Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze568.0ms (3.5%)

Memory

23.5MiB live, 972.7MiB allocated; 142ms 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)

sample6.4s (39.6%)

Memory

9.9MiB live, 7 880.2MiB allocated; 2.7s collecting garbage

Samples

3.0s	13 137×	0	invalid
1.9s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.9s

ival-div: 1.1s (27.3% of total)

ival-mult: 945.0ms (24.3% of total)

ival-pow2: 893.0ms (23% of total)

ival-pow: 817.0ms (21% of total)

ival-sub: 117.0ms (3% of total)

exact: 22.0ms (0.6% of total)

ival-true: 16.0ms (0.4% of total)

adjust: 8.0ms (0.2% of total)

ival-assert: 8.0ms (0.2% of total)

Bogosity

explain431.0ms (2.7%)

Memory

-2.9MiB live, 752.8MiB allocated; 101ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
67	-	3	(-3.4121401882544044e-118 -1.100090624711535e+206 -2.7948091393947565e+232 0.001569045866710421 6.614042857315043e-248)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
63	-	1	(6.604893129383524e-302 3.9040373109193343e-143 6.541512344200535e+19 -27972413066634.367 -7.853953223759434e-236)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
42	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
26	-	2	(3.4446118801948524e-147 2.802036918977624e+59 1.0816697944125612e+288 -6.59846025127795e+153 -2.5675759250389054e-75)	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
24	-	2	(7.256819266337456e-88 2.9846796382975844e-69 4.2544783323535815e+192 -3.869471247865912e-268 -6.3388180135388425e-56)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.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))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	32	0
↳	`(/.f64 d h)`	overflow	32
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	32	0
↳	`(/.f64 d l)`	overflow	32
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	32	0
↳	`(/.f64 d h)`	underflow	32
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	30	0
↳	`(/.f64 d l)`	underflow	30
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	16	0
`*.f64`	`(.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))))`	*uo**	13	0
↳	`(/.f64 d h)`	underflow	32
↳	`(/.f64 d l)`	underflow	30
↳	`(*.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))))`	underflow	20
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	81
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	81
↳	`(/.f64 h l)`	overflow	33
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	86
↳	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	overflow	86
↳	`(*.f64 M D)`	overflow	37
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	47
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	12	0
↳	`(*.f64 M D)`	overflow	37
`*.f64`	`(.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))))`	*no**	8	0
`*.f64`	`(.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))))`	*nu**	3	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	81
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	81
↳	`(*.f64 M D)`	overflow	37
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	47
↳	`(/.f64 h l)`	underflow	28
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	85
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	85
↳	`(*.f64 M D)`	underflow	30
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	38
↳	`(/.f64 h l)`	overflow	33

Confusion

	Predicted +	Predicted -
+	86	3
-	34	133

Precision

0.7166666666666667

Recall

0.9662921348314607

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	86	0	3
-	34	0	133

Precision?

0.7166666666666667

Recall?

0.9662921348314607

Freqs

test

number	freq
0	136
1	73
2	34
3	12
4	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

191.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 33.0ms (30.4% of total)

ival-sub: 30.0ms (27.6% of total)

ival-pow: 20.0ms (18.4% of total)

ival-div: 19.0ms (17.5% of total)

ival-pow2: 6.0ms (5.5% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess196.0ms (1.2%)

Memory

24.9MiB live, 168.2MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	514	553
2	1813	548
3	4797	548
0	22	29
0	38	27
1	67	27
2	170	27
3	1133	27
4	3660	27
5	6066	27
0	8129	26

Stop Event

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

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))))

Outputs

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

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

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

66.7%

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify0.0ms (0%)

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

series99.0ms (0.6%)

Memory

-14.6MiB live, 173.1MiB allocated; 27ms collecting garbage

Counts

22 → 45

Calls

Call 1

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

Outputs
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d h))
(/ d h)
d
(sqrt (/ d l))
(/ d l)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(* 2 d)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
h
(/ h l)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
l
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* D M)
M
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
D
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))

Calls

15 calls:

Time	Variable		Point	Expression
25.0ms	D	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
13.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
10.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
7.0ms	M	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
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))

simplify141.0ms (0.9%)

Memory

25.7MiB live, 205.1MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	688
1	465	647
2	1848	628
3	6380	627
0	8670	611

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 40

Calls

Call 1

Inputs
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d h))
(/ d h)
d
(sqrt (/ d l))
(/ d l)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(* 2 d)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
h
(/ h l)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
l
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* D M)
M
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
D
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))

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

rewrite211.0ms (1.3%)

Memory

-12.9MiB live, 360.6MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	110	124
2	610	124
3	7914	124
0	8022	122

Stop Event

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

Counts

22 → 956

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
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (fma.f64 (pow.f64 (.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) (fma.f64 (.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(fma.f64 (.f64 #s(literal -2 binary64) d) d (.f64 #s(literal -2 binary64) d))
(fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 d) d) (.f64 #s(literal -2 binary64) d))
(fma.f64 #s(literal 2 binary64) (.f64 d d) (.f64 #s(literal -2 binary64) d))
(fma.f64 #s(literal 2 binary64) (neg.f64 d) (*.f64 #s(literal -2 binary64) d))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) d) (.f64 #s(literal -2 binary64) d))
(fma.f64 #s(literal 2 binary64) d (*.f64 #s(literal -2 binary64) d))
(fma.f64 d #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) d))
(fma.f64 d (neg.f64 d) (*.f64 (neg.f64 d) d))
(fma.f64 d (.f64 #s(literal -2 binary64) d) (.f64 #s(literal -2 binary64) d))
(fma.f64 d #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) d))
(fma.f64 d d (*.f64 d d))
(-.f64 (/.f64 (.f64 d d) #s(literal 0 binary64)) (/.f64 (.f64 d d) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (fma.f64 d d #s(literal 0 binary64))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (fma.f64 d d #s(literal 0 binary64))))
(+.f64 (.f64 (neg.f64 d) d) (.f64 (neg.f64 d) d))
(+.f64 (.f64 d d) (.f64 d d))
(+.f64 (neg.f64 d) (neg.f64 d))
(+.f64 (.f64 #s(literal -2 binary64) d) (.f64 #s(literal -2 binary64) d))
(+.f64 d d)
(*.f64 (/.f64 h l) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 h l))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 h)) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) h) l)
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 h) l)))
(neg.f64 (/.f64 (neg.f64 h) l))

eval139.0ms (0.9%)

Memory: 35.5MiB live, 363.4MiB allocated; 37ms collecting garbage
Compiler: Compiled 41 309 to 4 559 computations (89% saved)

prune53.0ms (0.3%)

Memory

-6.5MiB live, 142.8MiB allocated; 6ms collecting garbage

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	967	36	1 003
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	968	36	1 004

Accuracy

91.8%

Counts

1 004 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.9%	(fma.f64 (/.f64 h l) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) d)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	21.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
▶	34.7%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	21.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	30.9%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	39.2%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	48.4%	(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
	38.8%	(.f64 (pow.f64 (.f64 (.f64 (/.f64 d l) (/.f64 d h)) (.f64 (/.f64 d l) (/.f64 d h))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.5%	(.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.5%	(.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 d)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.0%	(.f64 (/.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d))) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	32.1%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d l) d)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	28.1%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	50.1%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	48.6%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	55.9%	(.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 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 d d))))
▶	66.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	58.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (fma.f64 (.f64 d d) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) d))) #s(literal 2 binary64))) (/.f64 h l))))
	52.3%	(.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 (*.f64 d d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l))))
	65.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (/.f64 D d) M) (*.f64 (/.f64 D d) M)) #s(literal 4 binary64))) (/.f64 h l))))
	49.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)))))
	48.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 h (/.f64 (.f64 D D) d))) (*.f64 M M) #s(literal 1 binary64))))
	23.4%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))))
	39.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	34.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	53.5%	(.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))))
	37.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	21.9%	#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 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	38.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	20.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 D D)))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d))
▶	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	14.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))

Compiler

Compiled 2 926 to 1 986 computations (32.1% saved)

simplify0.0ms (0%)

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

series218.0ms (1.4%)

Memory

-52.3MiB live, 328.0MiB allocated; 56ms collecting garbage

Counts

73 → 147

Calls

Call 1

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

Outputs
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d h))
(/ d h)
d
(sqrt (/ d l))
(/ d l)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ D d))
(/ D d)
(* 1/4 (/ (* D M) d))
(/ M d)
(/ (pow d 2) (* h l))
(* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(* 2 d)
(* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3)))))
(+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (pow l 3)))))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (pow l 3))))) (* d (sqrt (/ 1 l))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* d (pow l 3))))))
(/ (+ (sqrt (/ (pow d 3) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) d)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(/ (+ d (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)
(* 1/4 (/ (* (pow D 2) (pow M 2)) d))
(sqrt d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* (pow d 2) (sqrt (/ 1 (* (pow h 3) l))))) d)
(* -1/8 (/ (* (pow D 2) (pow M 2)) d))
(/ (pow D 2) d)
(* d (sqrt (/ 1 (* (pow h 3) l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
(* d (sqrt (/ 1 l)))
(* d (+ (sqrt (/ 1 l)) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) h)) d) (sqrt (/ 1 (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(* d (+ (sqrt (/ 1 (* (pow h 3) l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ 1 (* h (pow l 3))))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) d) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* (pow h 3) l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ 1 (* h (pow l 3)))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
h
(/ (* M h) l)
(/ h l)
(sqrt (/ 1 (* h l)))
(/ 1 (* h l))
(* h l)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* d (pow l 3)))))))
(* -1/2 (/ h l))
(sqrt h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) (pow h 2))
(sqrt (/ 1 (* h (pow l 3))))
(/ 1 (* h (pow l 3)))
(* h (pow l 3))
(sqrt (/ 1 (* (pow h 3) l)))
(/ 1 (* (pow h 3) l))
(* (pow h 3) l)
(pow h 3)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (pow l 3))))) (* (/ d h) (sqrt (/ 1 l)))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* d (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* d l))) (/ 1 h)))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (/ d h) (sqrt (/ 1 l)))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (pow l 3))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* d (pow l 3)))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* d l))) (/ 1 h))))
(* -1 (* (sqrt h) (pow (sqrt -1) 2)))
(* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))
(+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))
(* (sqrt (/ 1 (* h (pow l 3)))) (pow (sqrt -1) 2))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))
(* -1 (* (sqrt (/ 1 (* (pow h 3) l))) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
l
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt l))) (* d (sqrt (pow l 3)))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l d))))) (pow l 2))
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ l h)))) (* d (sqrt (/ (pow l 3) (pow h 3))))) (pow l 2))
(pow l 3)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 l)))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 l))))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* d (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))
(* -1 (* (sqrt (/ 1 (* h (pow l 3)))) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 (* (pow h 3) l))) (pow (sqrt -1) 2))
M
(* D M)
(* 1/4 (* (pow D 2) (pow M 2)))
(* 1/2 (* D M))
(* 1/2 M)
(* -1/8 (pow M 2))
(pow M 2)
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (+ (* -1/8 (* (pow D 2) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* d (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* d l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* (pow h 3) l))))))
D
(* 1/4 D)
(* 1/2 D)
(pow D 2)
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (* (pow M 2) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* d (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* d l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* (pow h 3) l))))))

Calls

15 calls:

Time	Variable		Point	Expression
37.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d)))) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ (/ D d) 2) (* M (/ h l))) (/ (/ D d) 2) (/ D d) D (* M (/ h l)) M (/ h l) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) -1/2 (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (* (/ M 2) D) (/ M 2) (sqrt (/ d l)) (sqrt d) (sqrt h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* -1/8 (* M M)) -1/8 (* M M) (/ (* D D) d) (* D D) (sqrt (/ 1 (* (pow l 3) h))) (/ 1 (* (pow l 3) h)) (* (pow l 3) h) (pow l 3) 3 (* (sqrt (/ 1 (* (pow h 3) l))) d) (sqrt (/ 1 (* (pow h 3) l))) (/ 1 (* (pow h 3) l)) (* (pow h 3) l) (pow h 3))
24.0ms	l	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d)))) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ (/ D d) 2) (* M (/ h l))) (/ (/ D d) 2) (/ D d) D (* M (/ h l)) M (/ h l) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) -1/2 (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (* (/ M 2) D) (/ M 2) (sqrt (/ d l)) (sqrt d) (sqrt h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* -1/8 (* M M)) -1/8 (* M M) (/ (* D D) d) (* D D) (sqrt (/ 1 (* (pow l 3) h))) (/ 1 (* (pow l 3) h)) (* (pow l 3) h) (pow l 3) 3 (* (sqrt (/ 1 (* (pow h 3) l))) d) (sqrt (/ 1 (* (pow h 3) l))) (/ 1 (* (pow h 3) l)) (* (pow h 3) l) (pow h 3))
16.0ms	D	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d)))) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ (/ D d) 2) (* M (/ h l))) (/ (/ D d) 2) (/ D d) D (* M (/ h l)) M (/ h l) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) -1/2 (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (* (/ M 2) D) (/ M 2) (sqrt (/ d l)) (sqrt d) (sqrt h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* -1/8 (* M M)) -1/8 (* M M) (/ (* D D) d) (* D D) (sqrt (/ 1 (* (pow l 3) h))) (/ 1 (* (pow l 3) h)) (* (pow l 3) h) (pow l 3) 3 (* (sqrt (/ 1 (* (pow h 3) l))) d) (sqrt (/ 1 (* (pow h 3) l))) (/ 1 (* (pow h 3) l)) (* (pow h 3) l) (pow h 3))
15.0ms	M	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d)))) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ (/ D d) 2) (* M (/ h l))) (/ (/ D d) 2) (/ D d) D (* M (/ h l)) M (/ h l) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) -1/2 (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (* (/ M 2) D) (/ M 2) (sqrt (/ d l)) (sqrt d) (sqrt h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* -1/8 (* M M)) -1/8 (* M M) (/ (* D D) d) (* D D) (sqrt (/ 1 (* (pow l 3) h))) (/ 1 (* (pow l 3) h)) (* (pow l 3) h) (pow l 3) 3 (* (sqrt (/ 1 (* (pow h 3) l))) d) (sqrt (/ 1 (* (pow h 3) l))) (/ 1 (* (pow h 3) l)) (* (pow h 3) l) (pow h 3))
14.0ms	l	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d)))) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ (/ D d) 2) (* M (/ h l))) (/ (/ D d) 2) (/ D d) D (* M (/ h l)) M (/ h l) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) -1/2 (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (* (/ M 2) D) (/ M 2) (sqrt (/ d l)) (sqrt d) (sqrt h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* -1/8 (* M M)) -1/8 (* M M) (/ (* D D) d) (* D D) (sqrt (/ 1 (* (pow l 3) h))) (/ 1 (* (pow l 3) h)) (* (pow l 3) h) (pow l 3) 3 (* (sqrt (/ 1 (* (pow h 3) l))) d) (sqrt (/ 1 (* (pow h 3) l))) (/ 1 (* (pow h 3) l)) (* (pow h 3) l) (pow h 3))

simplify186.0ms (1.2%)

Memory

6.3MiB live, 235.5MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	2619
1	1352	2420
2	5430	2404
0	8493	2346

Stop Event

1×	iter limit
1×	node limit

Counts

147 → 142

Calls

Call 1

Inputs
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d h))
(/ d h)
d
(sqrt (/ d l))
(/ d l)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ D d))
(/ D d)
(* 1/4 (/ (* D M) d))
(/ M d)
(/ (pow d 2) (* h l))
(* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(* 2 d)
(* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3)))))
(+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (pow l 3)))))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (pow l 3))))) (* d (sqrt (/ 1 l))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* d (pow l 3))))))
(/ (+ (sqrt (/ (pow d 3) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) d)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(/ (+ d (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)
(* 1/4 (/ (* (pow D 2) (pow M 2)) d))
(sqrt d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* (pow d 2) (sqrt (/ 1 (* (pow h 3) l))))) d)
(* -1/8 (/ (* (pow D 2) (pow M 2)) d))
(/ (pow D 2) d)
(* d (sqrt (/ 1 (* (pow h 3) l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
(* d (sqrt (/ 1 l)))
(* d (+ (sqrt (/ 1 l)) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) h)) d) (sqrt (/ 1 (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(* d (+ (sqrt (/ 1 (* (pow h 3) l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ 1 (* h (pow l 3))))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) d) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* (pow h 3) l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ 1 (* h (pow l 3)))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
h
(/ (* M h) l)
(/ h l)
(sqrt (/ 1 (* h l)))
(/ 1 (* h l))
(* h l)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* d (pow l 3)))))))
(* -1/2 (/ h l))
(sqrt h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) (pow h 2))
(sqrt (/ 1 (* h (pow l 3))))
(/ 1 (* h (pow l 3)))
(* h (pow l 3))
(sqrt (/ 1 (* (pow h 3) l)))
(/ 1 (* (pow h 3) l))
(* (pow h 3) l)
(pow h 3)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (pow l 3))))) (* (/ d h) (sqrt (/ 1 l)))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* d (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* d l))) (/ 1 h)))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (/ d h) (sqrt (/ 1 l)))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (pow l 3))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* d (pow l 3)))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* d l))) (/ 1 h))))
(* -1 (* (sqrt h) (pow (sqrt -1) 2)))
(* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))
(+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))
(* (sqrt (/ 1 (* h (pow l 3)))) (pow (sqrt -1) 2))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))
(* -1 (* (sqrt (/ 1 (* (pow h 3) l))) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
l
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt l))) (* d (sqrt (pow l 3)))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l d))))) (pow l 2))
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ l h)))) (* d (sqrt (/ (pow l 3) (pow h 3))))) (pow l 2))
(pow l 3)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 l)))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 l))))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* d (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))
(* -1 (* (sqrt (/ 1 (* h (pow l 3)))) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 (* (pow h 3) l))) (pow (sqrt -1) 2))
M
(* D M)
(* 1/4 (* (pow D 2) (pow M 2)))
(* 1/2 (* D M))
(* 1/2 M)
(* -1/8 (pow M 2))
(pow M 2)
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (+ (* -1/8 (* (pow D 2) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* d (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* d l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* (pow h 3) l))))))
D
(* 1/4 D)
(* 1/2 D)
(pow D 2)
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (* (pow M 2) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* d (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* d l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* (pow h 3) l))))))

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

rewrite291.0ms (1.8%)

Memory

-21.5MiB live, 366.7MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	663
0	152	667
1	414	603
2	2306	579
0	8158	573

Stop Event

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

Counts

73 → 1 523

Calls

Call 1

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

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

eval396.0ms (2.5%)

Memory: 6.8MiB live, 287.7MiB allocated; 37ms collecting garbage
Compiler: Compiled 93 037 to 9 222 computations (90.1% saved)

prune133.0ms (0.8%)

Memory

30.3MiB live, 168.3MiB allocated; 8ms collecting garbage

Pruning

53 alts after pruning (52 fresh and 1 done)

	Pruned	Kept	Total
New	1 821	43	1 864
Fresh	22	9	31
Picked	4	1	5
Done	0	0	0
Total	1 847	53	1 900

Accuracy

94.7%

Counts

1 900 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.9%	(fma.f64 (/.f64 h l) (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) d)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	21.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	21.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	30.8%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) M) M)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	30.7%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 h (.f64 D (/.f64 D d)))) (.f64 M M) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	15.5%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (*.f64 M (/.f64 M d))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	29.8%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (*.f64 M M) l) d)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	24.7%	(/.f64 #s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) d)) (sqrt.f64 h))
	3.6%	(/.f64 #s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
	41.0%	(.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	38.7%	(.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	30.1%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d l) (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	37.1%	(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
▶	65.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	55.9%	(.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 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 d d))))
▶	67.5%	(.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 (.f64 (/.f64 h l) M) D) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	62.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M h) D) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	58.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (fma.f64 (.f64 d d) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) d))) #s(literal 2 binary64))) (/.f64 h l))))
	52.3%	(.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 (*.f64 d d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l))))
	49.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)))))
	25.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d)))) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M (/.f64 M d)) d)))))
	34.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	39.8%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	66.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	33.0%	(.f64 (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d (.f64 l h)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	53.1%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	45.8%	(.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)) (/.f64 (.f64 (.f64 (neg.f64 M) D) (.f64 M D)) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 #s(literal 2 binary64) d)))) (/.f64 h l))))
▶	42.7%	(.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)) #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) d) (.f64 M (/.f64 M d))))) (/.f64 h l))))
	52.7%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) D) d) (/.f64 M #s(literal 2 binary64))) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))))
	40.6%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M (/.f64 M d)) d))) (/.f64 h l))))
	51.4%	(.f64 (sqrt.f64 (.f64 d (/.f64 d (.f64 l h)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	31.0%	#s(approx (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	25.1%	#s(approx (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	24.1%	#s(approx (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	25.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (fma.f64 (.f64 (.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	42.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 M d))))) h))
	17.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (.f64 (.f64 (.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 D D))))
	38.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	26.6%	#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 d #s(literal 1 binary64)) (sqrt.f64 (.f64 l h))))
	26.6%	#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 (pow.f64 l #s(literal -3/2 binary64)) (/.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (.f64 (pow.f64 h #s(literal -3/2 binary64)) (/.f64 d (sqrt.f64 l)))) h))
	29.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) D) (/.f64 D d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	26.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
	25.4%	#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 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
▶	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
✓	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	27.2%	#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 (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 M d))))) (.f64 l l))) h))
	26.8%	#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 (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (.f64 (.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) h)) (*.f64 D D)))) h))
▶	13.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))

Compiler

Compiled 4 776 to 3 260 computations (31.7% saved)

simplify0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

series223.0ms (1.4%)

Memory

-22.9MiB live, 173.4MiB allocated; 14ms collecting garbage

Counts

65 → 107

Calls

Call 1

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

Outputs
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d h))
(/ d h)
d
(sqrt (/ d l))
(/ d l)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 2 d)
(* 1/4 (/ (* D M) d))
(/ M d)
(/ (pow d 2) (* h l))
(* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (pow D 2) d))
(/ (pow M 2) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* (pow d 2) (sqrt (/ 1 (* (pow h 3) l))))) d)
(* -1 (* d (sqrt (/ 1 (* (pow h 3) l)))))
(* -1 d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ D d))
(/ D d)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* d (sqrt (/ 1 (* (pow h 3) l))))
(* d (+ (sqrt (/ 1 (* (pow h 3) l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ 1 (* h (pow l 3))))))))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* (pow h 3) l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
h
(/ (* D (* M h)) l)
(/ (* M h) l)
(/ h l)
(sqrt (/ 1 (* h l)))
(sqrt (* h l))
(* h l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) (pow h 2))
(sqrt (/ 1 (* (pow h 3) l)))
(/ 1 (* (pow h 3) l))
(* (pow h 3) l)
(pow h 3)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))
(+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))
(* -1 (* (sqrt (/ 1 (* (pow h 3) l))) (pow (sqrt -1) 2)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
l
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ l h)))) (* d (sqrt (/ (pow l 3) (pow h 3))))) (pow l 2))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))
(* (sqrt (/ 1 (* (pow h 3) l))) (pow (sqrt -1) 2))
M
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* (pow h 3) l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
D
(* 1/4 D)
(* 1/2 D)
(* 1/4 (pow D 2))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* (pow h 3) l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))

Calls

15 calls:

Time	Variable		Point	Expression
39.0ms	d	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d)))) (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))) (/ (* (* (/ h l) M) D) (* 2 d)) (* (* (/ h l) M) D) (* (/ h l) M) (/ h l) M D (* 2 d) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 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) (* (/ (* (* 1/4 D) D) d) (* M (/ M d))) (/ (* (* 1/4 D) D) d) (* (* 1/4 D) D) (* 1/4 D) 1/4 (* M (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ 1 (* (pow h 3) l)))) (neg d) (sqrt (/ 1 (* (pow h 3) l))) (/ 1 (* (pow h 3) l)) (* (pow h 3) l) (pow h 3) 3 (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) -1/2 (pow (* M (/ (/ D d) 2)) 2) (* M (/ (/ D d) 2)) (/ (/ D d) 2) (/ D d) (sqrt (/ d h)) (sqrt (/ d l)))
35.0ms	M	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d)))) (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))) (/ (* (* (/ h l) M) D) (* 2 d)) (* (* (/ h l) M) D) (* (/ h l) M) (/ h l) M D (* 2 d) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 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) (* (/ (* (* 1/4 D) D) d) (* M (/ M d))) (/ (* (* 1/4 D) D) d) (* (* 1/4 D) D) (* 1/4 D) 1/4 (* M (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ 1 (* (pow h 3) l)))) (neg d) (sqrt (/ 1 (* (pow h 3) l))) (/ 1 (* (pow h 3) l)) (* (pow h 3) l) (pow h 3) 3 (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) -1/2 (pow (* M (/ (/ D d) 2)) 2) (* M (/ (/ D d) 2)) (/ (/ D d) 2) (/ D d) (sqrt (/ d h)) (sqrt (/ d l)))
27.0ms	D	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d)))) (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))) (/ (* (* (/ h l) M) D) (* 2 d)) (* (* (/ h l) M) D) (* (/ h l) M) (/ h l) M D (* 2 d) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 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) (* (/ (* (* 1/4 D) D) d) (* M (/ M d))) (/ (* (* 1/4 D) D) d) (* (* 1/4 D) D) (* 1/4 D) 1/4 (* M (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ 1 (* (pow h 3) l)))) (neg d) (sqrt (/ 1 (* (pow h 3) l))) (/ 1 (* (pow h 3) l)) (* (pow h 3) l) (pow h 3) 3 (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) -1/2 (pow (* M (/ (/ D d) 2)) 2) (* M (/ (/ D d) 2)) (/ (/ D d) 2) (/ D d) (sqrt (/ d h)) (sqrt (/ d l)))
22.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d)))) (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))) (/ (* (* (/ h l) M) D) (* 2 d)) (* (* (/ h l) M) D) (* (/ h l) M) (/ h l) M D (* 2 d) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 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) (* (/ (* (* 1/4 D) D) d) (* M (/ M d))) (/ (* (* 1/4 D) D) d) (* (* 1/4 D) D) (* 1/4 D) 1/4 (* M (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ 1 (* (pow h 3) l)))) (neg d) (sqrt (/ 1 (* (pow h 3) l))) (/ 1 (* (pow h 3) l)) (* (pow h 3) l) (pow h 3) 3 (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) -1/2 (pow (* M (/ (/ D d) 2)) 2) (* M (/ (/ D d) 2)) (/ (/ D d) 2) (/ D d) (sqrt (/ d h)) (sqrt (/ d l)))
12.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d)))) (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))) (/ (* (* (/ h l) M) D) (* 2 d)) (* (* (/ h l) M) D) (* (/ h l) M) (/ h l) M D (* 2 d) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 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) (* (/ (* (* 1/4 D) D) d) (* M (/ M d))) (/ (* (* 1/4 D) D) d) (* (* 1/4 D) D) (* 1/4 D) 1/4 (* M (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ 1 (* (pow h 3) l)))) (neg d) (sqrt (/ 1 (* (pow h 3) l))) (/ 1 (* (pow h 3) l)) (* (pow h 3) l) (pow h 3) 3 (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) -1/2 (pow (* M (/ (/ D d) 2)) 2) (* M (/ (/ D d) 2)) (/ (/ D d) 2) (/ D d) (sqrt (/ d h)) (sqrt (/ d l)))

simplify150.0ms (0.9%)

Memory

9.3MiB live, 149.1MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	1834
1	987	1726
2	3855	1696
0	8986	1654

Stop Event

1×	iter limit
1×	node limit

Counts

107 → 102

Calls

Call 1

Inputs
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d h))
(/ d h)
d
(sqrt (/ d l))
(/ d l)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 2 d)
(* 1/4 (/ (* D M) d))
(/ M d)
(/ (pow d 2) (* h l))
(* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (pow D 2) d))
(/ (pow M 2) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* (pow d 2) (sqrt (/ 1 (* (pow h 3) l))))) d)
(* -1 (* d (sqrt (/ 1 (* (pow h 3) l)))))
(* -1 d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ D d))
(/ D d)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* d (sqrt (/ 1 (* (pow h 3) l))))
(* d (+ (sqrt (/ 1 (* (pow h 3) l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ 1 (* h (pow l 3))))))))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* (pow h 3) l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
h
(/ (* D (* M h)) l)
(/ (* M h) l)
(/ h l)
(sqrt (/ 1 (* h l)))
(sqrt (* h l))
(* h l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) (pow h 2))
(sqrt (/ 1 (* (pow h 3) l)))
(/ 1 (* (pow h 3) l))
(* (pow h 3) l)
(pow h 3)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))
(+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))
(* -1 (* (sqrt (/ 1 (* (pow h 3) l))) (pow (sqrt -1) 2)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
l
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ l h)))) (* d (sqrt (/ (pow l 3) (pow h 3))))) (pow l 2))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))
(* (sqrt (/ 1 (* (pow h 3) l))) (pow (sqrt -1) 2))
M
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* (pow h 3) l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
D
(* 1/4 D)
(* 1/2 D)
(* 1/4 (pow D 2))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* (pow h 3) l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))

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

rewrite336.0ms (2.1%)

Memory

-10.8MiB live, 137.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	727
0	151	712
1	449	683
2	2540	661
0	8481	654

Stop Event

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

Counts

65 → 1 200

Calls

Call 1

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

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

eval266.0ms (1.7%)

Memory: 52.3MiB live, 317.5MiB allocated; 39ms collecting garbage
Compiler: Compiled 69 902 to 7 130 computations (89.8% saved)

prune113.0ms (0.7%)

Memory

-28.0MiB live, 227.1MiB allocated; 42ms collecting garbage

Pruning

56 alts after pruning (54 fresh and 2 done)

	Pruned	Kept	Total
New	1 481	33	1 514
Fresh	26	21	47
Picked	4	1	5
Done	0	1	1
Total	1 511	56	1 567

Accuracy

95.0%

Counts

1 567 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	30.8%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) M) M)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	30.7%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 h (.f64 D (/.f64 D d)))) (.f64 M M) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	15.5%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (*.f64 M (/.f64 M d))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	29.8%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (*.f64 M M) l) d)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	41.8%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M (/.f64 h l))) (.f64 #s(literal -2 binary64) d)) (/.f64 M d)) (*.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
	24.7%	(/.f64 #s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) d)) (sqrt.f64 h))
	3.6%	(/.f64 #s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
▶	38.8%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M (/.f64 h l))) (.f64 #s(literal -2 binary64) d)) (/.f64 M d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	31.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) d) M) (/.f64 M d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	40.4%	(.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) M) D) (.f64 #s(literal 2 binary64) d)) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	37.1%	(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	64.6%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 D M)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	56.0%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (neg.f64 M) D) (.f64 D M)) (.f64 (.f64 #s(literal -2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	66.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D M) (.f64 #s(literal -2 binary64) d)) (/.f64 (.f64 D M) (.f64 #s(literal -2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	51.9%	(.f64 (.f64 (fma.f64 #s(approx (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	67.1%	(.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 h (.f64 D M)) l) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	62.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M h) D) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	34.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) M) D) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	34.6%	(.f64 (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d (.f64 l h)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) M) D) (.f64 #s(literal 2 binary64) d)) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	51.1%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	44.3%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) #s(approx (pow (/ ( M D) (* 2 d)) 2) (.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) d) M) (/.f64 M d)))) #s(literal 1 binary64)))
	45.6%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (pow (/ ( M D) (* 2 d)) 2) (.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) d) M) (/.f64 M d))) (*.f64 #s(literal 1/2 binary64) h)) l)))
	54.3%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) M) D) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	44.7%	(.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)) #s(approx (pow (/ (* M D) (* 2 d)) 2) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) d) M) M) d))) (/.f64 h l))))
	52.7%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) D) d) (/.f64 M #s(literal 2 binary64))) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 h l))))
	40.6%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M (/.f64 M d)) d))) (/.f64 h l))))
	42.8%	(.f64 (sqrt.f64 (.f64 d (/.f64 d (.f64 l h)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (pow (/ ( M D) (* 2 d)) 2) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) d) (.f64 M (/.f64 M d))))) (/.f64 h l))))
	37.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) M) D) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	32.6%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l)))
▶	11.1%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 d l)))
	11.8%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (.f64 (/.f64 (.f64 M M) l) (*.f64 D D)))) (sqrt.f64 (/.f64 d l)))
	31.0%	#s(approx (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	25.1%	#s(approx (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	24.1%	#s(approx (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d (.f64 (.f64 (.f64 D D) (.f64 (.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	41.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	17.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ h l) M) D) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	38.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
▶	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	26.6%	#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 (pow.f64 l #s(literal -3/2 binary64)) (/.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (.f64 (pow.f64 h #s(literal -3/2 binary64)) (/.f64 d (sqrt.f64 l)))) h))
	29.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) D) (/.f64 D d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	25.4%	#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 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
	22.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d)))))
	44.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) (fabs.f64 d)))
✓	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
✓	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	27.2%	#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 (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 l h)) (.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d)) (.f64 l l))) h))
	5.2%	#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 (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -3/2 binary64))))) h))
	13.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))))) h))
	12.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l (.f64 h h)) h))))) h))
	5.2%	#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 (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (exp.f64 (.f64 (fma.f64 (log.f64 h) #s(literal 3 binary64) (log.f64 l)) #s(literal -1/2 binary64))))) h))
	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))

Compiler

Compiled 5 206 to 3 560 computations (31.6% saved)

simplify0.0ms (0%)

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

series189.0ms (1.2%)

Memory

-18.7MiB live, 360.9MiB allocated; 30ms collecting garbage

Counts

62 → 89

Calls

Call 1

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

Outputs
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d h))
(/ d h)
d
(sqrt (/ d l))
(/ d l)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 2 d)
(* 1/4 (/ (* D M) d))
(/ M d)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -2 d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* -1/2 (/ (* D M) d))
(* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))
(sqrt (/ h (pow d 3)))
(/ h (pow d 3))
(pow d 3)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* (/ (* (pow M 2) (pow (sqrt -1) 2)) l) (sqrt (/ h (pow d 3)))))
(* -1 (* (sqrt (/ h (pow d 3))) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
h
(/ (* D (* M h)) l)
(* D (* M h))
(sqrt (* h l))
(* h l)
(/ (* M h) l)
(/ h l)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
l
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (pow M 2) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* D M)
M
(pow M 2)
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
D
(* 1/4 D)
(* 1/2 D)
(* -1/8 (pow D 2))
(pow D 2)
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	D	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d)))) (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))) (/ (/ (* h (* D M)) l) (* 2 d)) (/ (* h (* D M)) l) (* h (* D M)) (* D M) D M (* 2 d) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (+ (* (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (* (/ D 2) 1/2)) 1) (/ d (sqrt (* l h)))) (+ (* (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (* (/ D 2) 1/2)) 1) (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (/ (* D (* M (/ h l))) (* -2 d)) (* D (* M (/ h l))) (* M (/ h l)) (/ h l) (* -2 d) -2 (* (/ D 2) 1/2) (* (* (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d))) (/ (* D M) (* -2 d)) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* (* D D) -1/8) (* (/ (* M M) l) (sqrt (/ h (pow d 3))))) (* (* D D) -1/8) (* D D) -1/8 (* (/ (* M M) l) (sqrt (/ h (pow d 3)))) (/ (* M M) l) (* M M) (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3)
17.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d)))) (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))) (/ (/ (* h (* D M)) l) (* 2 d)) (/ (* h (* D M)) l) (* h (* D M)) (* D M) D M (* 2 d) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (+ (* (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (* (/ D 2) 1/2)) 1) (/ d (sqrt (* l h)))) (+ (* (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (* (/ D 2) 1/2)) 1) (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (/ (* D (* M (/ h l))) (* -2 d)) (* D (* M (/ h l))) (* M (/ h l)) (/ h l) (* -2 d) -2 (* (/ D 2) 1/2) (* (* (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d))) (/ (* D M) (* -2 d)) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* (* D D) -1/8) (* (/ (* M M) l) (sqrt (/ h (pow d 3))))) (* (* D D) -1/8) (* D D) -1/8 (* (/ (* M M) l) (sqrt (/ h (pow d 3)))) (/ (* M M) l) (* M M) (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3)
14.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d)))) (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))) (/ (/ (* h (* D M)) l) (* 2 d)) (/ (* h (* D M)) l) (* h (* D M)) (* D M) D M (* 2 d) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (+ (* (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (* (/ D 2) 1/2)) 1) (/ d (sqrt (* l h)))) (+ (* (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (* (/ D 2) 1/2)) 1) (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (/ (* D (* M (/ h l))) (* -2 d)) (* D (* M (/ h l))) (* M (/ h l)) (/ h l) (* -2 d) -2 (* (/ D 2) 1/2) (* (* (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d))) (/ (* D M) (* -2 d)) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* (* D D) -1/8) (* (/ (* M M) l) (sqrt (/ h (pow d 3))))) (* (* D D) -1/8) (* D D) -1/8 (* (/ (* M M) l) (sqrt (/ h (pow d 3)))) (/ (* M M) l) (* M M) (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3)
14.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d)))) (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))) (/ (/ (* h (* D M)) l) (* 2 d)) (/ (* h (* D M)) l) (* h (* D M)) (* D M) D M (* 2 d) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (+ (* (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (* (/ D 2) 1/2)) 1) (/ d (sqrt (* l h)))) (+ (* (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (* (/ D 2) 1/2)) 1) (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (/ (* D (* M (/ h l))) (* -2 d)) (* D (* M (/ h l))) (* M (/ h l)) (/ h l) (* -2 d) -2 (* (/ D 2) 1/2) (* (* (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d))) (/ (* D M) (* -2 d)) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* (* D D) -1/8) (* (/ (* M M) l) (sqrt (/ h (pow d 3))))) (* (* D D) -1/8) (* D D) -1/8 (* (/ (* M M) l) (sqrt (/ h (pow d 3)))) (/ (* M M) l) (* M M) (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3)
10.0ms	l	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (* (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 (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d)))) (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))) (/ (/ (* h (* D M)) l) (* 2 d)) (/ (* h (* D M)) l) (* h (* D M)) (* D M) D M (* 2 d) (* (* 1/2 (/ D 2)) (/ M d)) (* 1/2 (/ D 2)) 1/2 (/ D 2) (/ M d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (+ (* (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (* (/ D 2) 1/2)) 1) (/ d (sqrt (* l h)))) (+ (* (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (* (/ D 2) 1/2)) 1) (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (/ (* D (* M (/ h l))) (* -2 d)) (* D (* M (/ h l))) (* M (/ h l)) (/ h l) (* -2 d) -2 (* (/ D 2) 1/2) (* (* (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) (/ h l)) 1) (* -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d)))) -1/2 (* (/ (* D M) (* -2 d)) (/ (* D M) (* -2 d))) (/ (* D M) (* -2 d)) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (* (* (* D D) -1/8) (* (/ (* M M) l) (sqrt (/ h (pow d 3))))) (* (* D D) -1/8) (* D D) -1/8 (* (/ (* M M) l) (sqrt (/ h (pow d 3)))) (/ (* M M) l) (* M M) (sqrt (/ h (pow d 3))) (/ h (pow d 3)) (pow d 3) 3)

simplify116.0ms (0.7%)

Memory

36.5MiB live, 226.3MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1333
1	877	1263
2	3493	1248
0	8487	1216

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 84

Calls

Call 1

Inputs
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d h))
(/ d h)
d
(sqrt (/ d l))
(/ d l)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 2 d)
(* 1/4 (/ (* D M) d))
(/ M d)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -2 d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* -1/2 (/ (* D M) d))
(* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))
(sqrt (/ h (pow d 3)))
(/ h (pow d 3))
(pow d 3)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* (/ (* (pow M 2) (pow (sqrt -1) 2)) l) (sqrt (/ h (pow d 3)))))
(* -1 (* (sqrt (/ h (pow d 3))) (pow (sqrt -1) 2)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
h
(/ (* D (* M h)) l)
(* D (* M h))
(sqrt (* h l))
(* h l)
(/ (* M h) l)
(/ h l)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
l
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (pow M 2) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* D M)
M
(pow M 2)
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
D
(* 1/4 D)
(* 1/2 D)
(* -1/8 (pow D 2))
(pow D 2)
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))

Outputs
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 D D)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d)
(* d (sqrt (/ 1 (* h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(/ d h)
(/.f64 d h)
d
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(/ d l)
(/.f64 d l)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 D D) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (.f64 M M) l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D d)) (*.f64 (/.f64 h l) M))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* 1/4 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))
(/ M d)
(/.f64 M d)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D (.f64 d d))) (.f64 h (/.f64 (*.f64 M M) l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (*.f64 (/.f64 h l) M))
(* -2 d)
(*.f64 #s(literal -2 binary64) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (.f64 d d))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (.f64 M (/.f64 M d)) (.f64 D D)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (/.f64 M d)) d))
(* -1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))
(* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))
(.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))
(sqrt (/ h (pow d 3)))
(sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))
(/ h (pow d 3))
(/.f64 h (pow.f64 d #s(literal 3 binary64)))
(pow d 3)
(pow.f64 d #s(literal 3 binary64))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 M (/.f64 M d)) d)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)))) d)
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 M (/.f64 M d)) d)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d)
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 M (/.f64 M d)) d)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)))) d)
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))))
(* -1 (* (/ (* (pow M 2) (pow (sqrt -1) 2)) l) (sqrt (/ h (pow d 3)))))
(.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))
(* -1 (* (sqrt (/ h (pow d 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 M d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
h
(/ (* D (* M h)) l)
(/.f64 (.f64 (.f64 M h) D) l)
(* D (* M h))
(.f64 (.f64 M h) D)
(sqrt (* h l))
(sqrt.f64 (*.f64 l h))
(* h l)
(*.f64 l h)
(/ (* M h) l)
(*.f64 (/.f64 h l) M)
(/ h l)
(/.f64 h l)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))))) h)
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (*.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 (neg.f64 h) (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 l h))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (neg.f64 h) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (/.f64 (.f64 M M) l)) (/.f64 #s(literal 1 binary64) h)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 d #s(literal 3 binary64)) h))) (neg.f64 (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64)))))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 M d))) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))
l
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
(/ (pow M 2) l)
(/.f64 (*.f64 M M) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* D M)
(*.f64 M D)
M
(pow M 2)
(*.f64 M M)
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 M M))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
D
(* 1/4 D)
(*.f64 #s(literal 1/4 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* -1/8 (pow D 2))
(.f64 (.f64 D D) #s(literal -1/8 binary64))
(pow D 2)
(*.f64 D D)
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(.f64 (fma.f64 (.f64 (.f64 M (/.f64 M d)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 D D))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))

rewrite197.0ms (1.2%)

Memory

-12.9MiB live, 321.3MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	592
0	139	562
1	435	533
2	2983	521
0	8397	521

Stop Event

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

Counts

62 → 1 200

Calls

Call 1

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

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

eval250.0ms (1.6%)

Memory: -6.9MiB live, 614.6MiB allocated; 76ms collecting garbage
Compiler: Compiled 67 982 to 8 066 computations (88.1% saved)

prune116.0ms (0.7%)

Memory

37.5MiB live, 323.7MiB allocated; 12ms collecting garbage

Pruning

48 alts after pruning (45 fresh and 3 done)

	Pruned	Kept	Total
New	1 693	25	1 718
Fresh	29	20	49
Picked	4	1	5
Done	0	2	2
Total	1 726	48	1 774

Accuracy

95.8%

Counts

1 774 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.7%	(/.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 h l) M) #s(literal -2 binary64)) (/.f64 D d)) (*.f64 D #s(literal 1/4 binary64))) (/.f64 M d) #s(literal 1 binary64)) d) (sqrt.f64 l)) (sqrt.f64 h))
	37.2%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 h l) M) #s(literal -2 binary64)) (/.f64 D d)) (.f64 D #s(literal 1/4 binary64))) (/.f64 M d) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 l h)))
	30.7%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 h (.f64 D (/.f64 D d)))) (.f64 M M) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	15.5%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (*.f64 M (/.f64 M d))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	29.8%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (*.f64 M M) l) d)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	24.7%	(/.f64 #s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) d)) (sqrt.f64 h))
	3.6%	(/.f64 #s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
	38.9%	(.f64 (fma.f64 (/.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (.f64 (/.f64 (.f64 (/.f64 h l) M) d) M)) d) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	37.6%	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 h l) M) #s(literal -2 binary64)) (/.f64 D d)) (neg.f64 M)) (neg.f64 d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	40.5%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (neg.f64 D) M) h) (.f64 (.f64 #s(literal 2 binary64) d) l)) (/.f64 M d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	35.6%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) h) l) (/.f64 M (.f64 (.f64 #s(literal -2 binary64) d) d))) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	53.7%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M (/.f64 h l))) (.f64 #s(literal -2 binary64) (fabs.f64 d))) (/.f64 M d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	43.0%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M (/.f64 h l))) (.f64 #s(literal -2 binary64) d)) (/.f64 M d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
	38.8%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M (/.f64 h l))) (.f64 #s(literal -2 binary64) d)) (/.f64 M d)) (.f64 #s(approx (/ D 2) (.f64 #s(literal 1/2 binary64) D)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	36.2%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 (.f64 (/.f64 h l) M) d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	36.5%	(.f64 (fma.f64 (.f64 (.f64 (.f64 M D) (/.f64 (/.f64 h l) (.f64 #s(literal -2 binary64) d))) (/.f64 M d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	31.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) d) M) (/.f64 M d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	38.6%	(.f64 (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 h l) M) #s(literal -2 binary64)) (/.f64 D d)) (*.f64 D #s(literal 1/4 binary64))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
	40.4%	(.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) M) D) (.f64 #s(literal 2 binary64) d)) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	59.4%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 #s(literal 4 binary64) (.f64 d d))))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	51.9%	(.f64 (.f64 (fma.f64 #s(approx (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M (/.f64 M d)) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	62.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 D #s(literal 1/4 binary64))) (.f64 (.f64 M D) h)) (.f64 (*.f64 #s(literal 2 binary64) d) l))))
	44.3%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (fma.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) #s(approx (pow (/ ( M D) (* 2 d)) 2) (.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) d) M) (/.f64 M d)))) #s(literal 1 binary64)))
	45.6%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (pow (/ ( M D) (* 2 d)) 2) (.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) d) M) (/.f64 M d))) (*.f64 #s(literal 1/2 binary64) h)) l)))
	54.1%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 h (.f64 D M)) l) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	40.6%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M (/.f64 M d)) d))) (/.f64 h l))))
	31.0%	(.f64 #s(approx (+ ( (* (/ (* D (* M (/ h l))) (* -2 d)) (/ M d)) (* (/ D 2) 1/2)) 1) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 D (.f64 d d)))) (.f64 h (/.f64 (.f64 M M) l)) #s(literal 1 binary64))) (/.f64 d (sqrt.f64 (.f64 l h))))
	39.0%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 h (.f64 D M)) l) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	16.1%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 3/2 binary64))) (/.f64 (.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D))) (sqrt.f64 (/.f64 d l)))
	14.3%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M M) (sqrt.f64 h)) (.f64 l (pow.f64 d #s(literal 3/2 binary64)))))) (sqrt.f64 (/.f64 d l)))
	28.8%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) l) (/.f64 (sqrt.f64 (/.f64 h d)) d)))) (sqrt.f64 (/.f64 d l)))
	12.3%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 (/.f64 h (.f64 d d)) d))))) (sqrt.f64 (/.f64 d l)))
	11.1%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (.f64 (*.f64 d d) d)))))) (sqrt.f64 (/.f64 d l)))
	11.8%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d h))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (.f64 (/.f64 (.f64 M M) l) (*.f64 D D)))) (sqrt.f64 (/.f64 d l)))
	31.0%	#s(approx (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	25.1%	#s(approx (/ (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	41.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* h (* D M)) l) (* 2 d)) (* (* 1/2 (/ D 2)) (/ M d))))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 M d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	44.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	26.6%	#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 (pow.f64 l #s(literal -3/2 binary64)) (/.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (.f64 (pow.f64 h #s(literal -3/2 binary64)) (/.f64 d (sqrt.f64 l)))) h))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
✓	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
✓	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	27.2%	#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 (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (sqrt.f64 (/.f64 l h)) (.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d)) (.f64 l l))) h))
	13.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) h) l))))) h))
	12.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l (.f64 h h)) h))))) h))
	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))

Compiler

Compiled 8 120 to 2 256 computations (72.2% saved)

regimes571.0ms (3.6%)

Memory

-1.4MiB live, 636.5MiB allocated; 218ms collecting garbage

Counts

138 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

118.0ms	l
105.0ms	d
79.0ms	(.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))))
67.0ms	M
57.0ms	D

Results

Accuracy	Segments	Branch
72.0%	3	`(*.f64 M D)`
79.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
83.8%	3	`d`
82.0%	2	`h`
82.0%	2	`l`
67.5%	1	`M`
70.5%	2	`D`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes37.0ms (0.2%)

Memory

34.3MiB live, 82.7MiB allocated; 3ms collecting garbage

Counts

112 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

30.0ms

Results

Accuracy	Segments	Branch
83.6%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes80.0ms (0.5%)

Memory

-4.4MiB live, 182.7MiB allocated; 13ms collecting garbage

Counts

90 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

25.0ms	l
24.0ms	d
24.0ms	h

Results

Accuracy	Segments	Branch
81.1%	2	`h`
82.9%	3	`l`
83.2%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes57.0ms (0.4%)

Memory

-18.8MiB live, 121.7MiB allocated; 12ms collecting garbage

Counts

89 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

27.0ms	l
25.0ms	d

Results

Accuracy	Segments	Branch
82.9%	3	`l`
81.1%	2	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes42.0ms (0.3%)

Memory

1.6MiB live, 94.1MiB allocated; 4ms collecting garbage

Counts

69 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

19.0ms	h
19.0ms	l

Results

Accuracy	Segments	Branch
81.1%	2	`h`
81.1%	2	`l`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes91.0ms (0.6%)

Memory

20.4MiB live, 114.7MiB allocated; 58ms collecting garbage

Counts

43 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

53.0ms	(.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	h
12.0ms	d

Results

Accuracy	Segments	Branch
78.2%	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))))`
77.0%	2	`d`
78.6%	3	`l`
77.0%	2	`h`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes40.0ms (0.2%)

Memory

-7.8MiB live, 89.5MiB allocated; 7ms collecting garbage

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

14.0ms	l
12.0ms	h
11.0ms	d

Results

Accuracy	Segments	Branch
75.4%	2	`h`
75.4%	2	`d`
77.0%	3	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes55.0ms (0.3%)

Memory

37.3MiB live, 122.3MiB allocated; 16ms collecting garbage

Counts

40 → 4

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	d
11.0ms	h
11.0ms	l
9.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
78.2%	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))))`
75.6%	4	`d`
69.6%	3	`h`
69.7%	3	`l`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes43.0ms (0.3%)

Memory

-31.7MiB live, 50.0MiB allocated; 27ms collecting garbage

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms

8.0ms

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

Results

Accuracy	Segments	Branch
72.2%	4	`d`
73.4%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes80.0ms (0.5%)

Memory

3.6MiB live, 103.5MiB allocated; 32ms collecting garbage

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

29.0ms	h
11.0ms	d
8.0ms	l
8.0ms	D
8.0ms	M

Results

Accuracy	Segments	Branch
64.5%	3	`h`
67.9%	4	`l`
59.7%	2	`M`
68.0%	3	`d`
62.0%	2	`(*.f64 M D)`
61.4%	4	`D`
68.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes8.0ms (0%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

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
68.6%	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 35 to 22 computations (37.1% saved)

regimes40.0ms (0.2%)

Memory

22.1MiB live, 68.1MiB allocated; 7ms collecting garbage

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
50.1%	3	`D`
52.3%	2	`M`
53.1%	2	`(*.f64 M D)`
54.0%	2	`h`
57.2%	3	`l`
57.6%	4	`d`
53.9%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes22.0ms (0.1%)

Memory

-7.8MiB live, 36.7MiB allocated; 4ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	l
5.0ms	h
4.0ms	d
4.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
53.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
48.8%	2	`h`
50.5%	3	`d`
49.2%	2	`l`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes5.0ms (0%)

Memory

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

Counts

12 → 2

Calls

Call 1

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
53.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes18.0ms (0.1%)

Memory

-15.1MiB live, 29.5MiB allocated; 5ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 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))))
4.0ms	l
3.0ms	M
3.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
49.2%	2	`l`
44.6%	1	`M`
44.6%	1	`(*.f64 M D)`
48.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 38 computations (5% saved)

regimes18.0ms (0.1%)

Memory

-21.0MiB live, 28.5MiB allocated; 10ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 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))))
3.0ms	D
3.0ms	l
3.0ms	h
2.0ms	d

Results

Accuracy	Segments	Branch
48.1%	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))))`
44.6%	1	`D`
44.6%	1	`h`
44.6%	1	`d`
44.6%	1	`l`

Compiler

Compiled 39 to 42 computations (-7.7% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

#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))))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
48.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Calls

1 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
47.7%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes8.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 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))))
1.0ms	l
1.0ms	M
1.0ms	h
1.0ms	D

Results

Accuracy	Segments	Branch
26.6%	1	`D`
26.6%	1	`(*.f64 M D)`
26.6%	1	`d`
26.6%	1	`h`
26.6%	1	`l`
26.6%	1	`M`
26.6%	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 43 to 53 computations (-23.3% saved)

bsearch710.0ms (4.4%)

Memory

-90.3MiB live, 103.0MiB allocated; 1.1s collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.5774926231128162e-278	3.294750576915388e-278
688.0ms	-7.07321314154909e-238	-2.6503640006086436e-239

Samples

661.0ms	135×	0	invalid
30.0ms	160×	0	valid

Compiler

Compiled 1 033 to 714 computations (30.9% saved)

Precisions

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

ival-div: 14.0ms (38.4% of total)

ival-mult: 10.0ms (27.4% of total)

ival-pow: 7.0ms (19.2% of total)

ival-pow2: 3.0ms (8.2% of total)

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

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch87.0ms (0.5%)

Memory

-66.2MiB live, 82.6MiB allocated; 65ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.5774926231128162e-278	3.294750576915388e-278
80.0ms	-1.7293502665658573e-224	-1.6814409619907091e-226

Samples

52.0ms	122×	0	invalid
19.0ms	112×	0	valid

Compiler

Compiled 1 131 to 770 computations (31.9% saved)

Precisions

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

ival-div: 33.0ms (64.8% of total)

ival-mult: 8.0ms (15.7% of total)

ival-pow: 5.0ms (9.8% of total)

ival-pow2: 3.0ms (5.9% of total)

ival-sub: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Memory

10.3MiB live, 55.9MiB allocated; 11ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	7.631628329640383e-295	2.6587704291087365e-294
2.0ms	-1.7293502665658573e-224	-1.6814409619907091e-226

Samples

15.0ms	72×	0	invalid
13.0ms	80×	0	valid

Compiler

Compiled 1 275 to 856 computations (32.9% saved)

Precisions

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

ival-div: 5.0ms (29.3% of total)

ival-mult: 5.0ms (29.3% of total)

ival-pow: 3.0ms (17.6% of total)

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

ival-sub: 1.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch128.0ms (0.8%)

Memory

7.3MiB live, 188.2MiB allocated; 44ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
73.0ms	-9.904012702785919e-308	3.3548042427420375e-304
44.0ms	-1.4193526539984927e+202	-1.1100231199422617e+201

Samples

46.0ms	240×	0	valid
40.0ms	248×	0	invalid

Compiler

Compiled 1 253 to 948 computations (24.3% saved)

Precisions

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

ival-div: 21.0ms (31.2% of total)

ival-mult: 17.0ms (25.2% of total)

ival-pow: 14.0ms (20.8% of total)

ival-sub: 9.0ms (13.4% of total)

ival-pow2: 5.0ms (7.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch80.0ms (0.5%)

Memory

2.1MiB live, 147.8MiB allocated; 35ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
74.0ms	-1.1837651881824123e-301	1.4242073475884577e-307

Samples

37.0ms	144×	0	valid
25.0ms	144×	0	invalid

Compiler

Compiled 749 to 570 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 19.0ms (44.1% of total)

ival-mult: 10.0ms (23.2% of total)

ival-pow: 9.0ms (20.9% of total)

ival-pow2: 3.0ms (7% of total)

ival-sub: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch130.0ms (0.8%)

Memory

-16.6MiB live, 264.4MiB allocated; 23ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
55.0ms	1.7072477140317886e+177	4.499246757082096e+182
62.0ms	3.3548042427420375e-304	5.602777153697283e-298

Samples

49.0ms	288×	0	valid
46.0ms	269×	0	invalid

Compiler

Compiled 1 424 to 1 047 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 24.0ms (32.5% of total)

ival-div: 23.0ms (31.1% of total)

ival-pow: 17.0ms (23% of total)

ival-pow2: 6.0ms (8.1% of total)

ival-sub: 3.0ms (4.1% of total)

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7072477140317886e+177	4.499246757082096e+182
2.0ms	3.3548042427420375e-304	5.602777153697283e-298

Compiler

Compiled 1 424 to 1 047 computations (26.5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.1993547560364192e+214	3.84763118206643e+264
0.0ms	6.480730592142568e-240	1.3999286680387077e-218

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.9026028926662455e-134	-3.9251046320199345e-224

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-84877597072647.75	-3.4451734310854476e-47

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.4451734310854476e-47	-4.0869262913171386e-107

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch151.0ms (0.9%)

Memory

-17.8MiB live, 127.1MiB allocated; 32ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
71.0ms	2.216730036936249e+114	3.62847392356872e+115
46.0ms	1.7596093773760098e-258	1.2265989730759883e-256

Samples

65.0ms	233×	0	invalid
35.0ms	224×	0	valid

Compiler

Compiled 1 389 to 968 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div: 46.0ms (55.7% of total)

ival-mult: 15.0ms (18.2% of total)

ival-pow: 13.0ms (15.7% of total)

ival-pow2: 5.0ms (6.1% of total)

ival-sub: 2.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.9251046320199345e-224	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.9026028926662455e-134	-3.9251046320199345e-224

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch68.0ms (0.4%)

Memory

1.3MiB live, 89.1MiB allocated; 22ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	3.031774582201852e-255	1.6887294498454527e-248

Samples

23.0ms	144×	0	valid
18.0ms	123×	0	invalid

Compiler

Compiled 893 to 588 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 9.0ms (29.3% of total)

ival-mult: 9.0ms (29.3% of total)

ival-pow: 8.0ms (26% of total)

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

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

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.079992107770024e-110	-1.9026028926662455e-134

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.079992107770024e-110	-1.9026028926662455e-134

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.079992107770024e-110	-1.9026028926662455e-134

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify108.0ms (0.7%)

Memory

39.7MiB live, 92.9MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	313	2459
1	506	2447
2	1189	2447
3	5089	2447

Stop Event

1×	node limit

Calls

Call 1

Inputs
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(if (<=.f64 d #s(literal -4534249814358301/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) (.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 h (.f64 D M)) l) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))))) (if (<=.f64 d #s(literal 4949683967646105/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 M d))))) h)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M (/.f64 h l))) (.f64 #s(literal -2 binary64) d)) (/.f64 M d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 d #s(literal -4534249814358301/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) (.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 h (.f64 D M)) l) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))))) (if (<=.f64 d #s(literal 8974084129232681/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 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 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M (/.f64 h l))) (.f64 #s(literal -2 binary64) d)) (/.f64 M d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 l #s(literal -13499999999999999761361307570255353983574020315432779702982434050947039962621924421245644840108061678715714901029845539149173759738597920337222368590243700123634577999324600166535551463658392485562941440 binary64)) (.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d l) (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 h (.f64 D M)) l) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M (/.f64 h l))) (.f64 #s(literal -2 binary64) d)) (/.f64 M d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 h #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 h (.f64 D M)) l) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M (/.f64 h l))) (.f64 #s(literal -2 binary64) d)) (/.f64 M d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 l #s(literal 2100121036513843/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 h (.f64 D M)) l) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))))) (if (<=.f64 l #s(literal 154999999999999999130080770277081210908766887021697013724380890667596692237171497165549669535786052409743859656680734456513032459001112037935318507400582159696131697701544343371776 binary64)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (neg.f64 D) M) h) (.f64 (.f64 #s(literal 2 binary64) d) l)) (/.f64 M d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.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 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))))
(if (<=.f64 l #s(literal 2100121036513843/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) M) D) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))))) (if (<=.f64 l #s(literal 154999999999999999130080770277081210908766887021697013724380890667596692237171497165549669535786052409743859656680734456513032459001112037935318507400582159696131697701544343371776 binary64)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (neg.f64 D) M) h) (.f64 (.f64 #s(literal 2 binary64) d) l)) (/.f64 M d)) (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.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 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))))
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Outputs
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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 d (sqrt.f64 (*.f64 l h))))

derivations1.7s (10.6%)

Memory

9.8MiB live, 1 623.5MiB allocated; 230ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	592
0	139	562
1	435	533
2	2983	521
0	8397	521
0	155	688
1	465	647
2	1848	628
3	6380	627
0	8670	611
0	22	132
0	38	126
1	110	124
2	610	124
3	7914	124
0	8022	122
0	97	727
0	151	712
1	449	683
2	2540	661
0	8481	654
0	88	663
0	152	667
1	414	603
2	2306	579
0	8158	573
0	315	1834
1	987	1726
2	3855	1696
0	8986	1654
0	407	2619
1	1352	2420
2	5430	2404
0	8493	2346
0	280	1333
1	877	1263
2	3493	1248
0	8487	1216

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 2 675 to 318 computations (88.1% saved)

preprocess231.0ms (1.4%)

Memory: -19.0MiB live, 401.0MiB allocated; 53ms collecting garbage
Compiler: Compiled 6 230 to 1 154 computations (81.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze568.0ms (3.5%)

sample6.4s (39.6%)

explain431.0ms (2.7%)

preprocess196.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

series99.0ms (0.6%)

simplify141.0ms (0.9%)

rewrite211.0ms (1.3%)

eval139.0ms (0.9%)

prune53.0ms (0.3%)

simplify0.0ms (0%)

series218.0ms (1.4%)

simplify186.0ms (1.2%)

rewrite291.0ms (1.8%)

eval396.0ms (2.5%)

prune133.0ms (0.8%)

simplify0.0ms (0%)

series223.0ms (1.4%)

simplify150.0ms (0.9%)

rewrite336.0ms (2.1%)

eval266.0ms (1.7%)

prune113.0ms (0.7%)

simplify0.0ms (0%)

series189.0ms (1.2%)

simplify116.0ms (0.7%)

rewrite197.0ms (1.2%)

eval250.0ms (1.6%)

prune116.0ms (0.7%)

regimes571.0ms (3.6%)

regimes37.0ms (0.2%)

regimes80.0ms (0.5%)

regimes57.0ms (0.4%)

regimes42.0ms (0.3%)

regimes91.0ms (0.6%)

regimes40.0ms (0.2%)

regimes55.0ms (0.3%)

regimes43.0ms (0.3%)

regimes80.0ms (0.5%)

regimes8.0ms (0%)

regimes40.0ms (0.2%)

regimes22.0ms (0.1%)

regimes5.0ms (0%)

regimes18.0ms (0.1%)

regimes18.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch710.0ms (4.4%)

bsearch87.0ms (0.5%)

bsearch40.0ms (0.3%)

bsearch128.0ms (0.8%)

bsearch80.0ms (0.5%)

bsearch130.0ms (0.8%)

bsearch4.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch151.0ms (0.9%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch68.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify108.0ms (0.7%)

derivations1.7s (10.6%)

preprocess231.0ms (1.4%)

end0.0ms (0%)

Profiling