Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze515.0ms (4.4%)

Memory

16.8MiB live, 850.9MiB allocated; 271ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	4
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	5
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	6
15.4%	12.5%	68.6%	0.2%	0%	18.7%	0%	7
16.7%	12.5%	62.3%	0.2%	0%	24.9%	0%	8
20%	14%	56.1%	0.2%	0%	29.6%	0%	9
20%	14%	56.1%	0.2%	0%	29.6%	0%	10
20%	14%	56.1%	0.2%	0%	29.6%	0%	11
22.9%	14.8%	49.9%	0.2%	0%	35.1%	0%	12

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.1s (44.3%)

Memory

30.4MiB live, 6 554.1MiB allocated; 1.9s collecting garbage

Samples

2.3s	13 417×	0	invalid
1.4s	8 256×	0	valid

Precisions

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

ival-pow: 697.0ms (26.4% of total)

ival-mult!: 682.0ms (25.8% of total)

ival-pow2: 625.0ms (23.7% of total)

ival-div!: 569.0ms (21.6% of total)

ival-sub!: 62.0ms (2.3% of total)

adjust: 4.0ms (0.2% of total)

Bogosity

preprocess58.0ms (0.5%)

Memory

-19.7MiB live, 73.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	589
1	813	556
2	4571	550

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.9%	(.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 #s(literal 1 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

▶

35.9%

(*.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 #s(literal 1 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)

series81.0ms (0.7%)

Memory

43.2MiB live, 182.6MiB allocated; 22ms collecting garbage

Counts

22 → 46

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
14.0ms	l	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
8.0ms	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))
7.0ms	M	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (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	@	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))

rewrite191.0ms (1.6%)

Memory

11.7MiB live, 238.9MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	1598
0	240	1465
1	1143	1443
2	5769	1398
0	8094	1359
1	19028	1359

Stop Event

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

Counts

68 → 256

Calls

Call 1

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

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

eval34.0ms (0.3%)

Memory: -22.7MiB live, 73.6MiB allocated; 16ms collecting garbage
Compiler: Compiled 2 977 to 1 155 computations (61.2% saved)

prune23.0ms (0.2%)

Memory

20.6MiB live, 67.7MiB allocated; 2ms collecting garbage

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	212	25	237
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	213	25	238

Accuracy

89.3%

Counts

238 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.9%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
▶	70.5%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	27.9%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	29.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
	35.5%	(.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)) (/.f64 (.f64 (.f64 (/.f64 D (+.f64 d d)) M) (*.f64 D M)) (+.f64 d d))) (/.f64 h l))))
	31.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (*.f64 d (+.f64 d d)))) (/.f64 h l))))
	23.0%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 M M) (.f64 (.f64 (/.f64 h (.f64 (.f64 d d) l)) (*.f64 D D)) #s(literal -1/8 binary64))))))
	10.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M (.f64 (*.f64 d d) l)))) h)))
	24.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	34.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (sqrt.f64 (/.f64 d l))) (sqrt.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	34.7%	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 (sqrt.f64 (/.f64 d h)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	34.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	0.9%	(.f64 (.f64 #s(approx (pow (/ d h) (/ 1 2)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d))))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	41.1%	(.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	20.4%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (sqrt.f64 (.f64 (/.f64 d h) (/.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))))
	55.9%	(neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
	47.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (.f64 M M)) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64)) h (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(literal 1 binary64))))
	40.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) h) (/.f64 (.f64 D D) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)) M) M (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(literal 1 binary64))))
▶	52.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) h) (.f64 M (/.f64 M (.f64 (.f64 d d) l)))) #s(literal -1/8 binary64)) D) D (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
▶	15.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 h d) (/.f64 d l))) h) M) M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (.f64 (*.f64 h d) (/.f64 d l)))) h))
▶	16.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 h d) (/.f64 d l))) h))
	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 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 h d) (.f64 l d)))) h) M) M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 h d) (.f64 l d))))) (*.f64 d d)))
	25.0%	#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 binary64) (sqrt.f64 (.f64 (.f64 h d) (*.f64 l d)))) d) d))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) h) (.f64 M (/.f64 M (.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64)) D) D))
	5.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 (.f64 (.f64 d d) l) h))) h) (/.f64 (.f64 D D) (.f64 (.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))

Compiler

Compiled 1 680 to 1 454 computations (13.5% saved)

series299.0ms (2.6%)

Memory

14.9MiB live, 627.1MiB allocated; 114ms collecting garbage

Counts

55 → 179

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
39.0ms	h	@	-inf	((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) D) (/ (fabs d) (sqrt (* h l)))) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l))) (/ M (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) (* (* (sqrt (* (* h d) (/ d l))) h) M) (* (sqrt (* (* h d) (/ d l))) h) (* (* (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)) (* (neg d) (sqrt (/ 1 (* h d)))) (neg d) (sqrt (/ 1 (* h d))) (/ 1 (* h d)) (pow (/ d l) (/ 1 2)))
30.0ms	M	@	inf	((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) D) (/ (fabs d) (sqrt (* h l)))) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l))) (/ M (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) (* (* (sqrt (* (* h d) (/ d l))) h) M) (* (sqrt (* (* h d) (/ d l))) h) (* (* (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)) (* (neg d) (sqrt (/ 1 (* h d)))) (neg d) (sqrt (/ 1 (* h d))) (/ 1 (* h d)) (pow (/ d l) (/ 1 2)))
28.0ms	l	@	-inf	((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) D) (/ (fabs d) (sqrt (* h l)))) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l))) (/ M (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) (* (* (sqrt (* (* h d) (/ d l))) h) M) (* (sqrt (* (* h d) (/ d l))) h) (* (* (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)) (* (neg d) (sqrt (/ 1 (* h d)))) (neg d) (sqrt (/ 1 (* h d))) (/ 1 (* h d)) (pow (/ d l) (/ 1 2)))
26.0ms	M	@	0	((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) D) (/ (fabs d) (sqrt (* h l)))) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l))) (/ M (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) (* (* (sqrt (* (* h d) (/ d l))) h) M) (* (sqrt (* (* h d) (/ d l))) h) (* (* (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)) (* (neg d) (sqrt (/ 1 (* h d)))) (neg d) (sqrt (/ 1 (* h d))) (/ 1 (* h d)) (pow (/ d l) (/ 1 2)))
25.0ms	d	@	-inf	((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) D) (/ (fabs d) (sqrt (* h l)))) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l))) (/ M (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) (* (* (sqrt (* (* h d) (/ d l))) h) M) (* (sqrt (* (* h d) (/ d l))) h) (* (* (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)) (* (neg d) (sqrt (/ 1 (* h d)))) (neg d) (sqrt (/ 1 (* h d))) (/ 1 (* h d)) (pow (/ d l) (/ 1 2)))

rewrite192.0ms (1.7%)

Memory

-5.1MiB live, 232.6MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	660	7376
0	746	6999
1	3161	6879
0	8340	6840
1	17054	6840

Stop Event

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

Counts

234 → 502

Calls

Call 1

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

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

eval103.0ms (0.9%)

Memory: 11.7MiB live, 155.7MiB allocated; 55ms collecting garbage
Compiler: Compiled 10 160 to 3 249 computations (68% saved)

prune66.0ms (0.6%)

Memory

-30.7MiB live, 162.4MiB allocated; 12ms collecting garbage

Pruning

44 alts after pruning (43 fresh and 1 done)

	Pruned	Kept	Total
New	610	38	648
Fresh	15	5	20
Picked	4	1	5
Done	0	0	0
Total	629	44	673

Accuracy

95.9%

Counts

673 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.9%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	61.2%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (*.f64 d (+.f64 d d)))) (/.f64 h l))))
▶	70.5%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
	70.5%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	47.6%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.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))))
	49.9%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #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))))
	48.8%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1/8 binary64)) (.f64 d d)))))
	22.0%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h 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))))
	34.1%	(.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt ( h l)) (.f64 (sqrt.f64 (/.f64 h l)) l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	70.3%	(.f64 (.f64 (fabs.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))))
	0.8%	(.f64 (.f64 #s(approx (pow (/ d h) (/ 1 2)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d))))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) (.f64 D M)) (*.f64 d (+.f64 d d)))) (/.f64 h l))))
	50.8%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.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))))
	53.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (fabs.f64 d) h) (sqrt.f64 (.f64 l h))) M) (/.f64 M (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)) D) D (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
▶	54.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) h) (.f64 M (/.f64 (/.f64 M (.f64 d d)) l))) #s(literal -1/8 binary64)) D) D (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l)))))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) h) (.f64 M (/.f64 M (.f64 (.f64 d d) l)))) #s(literal -1/8 binary64)) D) D (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))))
	35.2%	#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 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) h) (.f64 M (/.f64 M (.f64 (.f64 d d) l)))) #s(literal -1/8 binary64)) D) D (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))
	50.3%	#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 #s(approx ( (/ (fabs d) (sqrt (* h l))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))))) (.f64 M (/.f64 M (.f64 (.f64 d d) l)))) #s(literal -1/8 binary64)) D) D (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l)))))
	48.9%	#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 (fabs.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) (/.f64 (.f64 (fabs.f64 d) h) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64)) D) D)))
	46.7%	#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 #s(approx (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (.f64 (/.f64 (.f64 (.f64 D (.f64 M M)) (fabs.f64 d)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (.f64 d d))) #s(literal 1/8 binary64))) D (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l)))))
	22.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(approx (sqrt ( (* h d) (/ d l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h) M) M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(approx (sqrt ( (* h d) (/ d l))) (*.f64 (sqrt.f64 (/.f64 h l)) d))) h))
	18.6%	#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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (.f64 h d))) h))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 h d) d) l)) h))
✓	16.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 h d) (/.f64 d l))) h))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
	20.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h l)) h)) l) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
	14.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h l)) h)) (*.f64 l d)) #s(literal -1/8 binary64))) h))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	21.8%	#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 (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
▶	6.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (fabs.f64 d) h) (sqrt.f64 (.f64 l h))))) h))
	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 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 h d) (.f64 l d)))) h) M) M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 h d) (.f64 l d))))) (*.f64 d d)))
	19.5%	#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 (.f64 (.f64 (.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h)))) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
	20.7%	#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 (.f64 (.f64 (.f64 M M) h) (fabs.f64 d)) (.f64 D D)) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (.f64 l h)))) #s(literal -1/8 binary64)))
	25.0%	#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 binary64) (sqrt.f64 (.f64 (.f64 h d) (*.f64 l d)))) d) d))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) h) (.f64 M (/.f64 M (.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64)) D) D))
	5.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 (.f64 (.f64 d d) l) h))) h) (/.f64 (.f64 D D) (.f64 (.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) 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)))) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M M)) (.f64 D D)) l) #s(literal -1/8 binary64) (.f64 (.f64 d d) (/.f64 (sqrt.f64 (/.f64 h l)) h))) d)))
	23.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M M)) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 h l)) h)) 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)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (.f64 (/.f64 (.f64 (.f64 (.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (.f64 M M)) (.f64 D D)) (.f64 (.f64 l l) (.f64 d d))) #s(literal -1/8 binary64))))
	14.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M M)) (.f64 l d))) #s(literal -1/8 binary64))))
	34.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (*.f64 l h))))
▶	43.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
	6.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))

Compiler

Compiled 3 380 to 3 048 computations (9.8% saved)

series122.0ms (1.1%)

Memory

-6.4MiB live, 277.0MiB allocated; 17ms collecting garbage

Counts

53 → 101

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite176.0ms (1.5%)

Memory

0.5MiB live, 234.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	4210
0	502	3825
1	2171	3777
0	8662	3758
1	19783	3758

Stop Event

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

Counts

154 → 627

Calls

Call 1

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

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

eval106.0ms (0.9%)

Memory: 23.8MiB live, 198.8MiB allocated; 57ms collecting garbage
Compiler: Compiled 9 495 to 3 563 computations (62.5% saved)

prune104.0ms (0.9%)

Memory

13.5MiB live, 153.4MiB allocated; 48ms collecting garbage

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	657	25	682
Fresh	19	19	38
Picked	2	3	5
Done	0	1	1
Total	678	48	726

Accuracy

95.9%

Counts

726 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.2%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	51.6%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
▶	70.5%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (/.f64 (.f64 D M) d) (/.f64 (.f64 D M) d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	58.7%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (/.f64 M d) (/.f64 (.f64 M (.f64 D D)) d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	62.8%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (*.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
	54.6%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (fma.f64 (.f64 (.f64 M (/.f64 (.f64 M (.f64 D D)) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	26.7%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (.f64 (.f64 (.f64 D D) (.f64 h (.f64 (/.f64 M (.f64 (*.f64 d d) l)) M))) #s(literal -1/8 binary64))))
	36.6%	(.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt ( h l)) (.f64 (sqrt.f64 (/.f64 l h)) h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
	33.7%	(.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt ( h l)) (.f64 (sqrt.f64 (/.f64 h l)) l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
	70.3%	(.f64 (.f64 (fabs.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)) (.f64 (.f64 M (/.f64 D (+.f64 d d))) (.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
	50.8%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.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))))
	58.5%	(.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (.f64 l h))))
	54.2%	#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 (.f64 (/.f64 (.f64 (.f64 (fabs.f64 d) h) (.f64 M (/.f64 M (.f64 d d)))) (.f64 (sqrt.f64 (.f64 l h)) l)) #s(literal -1/8 binary64)) D) D (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
	53.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (fabs.f64 d) h) (sqrt.f64 (.f64 l h))) M) (/.f64 M (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)) D) D (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
✓	54.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) h) (.f64 M (/.f64 (/.f64 M (.f64 d d)) l))) #s(literal -1/8 binary64)) D) D (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l)))))
	26.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (.f64 (sqrt.f64 (/.f64 l h)) h))) h) (.f64 M (/.f64 (/.f64 M (.f64 d d)) l))) #s(literal -1/8 binary64)) D) D (/.f64 (fabs.f64 d) #s(approx (sqrt ( h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h)))))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) h) (.f64 M (/.f64 M (.f64 (.f64 d d) l)))) #s(literal -1/8 binary64)) D) D (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))))
	50.3%	#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 #s(approx ( (/ (fabs d) (sqrt (* h l))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))))) (.f64 M (/.f64 M (.f64 (.f64 d d) l)))) #s(literal -1/8 binary64)) D) D (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l)))))
▶	46.7%	#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 #s(approx (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) (.f64 (/.f64 (.f64 (.f64 D (.f64 M M)) (fabs.f64 d)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (.f64 d d))) #s(literal 1/8 binary64))) D (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l)))))
	22.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(approx (sqrt ( (* h d) (/ d l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h) M) M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(approx (sqrt ( (* h d) (/ d l))) (*.f64 (sqrt.f64 (/.f64 h l)) d))) h))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 h d) d) l)) h))
✓	16.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 h d) (/.f64 d l))) 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 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
	20.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h l)) h)) l) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
	14.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h l)) h)) (*.f64 l d)) #s(literal -1/8 binary64))) h))
	6.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (.f64 (.f64 (neg.f64 (fabs.f64 d)) h) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) h))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	21.8%	#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 (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	6.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d))) h) (sqrt.f64 (*.f64 l h))))) h))
	6.5%	#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 (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 d d)) h) (sqrt.f64 (*.f64 l h))))) h))
✓	6.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (fabs.f64 d) h) (sqrt.f64 (.f64 l h))))) h))
	2.8%	#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 (* (* h d) (/ d l))) (neg.f64 (.f64 (.f64 h (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))))) h))
	21.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 #s(approx (/ (* (fabs d) h) (sqrt (* l h))) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h)))))) h))
	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 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 h d) (.f64 l d)))) h) M) M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 h d) (.f64 l d))))) (*.f64 d d)))
	25.0%	#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 binary64) (sqrt.f64 (.f64 (.f64 h d) (*.f64 l d)))) d) d))
▶	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) h) (.f64 M (/.f64 M (.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64)) D) D))
	5.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 (.f64 (.f64 d d) l) h))) h) (/.f64 (.f64 D D) (.f64 (.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 h (/.f64 (fabs.f64 d) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (.f64 l h)))))) #s(literal -1/8 binary64)))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
	7.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt ( (* h d) (/ d l))) (.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (.f64 l h))) h)) (/.f64 #s(literal 1 binary64) h)))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M M)) (.f64 D D)) l) #s(literal -1/8 binary64) (.f64 (.f64 d d) (/.f64 (sqrt.f64 (/.f64 h l)) h))) d)))
	14.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M M)) (.f64 l d))) #s(literal -1/8 binary64))))
▶	42.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d))) (sqrt.f64 (.f64 l h)))))
	34.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (*.f64 l h))))
▶	6.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 l h)))))
✓	43.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))

Compiler

Compiled 3 555 to 3 211 computations (9.7% saved)

series188.0ms (1.6%)

Memory

25.9MiB live, 258.9MiB allocated; 23ms collecting garbage

Counts

54 → 122

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
47.0ms	M	@	inf	((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (* (* (/ (* D M) d) (/ (* D M) d)) 1/8) (* (/ (* D M) d) (/ (* D M) d)) (/ (* D M) d) (* D M) D M 1/8 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (/ (neg (fabs d)) (sqrt (* l h))) (neg (fabs d)) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (/ (* (sqrt (fabs d)) (sqrt (fabs d))) (sqrt (* l h))) (* (sqrt (fabs d)) (sqrt (fabs d))) (sqrt (fabs d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) D) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l))) (/ M (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) D) (/ (fabs d) (sqrt (* h l)))) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) (* (/ (* (* D (* M M)) (fabs d)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (/ (* (* D (* M M)) (fabs d)) (* (* (sqrt (/ l h)) l) (* d d))) (* (* D (* M M)) (fabs d)) (* D (* M M)) (* M M) (* (* (sqrt (/ l h)) l) (* d d)) (* (sqrt (/ l h)) l) (sqrt (/ l h)) (/ l h))
13.0ms	l	@	-inf	((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (* (* (/ (* D M) d) (/ (* D M) d)) 1/8) (* (/ (* D M) d) (/ (* D M) d)) (/ (* D M) d) (* D M) D M 1/8 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (/ (neg (fabs d)) (sqrt (* l h))) (neg (fabs d)) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (/ (* (sqrt (fabs d)) (sqrt (fabs d))) (sqrt (* l h))) (* (sqrt (fabs d)) (sqrt (fabs d))) (sqrt (fabs d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) D) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l))) (/ M (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) D) (/ (fabs d) (sqrt (* h l)))) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) (* (/ (* (* D (* M M)) (fabs d)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (/ (* (* D (* M M)) (fabs d)) (* (* (sqrt (/ l h)) l) (* d d))) (* (* D (* M M)) (fabs d)) (* D (* M M)) (* M M) (* (* (sqrt (/ l h)) l) (* d d)) (* (sqrt (/ l h)) l) (sqrt (/ l h)) (/ l h))
13.0ms	d	@	inf	((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (* (* (/ (* D M) d) (/ (* D M) d)) 1/8) (* (/ (* D M) d) (/ (* D M) d)) (/ (* D M) d) (* D M) D M 1/8 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (/ (neg (fabs d)) (sqrt (* l h))) (neg (fabs d)) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (/ (* (sqrt (fabs d)) (sqrt (fabs d))) (sqrt (* l h))) (* (sqrt (fabs d)) (sqrt (fabs d))) (sqrt (fabs d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) D) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l))) (/ M (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) D) (/ (fabs d) (sqrt (* h l)))) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) (* (/ (* (* D (* M M)) (fabs d)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (/ (* (* D (* M M)) (fabs d)) (* (* (sqrt (/ l h)) l) (* d d))) (* (* D (* M M)) (fabs d)) (* D (* M M)) (* M M) (* (* (sqrt (/ l h)) l) (* d d)) (* (sqrt (/ l h)) l) (sqrt (/ l h)) (/ l h))
12.0ms	d	@	-inf	((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (* (* (/ (* D M) d) (/ (* D M) d)) 1/8) (* (/ (* D M) d) (/ (* D M) d)) (/ (* D M) d) (* D M) D M 1/8 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (/ (neg (fabs d)) (sqrt (* l h))) (neg (fabs d)) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (/ (* (sqrt (fabs d)) (sqrt (fabs d))) (sqrt (* l h))) (* (sqrt (fabs d)) (sqrt (fabs d))) (sqrt (fabs d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) D) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l))) (/ M (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) D) (/ (fabs d) (sqrt (* h l)))) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) (* (/ (* (* D (* M M)) (fabs d)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (/ (* (* D (* M M)) (fabs d)) (* (* (sqrt (/ l h)) l) (* d d))) (* (* D (* M M)) (fabs d)) (* D (* M M)) (* M M) (* (* (sqrt (/ l h)) l) (* d d)) (* (sqrt (/ l h)) l) (sqrt (/ l h)) (/ l h))
10.0ms	d	@	0	((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (* (* (/ (* D M) d) (/ (* D M) d)) 1/8) (* (/ (* D M) d) (/ (* D M) d)) (/ (* D M) d) (* D M) D M 1/8 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (/ (neg (fabs d)) (sqrt (* l h))) (neg (fabs d)) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (* h d) (/ d l))) h) (/ (* (sqrt (fabs d)) (sqrt (fabs d))) (sqrt (* l h))) (* (sqrt (fabs d)) (sqrt (fabs d))) (sqrt (fabs d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) D) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l))) (/ M (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) D) (/ (fabs d) (sqrt (* h l)))) (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) (* (/ (* (* D (* M M)) (fabs d)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (/ (* (* D (* M M)) (fabs d)) (* (* (sqrt (/ l h)) l) (* d d))) (* (* D (* M M)) (fabs d)) (* D (* M M)) (* M M) (* (* (sqrt (/ l h)) l) (* d d)) (* (sqrt (/ l h)) l) (sqrt (/ l h)) (/ l h))

rewrite658.0ms (5.7%)

Memory

-81.0MiB live, 131.5MiB allocated; 840ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	4773
0	552	4480
1	2265	4284
0	8270	4265
1	19496	4265

Stop Event

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

Counts

176 → 574

Calls

Call 1

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

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

eval75.0ms (0.6%)

Memory: -2.0MiB live, 113.5MiB allocated; 19ms collecting garbage
Compiler: Compiled 9 393 to 3 674 computations (60.9% saved)

prune116.0ms (1%)

Memory

-0.6MiB live, 189.7MiB allocated; 16ms collecting garbage

Pruning

59 alts after pruning (53 fresh and 6 done)

	Pruned	Kept	Total
New	632	26	658
Fresh	12	27	39
Picked	2	3	5
Done	1	3	4
Total	647	59	706

Accuracy

97.1%

Counts

706 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.2%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
✓	70.5%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (/.f64 (.f64 D M) d) (/.f64 (.f64 D M) d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	70.5%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (/.f64 (.f64 D M) d) (/.f64 (.f64 D M) d)) #s(literal 1/8 binary64))) (*.f64 h (/.f64 #s(literal 1 binary64) l)))))
	58.7%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (/.f64 M d) (/.f64 (.f64 M (.f64 D D)) d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	62.8%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (.f64 D M) (/.f64 (.f64 D M) (*.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))))
	54.6%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (fma.f64 (.f64 (.f64 M (/.f64 (.f64 M (.f64 D D)) (.f64 (.f64 d d) l))) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
	26.7%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (.f64 (.f64 (.f64 D D) (.f64 h (.f64 (/.f64 M (.f64 (*.f64 d d) l)) M))) #s(literal -1/8 binary64))))
	37.0%	(.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt ( h l)) (.f64 (sqrt.f64 (/.f64 l h)) h))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (/.f64 (.f64 D M) d) (/.f64 (.f64 D M) d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	34.1%	(.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt ( h l)) (.f64 (sqrt.f64 (/.f64 h l)) l))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (/.f64 (.f64 D M) d) (/.f64 (.f64 D M) d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	34.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (/.f64 (.f64 D M) d) (/.f64 (.f64 D M) d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	70.3%	(.f64 (.f64 (fabs.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (/.f64 (.f64 D M) d) (/.f64 (.f64 D M) d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	41.1%	(.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (/.f64 (.f64 D M) d) (/.f64 (.f64 D M) d)) #s(literal 1/8 binary64))) (/.f64 h l))))
	58.5%	(.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D (.f64 d d))) #s(literal 1/8 binary64))) (/.f64 h l))) (sqrt.f64 (.f64 l h))))
	26.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (.f64 (sqrt.f64 (/.f64 l h)) h))) h) (.f64 M (/.f64 (/.f64 M (.f64 d d)) l))) #s(literal -1/8 binary64)) D) D (/.f64 (fabs.f64 d) #s(approx (sqrt ( h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h)))))
	54.9%	#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 #s(approx (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) (fabs.f64 d)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) d)) (/.f64 #s(literal 1/8 binary64) d))) D (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
	51.5%	#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 #s(approx (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) (fabs.f64 d)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) d)) (/.f64 D d)) #s(literal 1/8 binary64))) D (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
	57.9%	#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 #s(approx (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) (.f64 (.f64 (/.f64 (fabs.f64 d) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) d)) (/.f64 (.f64 (.f64 D M) M) d)) #s(literal 1/8 binary64))) D (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
	54.5%	#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 #s(approx (* (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ (/ M (* d d)) l))) -1/8) D) #s(approx (* (/ (* (* D (* M M)) (fabs d)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) (fabs.f64 d)) (.f64 (.f64 (.f64 l l) (.f64 d d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(literal -1/8 binary64)))) D (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l)))))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 h d) d) l)) h))
✓	16.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 h d) (/.f64 d l))) 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 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
	20.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h l)) h)) l) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
	14.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h l)) h)) (*.f64 l d)) #s(literal -1/8 binary64))) h))
	6.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (.f64 (.f64 (neg.f64 (fabs.f64 d)) h) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) h))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	21.8%	#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 (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	6.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d))) h) (sqrt.f64 (*.f64 l h))))) h))
✓	6.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (fabs.f64 d) h) (sqrt.f64 (.f64 l h))))) h))
	2.8%	#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 (* (* h d) (/ d l))) (neg.f64 (.f64 (.f64 h (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))))) h))
	21.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 #s(approx (/ (* (fabs d) h) (sqrt (* l h))) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h)))))) h))
	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 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 h d) (.f64 l d)))) h) M) M) D) D) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 h d) (.f64 l d))))) (*.f64 d d)))
	22.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) (fabs.f64 d))) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (.f64 l h)))) D) D))
	25.0%	#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 binary64) (sqrt.f64 (.f64 (.f64 h d) (*.f64 l d)))) d) d))
	25.8%	#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 (/.f64 (.f64 (.f64 (fabs.f64 d) h) (.f64 M (/.f64 M (.f64 d d)))) (.f64 (sqrt.f64 (*.f64 l h)) l)) #s(literal -1/8 binary64)) D) D))
	25.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (fabs.f64 d) h) (sqrt.f64 (.f64 l h))) M) (/.f64 M (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) D) D))
	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l))) #s(literal -1/8 binary64)) D) 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 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) h) (.f64 (/.f64 M d) (/.f64 M (.f64 l d)))) #s(literal -1/8 binary64)) D) D))
	11.0%	#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 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) h) (.f64 M (/.f64 M (.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64)) D) D))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 h (/.f64 (fabs.f64 d) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (.f64 l h)))))) #s(literal -1/8 binary64)))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 #s(approx (* (/ (fabs d) (sqrt (* h l))) h) (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 l h)))) (.f64 M (/.f64 M (.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64)) D) D))
	12.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(approx ( (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (.f64 (.f64 M M) (/.f64 (fabs.f64 d) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))))) #s(literal -1/8 binary64)) D) D))
	14.2%	#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(approx (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (.f64 (.f64 (.f64 M M) (/.f64 (fabs.f64 d) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (.f64 d d)))) #s(literal 1/8 binary64))) D) D))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
	8.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx ( (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) (.f64 (fabs.f64 d) h)) (.f64 (.f64 (.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))) #s(literal -1/8 binary64))) D))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx ( (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) (.f64 (fabs.f64 d) h)) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (*.f64 l h)))) #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 ( (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) (fabs.f64 d)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal -1/8 binary64))) D))
	7.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt ( (* h d) (/ d l))) (.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (.f64 l h))) h)) (/.f64 #s(literal 1 binary64) h)))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M M)) (.f64 D D)) l) #s(literal -1/8 binary64) (.f64 (.f64 d d) (/.f64 (sqrt.f64 (/.f64 h l)) h))) d)))
	14.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M M)) (.f64 l d))) #s(literal -1/8 binary64))))
	42.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 d))) (sqrt.f64 (sqrt.f64 (fabs.f64 d)))) (.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 d))) (sqrt.f64 (sqrt.f64 (fabs.f64 d))))) (sqrt.f64 (.f64 l h)))))
✓	42.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d))) (sqrt.f64 (.f64 l h)))))
	34.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (*.f64 l h))))
	6.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (neg.f64 (.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d)))) (sqrt.f64 (.f64 l h)))))
	5.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (neg.f64 (sqrt.f64 (.f64 d d))) (sqrt.f64 (.f64 l h)))))
✓	6.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 l h)))))
✓	43.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	6.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (.f64 (neg.f64 (fabs.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))))))

Compiler

Compiled 4 298 to 2 909 computations (32.3% saved)

regimes218.0ms (1.9%)

Memory

19.4MiB live, 292.0MiB allocated; 35ms collecting garbage

Counts

115 → 3

Calls

Call 1

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

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

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

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

Calls

7 calls:

35.0ms	(*.f64 M D)
32.0ms	d
31.0ms	M
30.0ms	D
30.0ms	l

Results

Accuracy	Segments	Branch
72.4%	2	`(*.f64 M D)`
77.3%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
74.4%	3	`d`
77.3%	3	`h`
78.3%	3	`l`
70.5%	1	`M`
70.5%	1	`D`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes44.0ms (0.4%)

Memory

-33.3MiB live, 57.0MiB allocated; 12ms collecting garbage

Counts

113 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
78.3%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes44.0ms (0.4%)

Memory

18.6MiB live, 63.4MiB allocated; 5ms collecting garbage

Counts

70 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

22.0ms	h
18.0ms	l

Results

Accuracy	Segments	Branch
74.6%	2	`h`
72.7%	2	`l`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes47.0ms (0.4%)

Memory

-0.8MiB live, 55.9MiB allocated; 27ms collecting garbage

Counts

65 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

27.0ms

(*.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))))

16.0ms

Results

Accuracy	Segments	Branch
74.5%	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))))`
70.5%	1	`h`

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes62.0ms (0.5%)

Memory

5.0MiB live, 93.0MiB allocated; 19ms collecting garbage

Counts

64 → 2

Calls

Call 1

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

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

Calls

3 calls:

23.0ms

18.0ms

(*.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))))

16.0ms

Results

Accuracy	Segments	Branch
70.5%	1	`l`
70.5%	1	`d`
72.6%	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))))`

Compiler

Compiled 33 to 32 computations (3% saved)

regimes46.0ms (0.4%)

Memory

-13.5MiB live, 31.0MiB allocated; 17ms collecting garbage

Counts

62 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

42.0ms

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

Results

Accuracy	Segments	Branch
72.6%	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))))`

Compiler

Compiled 31 to 22 computations (29% saved)

regimes179.0ms (1.5%)

Memory

6.3MiB live, 151.7MiB allocated; 22ms collecting garbage

Counts

56 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

82.0ms	D
21.0ms	M
19.0ms	h
14.0ms	l
14.0ms	d

Results

Accuracy	Segments	Branch
68.7%	2	`D`
69.8%	3	`d`
62.8%	1	`h`
64.8%	2	`l`
65.3%	2	`M`
69.8%	3	`(*.f64 M D)`
68.7%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes81.0ms (0.7%)

Memory

13.1MiB live, 58.8MiB allocated; 5ms collecting garbage

Counts

55 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

49.0ms	(*.f64 M D)
14.0ms	D
14.0ms	d

Results

Accuracy	Segments	Branch
69.1%	3	`(*.f64 M D)`
68.2%	4	`d`
67.7%	3	`D`

Compiler

Compiled 5 to 16 computations (-220% saved)

regimes43.0ms (0.4%)

Memory

15.4MiB live, 67.7MiB allocated; 8ms collecting garbage

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

15.0ms

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

13.0ms

12.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
65.4%	3	`D`
67.1%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
62.9%	2	`(*.f64 M D)`

Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes83.0ms (0.7%)

Memory

3.0MiB live, 138.3MiB allocated; 11ms collecting garbage

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

15.0ms	d
14.0ms	h
13.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
12.0ms	l
12.0ms	D

Results

Accuracy	Segments	Branch
60.4%	3	`D`
58.7%	3	`h`
59.4%	3	`l`
64.1%	4	`d`
60.8%	2	`M`
64.6%	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))))`

Compiler

Compiled 36 to 47 computations (-30.6% saved)

regimes124.0ms (1.1%)

Memory

-19.5MiB live, 80.3MiB allocated; 10ms collecting garbage

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

72.0ms	D
14.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
12.0ms	M
12.0ms	d
11.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
53.3%	2	`D`
58.5%	2	`M`
59.7%	5	`d`
56.5%	2	`(*.f64 M D)`
54.4%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 37 to 43 computations (-16.2% saved)

regimes16.0ms (0.1%)

Memory

-16.2MiB live, 27.7MiB allocated; 4ms collecting garbage

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
58.2%	2	`M`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes46.0ms (0.4%)

Memory

1.6MiB live, 48.4MiB allocated; 1ms 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)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d 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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 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 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (.f64 (neg.f64 (fabs.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)))) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (neg.f64 (sqrt.f64 (.f64 d d))) (sqrt.f64 (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 #s(approx (/ (* (fabs d) h) (sqrt (* l h))) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 h d) d) l)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (fabs.f64 d) h) (sqrt.f64 (.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d))) (sqrt.f64 (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (neg.f64 (.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d)))) (sqrt.f64 (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt ( (* h d) (/ d l))) (.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (.f64 l h))) h)) (/.f64 #s(literal 1 binary64) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (.f64 (.f64 (neg.f64 (fabs.f64 d)) h) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 h d) (*.f64 l 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 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 d d)) h) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (.f64 (.f64 h (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d))) h) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M M)) (.f64 l d))) #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 (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h l)) h)) (*.f64 l d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx ( (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) (fabs.f64 d)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 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 #s(approx (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (.f64 (.f64 (.f64 M M) (/.f64 (fabs.f64 d) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (.f64 d d)))) #s(literal 1/8 binary64))) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(approx ( (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (.f64 (.f64 M M) (/.f64 (fabs.f64 d) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))))) #s(literal -1/8 binary64)) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 #s(approx (* (/ (fabs d) (sqrt (* h l))) h) (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 l h)))) (.f64 M (/.f64 M (.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64)) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx ( (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) (.f64 (fabs.f64 d) h)) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (*.f64 l h)))) #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 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) (fabs.f64 d))) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (.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)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (.f64 (/.f64 (.f64 (.f64 (.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (.f64 M M)) (.f64 D D)) (.f64 (.f64 l l) (.f64 d d))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 h (/.f64 (fabs.f64 d) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (.f64 l h)))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (fabs.f64 d)) (.f64 D D)) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (.f64 l h)))) #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)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 d))) (sqrt.f64 (sqrt.f64 (fabs.f64 d)))) (.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 d))) (sqrt.f64 (sqrt.f64 (fabs.f64 d))))) (sqrt.f64 (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) h) (.f64 M (/.f64 M (.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64)) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (fabs.f64 d) h) (sqrt.f64 (.f64 l h))) M) (/.f64 M (.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (fabs.f64 d) h) (.f64 M (/.f64 M (.f64 d d)))) (.f64 (sqrt.f64 (*.f64 l h)) l)) #s(literal -1/8 binary64)) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h)))) (.f64 D D)) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))

Outputs

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

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

Calls

2 calls:

11.0ms	M
11.0ms	l

Results

Accuracy	Segments	Branch
53.6%	5	`l`
57.7%	2	`M`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes13.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms 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)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d 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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 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 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (.f64 (neg.f64 (fabs.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)))) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (neg.f64 (sqrt.f64 (.f64 d d))) (sqrt.f64 (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 #s(approx (/ (* (fabs d) h) (sqrt (* l h))) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (.f64 (.f64 h d) d) l)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (fabs.f64 d) h) (sqrt.f64 (.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d))) (sqrt.f64 (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (neg.f64 (.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d)))) (sqrt.f64 (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt ( (* h d) (/ d l))) (.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (.f64 l h))) h)) (/.f64 #s(literal 1 binary64) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (.f64 (.f64 (neg.f64 (fabs.f64 d)) h) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 h d) (*.f64 l 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 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 d d)) h) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (.f64 (.f64 h (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d))) h) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (.f64 (.f64 (.f64 D D) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 M M)) (.f64 l d))) #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 (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h l)) h)) (*.f64 l d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx ( (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) (fabs.f64 d)) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 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 #s(approx (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) (.f64 (.f64 (.f64 M M) (/.f64 (fabs.f64 d) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (.f64 d d)))) #s(literal 1/8 binary64))) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(approx ( (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) (.f64 (.f64 M M) (/.f64 (fabs.f64 d) (.f64 (.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))))) #s(literal -1/8 binary64)) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 #s(approx (* (/ (fabs d) (sqrt (* h l))) h) (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 l h)))) (.f64 M (/.f64 M (.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64)) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx ( (* (* (* (/ (fabs d) (sqrt (* h l))) h) (* M (/ M (* (* d d) l)))) -1/8) D) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) (.f64 (fabs.f64 d) h)) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (*.f64 l h)))) #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 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) (fabs.f64 d))) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (.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)))) #s(approx (/ (+ (* (/ (* (* (* (* (* (sqrt (* (* h d) (/ d l))) h) M) M) D) D) (* (* d d) l)) -1/8) (sqrt (* (* h d) (/ d l)))) h) (.f64 (/.f64 (.f64 (.f64 (.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (.f64 M M)) (.f64 D D)) (.f64 (.f64 l l) (.f64 d d))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 h (/.f64 (fabs.f64 d) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (.f64 l h)))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (fabs.f64 d)) (.f64 D D)) (.f64 (.f64 (.f64 d d) l) (sqrt.f64 (.f64 l h)))) #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)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 d))) (sqrt.f64 (sqrt.f64 (fabs.f64 d)))) (.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 d))) (sqrt.f64 (sqrt.f64 (fabs.f64 d))))) (sqrt.f64 (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) h) (.f64 M (/.f64 M (.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64)) D) D))

Outputs

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
57.5%	2	`M`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes12.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
57.3%	2	`M`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes38.0ms (0.3%)

Memory

-36.0MiB live, 64.8MiB allocated; 19ms collecting garbage

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

16.0ms	M
10.0ms	(*.f64 M D)
9.0ms	h

Results

Accuracy	Segments	Branch
54.3%	2	`(*.f64 M D)`
52.3%	3	`h`
56.2%	2	`M`

Compiler

Compiled 5 to 16 computations (-220% saved)

regimes50.0ms (0.4%)

Memory

-0.4MiB live, 89.1MiB allocated; 10ms collecting garbage

Counts

32 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

12.0ms	D
12.0ms	d
8.0ms	M
8.0ms	(*.f64 M D)
7.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
44.9%	2	`D`
49.9%	2	`(*.f64 M D)`
52.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
46.3%	2	`d`
53.4%	3	`M`

Compiler

Compiled 37 to 43 computations (-16.2% saved)

regimes8.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
52.0%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 31 to 22 computations (29% saved)

regimes47.0ms (0.4%)

Memory

-19.3MiB live, 79.8MiB allocated; 10ms collecting garbage

Counts

26 → 3

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	M
8.0ms	d
7.0ms	h
7.0ms	l
6.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
43.0%	1	`d`
46.3%	3	`l`
45.1%	2	`(*.f64 M D)`
47.6%	3	`h`
44.7%	2	`M`
45.3%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 48 computations (-26.3% saved)

regimes3.0ms (0%)

Memory

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

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
47.5%	3	`h`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes2.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
45.5%	2	`h`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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)))) #s(approx (/ (sqrt (* (* h d) (/ d l))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))

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

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

Outputs

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

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

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
45.3%	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))))`
43.0%	1	`h`

Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes7.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
43.0%	1	`d`
43.0%	1	`h`
43.0%	1	`l`
43.0%	1	`M`
43.0%	1	`D`
43.0%	1	`(*.f64 M D)`
43.0%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 39 to 53 computations (-35.9% saved)

bsearch62.0ms (0.5%)

Memory

1.4MiB live, 89.8MiB allocated; 14ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-failed

Steps

Time	Left	Right
39.0ms	1.9034327912735224e+121	4.382098884655669e+122
16.0ms	-6.6855142775576425e-31	-2.002626036782855e-47

Samples

25.0ms	211×	0	invalid
19.0ms	112×	0	valid

Compiler

Compiled 479 to 415 computations (13.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult!: 12.0ms (39.3% of total)

ival-pow: 8.0ms (26.2% of total)

ival-div!: 7.0ms (23% of total)

ival-pow2: 3.0ms (9.8% of total)

ival-sub!: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory

-27.1MiB live, 23.0MiB allocated; 18ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-failed

Steps

Time	Left	Right
1.0ms	1.9034327912735224e+121	4.382098884655669e+122
27.0ms	-6.6855142775576425e-31	-2.002626036782855e-47

Samples

24.0ms

101×

invalid

Compiler

Compiled 472 to 450 computations (4.7% saved)

Precisions

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

ival-div!: 2.0ms (30.4% of total)

ival-mult!: 2.0ms (30.4% of total)

ival-pow: 1.0ms (15.2% of total)

ival-pow2: 1.0ms (15.2% of total)

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

adjust: 0.0ms (0% of total)

bsearch67.0ms (0.6%)

Memory

12.7MiB live, 57.9MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
63.0ms	346962749.84996134	300973060944.67236

Samples

47.0ms	95×	0	invalid
10.0ms	80×	0	valid

Compiler

Compiled 363 to 345 computations (5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-sub!: 37.0ms (73.1% of total)

ival-pow: 5.0ms (9.9% of total)

ival-div!: 4.0ms (7.9% of total)

ival-mult!: 4.0ms (7.9% of total)

ival-pow2: 2.0ms (4% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5600093568169956e-79	6.015897760782365e-73
0.0ms	-inf	-4.0610549675844566e+306

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-4.0610549675844566e+306

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-4.0610549675844566e+306

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch34.0ms (0.3%)

Memory

24.1MiB live, 67.3MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
30.0ms	4.621746423863152e+143	2.7560726020469764e+144

Samples

11.0ms	120×	0	invalid
10.0ms	80×	0	valid

Compiler

Compiled 338 to 335 computations (0.9% saved)

Precisions

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

ival-div!: 4.0ms (28% of total)

ival-mult!: 4.0ms (28% of total)

ival-pow: 3.0ms (21% of total)

ival-pow2: 2.0ms (14% of total)

ival-sub!: 1.0ms (7% of total)

adjust: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Memory

-44.2MiB live, 2.1MiB allocated; 4ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.6261131678890757e+130	7.868078164237883e+130
0.0ms	2.642695332200751e-163	6.976803923888222e-160

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5600093568169956e-79	6.015897760782365e-73
0.0ms	-2.4430089205754476e-214	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (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	-2.4430089205754476e-214	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch36.0ms (0.3%)

Memory

32.7MiB live, 32.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	1.822949849584e-24	5.305984475098362e-23

Samples

13.0ms	112×	0	valid
10.0ms	110×	0	invalid

Compiler

Compiled 556 to 527 computations (5.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult!: 5.0ms (31% of total)

ival-pow: 4.0ms (24.8% of total)

ival-div!: 4.0ms (24.8% of total)

ival-pow2: 2.0ms (12.4% of total)

ival-sub!: 1.0ms (6.2% of total)

adjust: 0.0ms (0% of total)

bsearch74.0ms (0.6%)

Memory

-23.1MiB live, 30.7MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
71.0ms	4.445194971011453e-31	2.1734021157883283e-30

Samples

12.0ms	96×	0	valid
6.0ms	65×	0	invalid

Compiler

Compiled 452 to 420 computations (7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-pow: 4.0ms (31% of total)

ival-div!: 3.0ms (23.3% of total)

ival-mult!: 3.0ms (23.3% of total)

ival-pow2: 2.0ms (15.5% of total)

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

adjust: 0.0ms (0% of total)

bsearch127.0ms (1.1%)

Memory

30.6MiB live, 75.3MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
121.0ms	2.086746879705751e-34	4.445194971011453e-31

Samples

95.0ms	161×	0	invalid
16.0ms	128×	0	valid

Compiler

Compiled 630 to 598 computations (5.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-pow2: 84.0ms (82.6% of total)

ival-div!: 6.0ms (5.9% of total)

ival-mult!: 6.0ms (5.9% of total)

ival-pow: 5.0ms (4.9% of total)

ival-sub!: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory

-39.6MiB live, 3.3MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.086746879705751e-34	4.445194971011453e-31

Compiler

Compiled 630 to 598 computations (5.1% saved)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.086746879705751e-34	4.445194971011453e-31

Compiler

Compiled 630 to 598 computations (5.1% saved)

bsearch2.0ms (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	2.086746879705751e-34	4.445194971011453e-31

Compiler

Compiled 742 to 710 computations (4.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.1766575896521495e-181	-2.4430089205754476e-214

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.4430089205754476e-214	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch84.0ms (0.7%)

Memory

7.5MiB live, 154.4MiB allocated; 33ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-failed

Steps

Time	Left	Right
59.0ms	6.662154951950334e+54	7.44460987690501e+64
14.0ms	-3.1963057274099954e+196	-1.5695864649629308e+190

Samples

39.0ms	240×	0	invalid
21.0ms	160×	0	valid

Compiler

Compiled 688 to 650 computations (5.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult!: 23.0ms (49.2% of total)

ival-pow: 10.0ms (21.4% of total)

ival-div!: 8.0ms (17.1% of total)

ival-pow2: 4.0ms (8.6% of total)

ival-sub!: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

bsearch83.0ms (0.7%)

Memory

8.9MiB live, 54.2MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-failed

Steps

Time	Left	Right
65.0ms	3.540563147835092e+69	6.29429738024541e+69
13.0ms	-3.1963057274099954e+196	-1.5695864649629308e+190

Samples

18.0ms	177×	0	invalid
8.0ms	64×	0	valid

Compiler

Compiled 318 to 294 computations (7.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pow: 5.0ms (27.7% of total)

ival-div!: 5.0ms (27.7% of total)

ival-mult!: 5.0ms (27.7% of total)

ival-pow2: 2.0ms (11.1% of total)

ival-sub!: 1.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.540563147835092e+69	6.29429738024541e+69

Compiler

Compiled 318 to 294 computations (7.5% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.4430089205754476e-214	0.0

Compiler

Compiled 34 to 30 computations (11.8% saved)

derivations668.0ms (5.8%)

Memory

2.7MiB live, 612.3MiB allocated; 75ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 590 to 303 computations (48.6% saved)

preprocess794.0ms (6.8%)

Memory

-41.8MiB live, 1 333.6MiB allocated; 254ms collecting garbage

Remove

(sort M D)

(abs D)

(abs M)

(abs d)

Compiler

Compiled 24 371 to 17 933 computations (26.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze515.0ms (4.4%)

sample5.1s (44.3%)

preprocess58.0ms (0.5%)

series81.0ms (0.7%)

rewrite191.0ms (1.6%)

eval34.0ms (0.3%)

prune23.0ms (0.2%)

series299.0ms (2.6%)

rewrite192.0ms (1.7%)

eval103.0ms (0.9%)

prune66.0ms (0.6%)

series122.0ms (1.1%)

rewrite176.0ms (1.5%)

eval106.0ms (0.9%)

prune104.0ms (0.9%)

series188.0ms (1.6%)

rewrite658.0ms (5.7%)

eval75.0ms (0.6%)

prune116.0ms (1%)

regimes218.0ms (1.9%)

regimes44.0ms (0.4%)

regimes44.0ms (0.4%)

regimes47.0ms (0.4%)

regimes62.0ms (0.5%)

regimes46.0ms (0.4%)

regimes179.0ms (1.5%)

regimes81.0ms (0.7%)

regimes43.0ms (0.4%)

regimes83.0ms (0.7%)

regimes124.0ms (1.1%)

regimes16.0ms (0.1%)

regimes46.0ms (0.4%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes38.0ms (0.3%)

regimes50.0ms (0.4%)

regimes8.0ms (0.1%)

regimes47.0ms (0.4%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

bsearch62.0ms (0.5%)

bsearch31.0ms (0.3%)

bsearch67.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch34.0ms (0.3%)

bsearch46.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch36.0ms (0.3%)

bsearch74.0ms (0.6%)

bsearch127.0ms (1.1%)

bsearch15.0ms (0.1%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch84.0ms (0.7%)

bsearch83.0ms (0.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations668.0ms (5.8%)

preprocess794.0ms (6.8%)

end0.0ms (0%)

Profiling