ms (1.1%)

Memory

7.2MiB live, 195.6MiB allocated; 33ms collecting garbage

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	318	14	332
Fresh	9	28	37
Picked	3	2	5
Done	0	1	1
Total	330	45	375

Accuracy

93.0%

Counts

375 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.2%	(.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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))))
	39.3%	(.f64 (/.f64 #s(approx ( (sqrt (/ d h)) (sqrt d)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) 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))))
	36.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	26.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	24.9%	(.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 (fma.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) h)))
	39.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	19.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	37.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.7%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))))
	71.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (.f64 #s(literal 1 binary64) d) (sqrt.f64 (.f64 l h)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	41.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	70.9%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M (.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M))) #s(literal 1/2 binary64)) h) l)))
	26.2%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)) #s(approx (- 1 (/ (* (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	68.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (.f64 (/.f64 D (+.f64 d d)) (.f64 (/.f64 D (+.f64 d d)) M))) #s(literal 1/2 binary64)) (/.f64 h l))))
	26.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) #s(approx (- 1 (/ ( (* (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) 1/2) h) l)) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
	2.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
	2.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (sqrt.f64 (.f64 (.f64 h h) (/.f64 h (.f64 (.f64 l l) l))))) d) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	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 (fma.f64 (.f64 (.f64 (/.f64 M d) M) (.f64 (.f64 #s(literal -1/8 binary64) D) D)) (sqrt.f64 (.f64 (.f64 h h) (/.f64 h (.f64 (.f64 l l) l)))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	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 (fma.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	16.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 M M) d)) (sqrt.f64 (.f64 (/.f64 (.f64 h h) (.f64 l l)) (/.f64 h l)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	27.1%	#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 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	31.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 (.f64 (*.f64 M M) D) D)) #s(literal -1/8 binary64)) d))
	13.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) (.f64 D D)) (sqrt.f64 (.f64 (.f64 h h) (/.f64 h (.f64 (*.f64 l l) l))))) #s(literal -1/8 binary64))) h))
	26.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* D D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))) d (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 l l)) (sqrt.f64 (.f64 l h)))))) h))
✓	12.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))) d (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 M M) d))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 l l) (.f64 l h)))))) h))
	16.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) (.f64 D D))) d) (/.f64 (sqrt.f64 h) (sqrt.f64 (.f64 (*.f64 l l) l)))))
	31.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) (.f64 D D))) d) (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l))))
	35.8%	#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(literal -1/8 binary64) (.f64 (.f64 D M) (.f64 D M))) d) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	39.1%	#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 (fma.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 M (/.f64 M d))) #s(literal -1/8 binary64) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) D) D))
	3.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64)))
✓	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(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
✓	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h)))))
	32.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
	13.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 (neg.f64 d)) #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))))
	4.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (/.f64 (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (.f64 D D))) (.f64 D D)))
	20.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (/ d (* D D)) (sqrt (/ 1 (* l h)))) (* (* (/ (* M M) d) (sqrt (/ h (* (* l l) l)))) -1/8)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 D D)))
	16.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))) d)) h))
	19.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (/ 1 (sqrt (* (* l l) (* l h)))))) (.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l)))))) h))
	18.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (sqrt (/ 1 (* (* (* h h) h) l))) d) (* (* -1/8 (* (* D D) (/ (* M M) d))) (sqrt (/ 1 (* (* (* l l) l) h))))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (.f64 l h)))))) h))

Compiler

Compiled 3 193 to 2 061 computations (35.5% saved)

regimes211.0ms (2.6%)

Memory

-20.0MiB live, 393.3MiB allocated; 61ms collecting garbage

Counts

90 → 3

Calls

Call 1

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

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 D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

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

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

Calls

7 calls:

34.0ms	l
30.0ms	d
30.0ms	(.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))))
27.0ms	D
26.0ms	M

Results

Accuracy	Segments	Branch
71.8%	1	`(*.f64 M D)`
76.6%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
75.2%	3	`d`
77.7%	2	`h`
80.3%	3	`l`
71.8%	1	`M`
71.8%	1	`D`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes22.0ms (0.3%)

Memory

38.8MiB live, 38.8MiB allocated; 0ms collecting garbage

Counts

67 → 3

Calls

Call 1

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

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

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 D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
80.2%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes77.0ms (1%)

Memory

-16.8MiB live, 75.4MiB allocated; 7ms collecting garbage

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

31.0ms

28.0ms

(*.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))))

14.0ms

Results

Accuracy	Segments	Branch
75.9%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
71.8%	1	`h`
74.3%	2	`l`

Compiler

Compiled 33 to 32 computations (3% saved)

regimes50.0ms (0.6%)

Memory

-31.6MiB live, 46.5MiB allocated; 16ms collecting garbage

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

35.0ms

(*.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))))

12.0ms

Results

Accuracy	Segments	Branch
75.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
73.9%	2	`l`

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes43.0ms (0.5%)

Memory

3.5MiB live, 49.6MiB allocated; 4ms collecting garbage

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

30.0ms

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
73.9%	2	`l`
75.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes16.0ms (0.2%)

Memory

-10.2MiB live, 36.0MiB allocated; 3ms collecting garbage

Counts

43 → 2

Calls

Call 1

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

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 D) (/ (* M M) d)) (sqrt (/ (* (* h h) h) (* (* l l) l)))) -1/8) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
73.8%	2	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes14.0ms (0.2%)

Memory

33.3MiB live, 33.3MiB allocated; 0ms collecting garbage

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
73.8%	2	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes40.0ms (0.5%)

Memory

-27.7MiB live, 116.3MiB allocated; 12ms collecting garbage

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

13.0ms

12.0ms

11.0ms

(*.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
70.8%	1	`d`
74.9%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
73.4%	2	`l`

Compiler

Compiled 33 to 32 computations (3% saved)

regimes88.0ms (1.1%)

Memory

14.3MiB live, 200.6MiB allocated; 23ms collecting garbage

Counts

39 → 2

Calls

Call 1

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

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 (neg.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))

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

Calls

7 calls:

17.0ms	D
14.0ms	M
13.0ms	d
11.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
10.0ms	l

Results

Accuracy	Segments	Branch
48.5%	3	`d`
55.2%	2	`(*.f64 M D)`
53.8%	2	`D`
42.6%	3	`h`
55.0%	3	`M`
52.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
55.5%	4	`l`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes7.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
54.0%	2	`(*.f64 M D)`

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes15.0ms (0.2%)

Memory

-10.0MiB live, 35.7MiB allocated; 5ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	(*.f64 M D)
5.0ms	D

Results

Accuracy	Segments	Branch
49.2%	2	`D`
53.6%	2	`(*.f64 M D)`

Compiler

Compiled 4 to 11 computations (-175% saved)

regimes43.0ms (0.5%)

Memory

-8.0MiB live, 87.2MiB allocated; 15ms collecting garbage

Counts

18 → 3

Calls

Call 1

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

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

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

Calls

6 calls:

14.0ms	D
9.0ms	M
5.0ms	d
5.0ms	l
5.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
34.9%	2	`d`
37.3%	2	`D`
43.4%	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))))`
39.9%	3	`l`
37.5%	2	`M`
38.6%	2	`(*.f64 M D)`

Compiler

Compiled 38 to 48 computations (-26.3% saved)

regimes12.0ms (0.2%)

Memory

-17.8MiB live, 27.9MiB allocated; 4ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
36.7%	2	`h`
42.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes7.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Calls

3 calls:

2.0ms

(*.f64 M D)

2.0ms

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

Results

Accuracy	Segments	Branch
37.9%	2	`l`
35.5%	2	`(*.f64 M D)`
39.4%	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 35 to 33 computations (5.7% saved)

regimes2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
37.9%	2	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes10.0ms (0.1%)

Memory

-19.3MiB live, 26.8MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	h
1.0ms	D
1.0ms	l
1.0ms	d
1.0ms	M

Results

Accuracy	Segments	Branch
32.7%	1	`d`
32.7%	1	`(*.f64 M D)`
32.7%	1	`h`
32.7%	1	`D`
32.7%	1	`M`
32.7%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
32.7%	1	`l`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

bsearch46.0ms (0.6%)

Memory

-11.7MiB live, 94.8MiB allocated; 16ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	predicate-failed

Steps

Time	Left	Right
20.0ms	-2.9647720470316582e-307	1.1328965031457302e-306
13.0ms	-1.2790451371107438e+221	-4.107742479056528e+219

Samples

23.0ms	222×	0	invalid
4.0ms	16×	0	valid

Compiler

Compiled 108 to 92 computations (14.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult!: 7.0ms (37% of total)

ival-div!: 5.0ms (26.4% of total)

ival-pow: 4.0ms (21.2% of total)

ival-pow2: 2.0ms (10.6% of total)

ival-sub!: 1.0ms (5.3% of total)

adjust: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory

37.2MiB live, 83.7MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	predicate-failed

Steps

Time	Left	Right
16.0ms	-2.9647720470316582e-307	1.1328965031457302e-306
13.0ms	-1.3139961716820257e+216	-1.2512931421804452e+209

Samples

24.0ms

202×

invalid

Compiler

Compiled 107 to 91 computations (15% saved)

Precisions

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

ival-mult!: 7.0ms (42.4% of total)

ival-div!: 4.0ms (24.2% of total)

ival-pow: 2.0ms (12.1% of total)

ival-pow2: 2.0ms (12.1% of total)

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

adjust: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory

-5.7MiB live, 40.9MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
15.0ms	-1.3139961716820257e+216	-1.2512931421804452e+209

Samples

12.0ms

101×

invalid

Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult!: 4.0ms (45% of total)

ival-div!: 2.0ms (22.5% of total)

ival-pow: 1.0ms (11.3% of total)

ival-pow2: 1.0ms (11.3% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6791681076116618e+238	2.4939127113511855e+240
0.0ms	1.0359424610134276e-264	1.0269753257758693e-243

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch18.0ms (0.2%)

Memory

-5.7MiB live, 41.1MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
15.0ms	-1.3139961716820257e+216	-1.2512931421804452e+209

Samples

13.0ms

101×

invalid

Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult!: 4.0ms (44.1% of total)

ival-div!: 2.0ms (22.1% of total)

ival-pow: 1.0ms (11% of total)

ival-pow2: 1.0ms (11% of total)

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

adjust: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory

-9.4MiB live, 42.2MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
15.0ms	-1.3139961716820257e+216	-1.2512931421804452e+209

Samples

13.0ms

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 (28.4% of total)

ival-mult!: 2.0ms (28.4% of total)

ival-pow: 1.0ms (14.2% of total)

ival-pow2: 1.0ms (14.2% of total)

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

adjust: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory

-6.5MiB live, 40.3MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
15.0ms	-1.3139961716820257e+216	-1.2512931421804452e+209

Samples

13.0ms

101×

invalid

Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult!: 4.0ms (43.7% of total)

ival-div!: 2.0ms (21.9% of total)

ival-pow: 1.0ms (10.9% of total)

ival-pow2: 1.0ms (10.9% of total)

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

adjust: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory

-4.4MiB live, 42.1MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
14.0ms	-1.3139961716820257e+216	-1.2512931421804452e+209

Samples

12.0ms

101×

invalid

Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult!: 4.0ms (48.6% of total)

ival-div!: 2.0ms (24.3% of total)

ival-pow: 1.0ms (12.1% of total)

ival-pow2: 1.0ms (12.1% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3956491964516698e+64	2.983917618630754e+64

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3956491964516698e+64	2.983917618630754e+64

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3956491964516698e+64	2.983917618630754e+64

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.1731330578389132e-242	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.1731330578389132e-242	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch40.0ms (0.5%)

Memory

-0.4MiB live, 97.6MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	3.220918085421596e-209	4.880714885656231e-207

Samples

18.0ms	112×	0	valid
11.0ms	98×	0	invalid

Compiler

Compiled 598 to 569 computations (4.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-pow: 8.0ms (36.9% of total)

ival-mult!: 5.0ms (23.1% of total)

ival-pow2: 4.0ms (18.4% of total)

ival-div!: 4.0ms (18.4% of total)

ival-sub!: 1.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.220918085421596e-209	4.880714885656231e-207

Compiler

Compiled 584 to 555 computations (5% saved)

derivations146.0ms (1.8%)

Memory

-19.2MiB live, 221.1MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 399 to 212 computations (46.9% saved)

preprocess422.0ms (5.3%)

Memory

41.5MiB live, 699.7MiB allocated; 72ms collecting garbage

Remove

(sort M D)

(abs D)

(abs M)

Compiler

Compiled 15 836 to 12 060 computations (23.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze384.0ms (4.8%)

sample4.6s (57.3%)

preprocess50.0ms (0.6%)

series107.0ms (1.3%)

rewrite123.0ms (1.5%)

eval8.0ms (0.1%)

prune28.0ms (0.3%)

series229.0ms (2.9%)

rewrite133.0ms (1.7%)

eval43.0ms (0.5%)

prune55.0ms (0.7%)

series192.0ms (2.4%)

rewrite88.0ms (1.1%)

eval32.0ms (0.4%)

prune52.0ms (0.7%)

series205.0ms (2.6%)

rewrite77.0ms (1%)

eval92.0ms (1.1%)

prune85.0ms (1.1%)

regimes211.0ms (2.6%)

regimes22.0ms (0.3%)

regimes77.0ms (1%)

regimes50.0ms (0.6%)

regimes43.0ms (0.5%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes40.0ms (0.5%)

regimes88.0ms (1.1%)

regimes7.0ms (0.1%)

regimes15.0ms (0.2%)

regimes43.0ms (0.5%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes10.0ms (0.1%)

bsearch46.0ms (0.6%)

bsearch34.0ms (0.4%)

bsearch18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch18.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch40.0ms (0.5%)

bsearch1.0ms (0%)

derivations146.0ms (1.8%)

preprocess422.0ms (5.3%)

end0.0ms (0%)

Profiling