Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze517.0ms (3.8%)

Memory

22.2MiB live, 978.7MiB allocated; 139ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.6s (41.2%)

Memory

171.4MiB live, 7 938.9MiB allocated; 1.7s collecting garbage

Samples

2.6s	13 284×	0	invalid
1.7s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-div: 1.1s (33.1% of total)

ival-mult: 958.0ms (30% of total)

ival-pow: 649.0ms (20.3% of total)

ival-pow2: 294.0ms (9.2% of total)

ival-sub: 180.0ms (5.6% of total)

exact: 23.0ms (0.7% of total)

ival-true: 16.0ms (0.5% of total)

ival-assert: 9.0ms (0.3% of total)

adjust: 7.0ms (0.2% of total)

Bogosity

explain358.0ms (2.6%)

Memory

-11.7MiB live, 667.4MiB allocated; 107ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
69	-	1	(-3.8253582898914757e-271 -3.569791998013276e+173 -4.908961163277703e+45 -3473055775776739.0 -1.975125262745358e-268)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
67	-	3	(-3.813798837144716e-74 -1.3417599505881916e+249 -1.8741083170079814e+144 -7.2700745985236085e-255 -1.295395243030375e-109)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
48	-	1	(-1.3760033283000374e+283 -4.5372049453238783e-187 -7.995213192565794e+127 -1.0214220057853494e+119 2.2000186447038434e+180)	`(.f64 (.f64 (/.f64 #s(literal 1 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	(-3.488994725583423e-160 -2.854168384949445e+248 -3.7689974802264447e-300 -9.514906214041567e-264 7.739520452806084e-55)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
23	-	1	(6.816204160363338e-217 3.0702189734249975e+28 3.297785775815597e+166 -7.892867597914771e-57 2.7317896979334525e+42)	`(.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))))`
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	38	0
↳	`(/.f64 d h)`	overflow	38
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	37	0
↳	`(/.f64 d l)`	overflow	37
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	31	0
↳	`(/.f64 d l)`	underflow	31
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	26	0
↳	`(/.f64 d h)`	underflow	26
`*.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 M D) (.f64 #s(literal 2 binary64) d))`	o/n	13	0
↳	`(*.f64 M D)`	overflow	42
`*.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**	10	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**	9	0
↳	`(/.f64 d h)`	underflow	26
↳	`(/.f64 d l)`	underflow	31
↳	`(*.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	16
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	82
↳	`(.f64 (/.f64 #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	82
↳	`(/.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	79
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	79
↳	`(*.f64 M D)`	overflow	42
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	44
`*.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**	7	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	82
↳	`(.f64 (/.f64 #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	82
↳	`(*.f64 M D)`	overflow	42
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	44
↳	`(/.f64 h l)`	underflow	30
`*.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 M D) (.f64 #s(literal 2 binary64) d))`	u/n	3	0
↳	`(*.f64 M D)`	underflow	26
`*.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	77
↳	`(.f64 (/.f64 #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	77
↳	`(*.f64 M D)`	underflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	36
↳	`(/.f64 h l)`	overflow	33

Confusion

	Predicted +	Predicted -
+	76	5
-	49	126

Precision

0.608

Recall

0.9382716049382716

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	76	0	5
-	49	0	126

Precision?

0.608

Recall?

0.9382716049382716

Freqs

test

number	freq
0	131
1	67
2	48
3	9
4	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

114.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 24.0ms (33.1% of total)

ival-div: 20.0ms (27.6% of total)

ival-pow: 19.0ms (26.2% of total)

ival-pow2: 5.0ms (6.9% 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)

preprocess221.0ms (1.6%)

Memory

11.9MiB live, 199.8MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	540	553
2	2122	548
3	6634	548
0	22	29
0	38	27
1	67	27
2	180	27
3	1202	27
4	4872	27
0	8241	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 h))) (sqrt.f64 (/.f64 d l)))

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.3%	(.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))))

Status

Accuracy

Program

▶

69.3%

(*.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)

series133.0ms (1%)

Memory

0.5MiB live, 145.3MiB allocated; 16ms collecting garbage

Counts

22 → 45

Calls

Call 1

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

Outputs
(* -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
35.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
35.0ms	D	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
11.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
7.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
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))

simplify122.0ms (0.9%)

Memory

12.1MiB live, 145.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	690
1	465	649
2	1931	632
0	6523	615

Stop Event

1×	iter limit
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 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (*.f64 M M) 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 (/.f64 (.f64 D D) 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 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (*.f64 M M) l)))
(* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (.f64 D D) d) d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) (/.f64 (/.f64 (.f64 D 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 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (/.f64 (.f64 M 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 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)) #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 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (/.f64 (.f64 M 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 (* (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 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) 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 (.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 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)) #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))))))
(.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 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 h l)) (.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 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)) #s(literal 1 binary64))

rewrite76.0ms (0.6%)

Memory

-7.1MiB live, 101.4MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	110	124
0	671	122

Stop Event

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

Counts

22 → 178

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

eval31.0ms (0.2%)

Memory: 4.9MiB live, 92.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 8 816 to 985 computations (88.8% saved)

prune44.0ms (0.3%)

Memory

-1.2MiB live, 83.2MiB allocated; 26ms collecting garbage

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	200	22	222
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	201	22	223

Accuracy

86.6%

Counts

223 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.1%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	68.1%	(.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 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
▶	68.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	70.7%	(.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 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
	58.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 D d)))) (/.f64 h l))))
	23.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (*.f64 M M) l)))))
	41.4%	(.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))) #s(literal 1 binary64)))
	39.5%	(.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))))
	33.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	42.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	34.8%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	62.6%	(.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))))
▶	32.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	41.1%	(.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))))
	23.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 #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))))))
	36.2%	#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 #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))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))
	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)))
	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 #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))
	14.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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))))))
	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	25.1%	#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 1 952 to 1 286 computations (34.1% saved)

series827.0ms (6%)

Memory

-183.9MiB live, 182.6MiB allocated; 1.2s collecting garbage

Counts

50 → 76

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

Outputs
(* -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) h)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(/ M d)
(* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 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) h)) l)) (pow d 2)) (pow d 2))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(sqrt 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 (* 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 (+ (* -1/8 (* (/ (* (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 (* (sqrt d) (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
(* 1/2 h)
(sqrt (/ 1 (* h l)))
(/ 1 (* h l))
(* h l)
(/ h l)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(sqrt 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 (+ (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))
(* (sqrt (/ 1 (* h 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 (* 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 (* (sqrt h) (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 (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))
M
(* D 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) 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))))
(* 1/2 D)
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)))))
(* (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
689.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D (/ M d) M (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) -1/2 (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
44.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D (/ M d) M (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) -1/2 (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
22.0ms	l	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D (/ M d) M (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) -1/2 (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
8.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D (/ M d) M (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) -1/2 (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))
8.0ms	D	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l)) (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l) (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D (/ M d) M (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) -1/2 (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h))

simplify161.0ms (1.2%)

Memory

0.9MiB live, 234.1MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1212
1	797	1140
2	3273	1123
0	8635	1092

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 71

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

rewrite131.0ms (1%)

Memory

24.9MiB live, 123.1MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	453
0	108	438
1	276	417
0	1433	417

Stop Event

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

Counts

50 → 691

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

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

eval107.0ms (0.8%)

Memory: -12.3MiB live, 176.1MiB allocated; 28ms collecting garbage
Compiler: Compiled 26 423 to 2 449 computations (90.7% saved)

prune48.0ms (0.4%)

Memory

-16.1MiB live, 123.4MiB allocated; 9ms collecting garbage

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	658	34	692
Fresh	17	0	17
Picked	4	1	5
Done	0	0	0
Total	679	35	714

Accuracy

92.4%

Counts

714 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.6%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 d (/.f64 d l)))) (sqrt.f64 h))
	33.8%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	35.2%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
	62.1%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	67.7%	(.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 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	67.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 M D)) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (.f64 (/.f64 M d) D)) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.1%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (.f64 M D)) (.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)))
	55.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.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)))
	58.6%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64))) (.f64 (/.f64 D d) (/.f64 D d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	51.7%	(.f64 (.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 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)))
▶	71.4%	(.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 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)))
	42.7%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
	36.8%	(.f64 (.f64 (sqrt.f64 d) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
	50.9%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 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)))
	34.8%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
▶	32.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l))))
	24.1%	(.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 #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))))
	43.8%	(.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 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
	10.1%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (.f64 (.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (*.f64 D D)))) (sqrt.f64 (/.f64 d l)))
▶	38.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.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))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.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 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.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))
	14.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (.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))))))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (.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))))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 d #s(literal 1 binary64)) (sqrt.f64 (.f64 l h))))
▶	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 l #s(literal -1 binary64))) (sqrt.f64 h)) d))
▶	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	25.1%	#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 (pow.f64 l #s(literal -1 binary64)) h)) d))
	25.1%	#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 (/.f64 #s(literal 1 binary64) h) l)) d))
✓	25.1%	#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))
	25.1%	#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 (pow.f64 l #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) h))) 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 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
	28.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))

Compiler

Compiled 2 860 to 1 956 computations (31.6% saved)

series150.0ms (1.1%)

Memory

29.8MiB live, 265.4MiB allocated; 23ms collecting garbage

Counts

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

Calls

15 calls:

Time	Variable		Point	Expression
21.0ms	h	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l))) (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (* (* (/ (/ D d) 2) M) 1/2) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (pow l -1)) (sqrt h)) d) (/ (sqrt (pow l -1)) (sqrt h)) (sqrt (pow l -1)) (pow l -1) -1 (sqrt h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/ (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* -1/8 (* D D)) (* M (/ M d))) (* -1/8 (* D D)) -1/8 (* D D) (* M (/ M d)) (/ M d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (* (sqrt (/ h l)) d) (sqrt (/ h l)))
16.0ms	M	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l))) (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (* (* (/ (/ D d) 2) M) 1/2) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (pow l -1)) (sqrt h)) d) (/ (sqrt (pow l -1)) (sqrt h)) (sqrt (pow l -1)) (pow l -1) -1 (sqrt h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/ (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* -1/8 (* D D)) (* M (/ M d))) (* -1/8 (* D D)) -1/8 (* D D) (* M (/ M d)) (/ M d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (* (sqrt (/ h l)) d) (sqrt (/ h l)))
11.0ms	D	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l))) (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (* (* (/ (/ D d) 2) M) 1/2) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (pow l -1)) (sqrt h)) d) (/ (sqrt (pow l -1)) (sqrt h)) (sqrt (pow l -1)) (pow l -1) -1 (sqrt h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/ (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* -1/8 (* D D)) (* M (/ M d))) (* -1/8 (* D D)) -1/8 (* D D) (* M (/ M d)) (/ M d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (* (sqrt (/ h l)) d) (sqrt (/ h l)))
10.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l))) (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (* (* (/ (/ D d) 2) M) 1/2) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (pow l -1)) (sqrt h)) d) (/ (sqrt (pow l -1)) (sqrt h)) (sqrt (pow l -1)) (pow l -1) -1 (sqrt h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/ (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* -1/8 (* D D)) (* M (/ M d))) (* -1/8 (* D D)) -1/8 (* D D) (* M (/ M d)) (/ M d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (* (sqrt (/ h l)) d) (sqrt (/ h l)))
10.0ms	d	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l))) (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (* (* (/ (/ D d) 2) M) 1/2) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (pow l -1)) (sqrt h)) d) (/ (sqrt (pow l -1)) (sqrt h)) (sqrt (pow l -1)) (pow l -1) -1 (sqrt h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/ (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* -1/8 (* D D)) (* M (/ M d))) (* -1/8 (* D D)) -1/8 (* D D) (* M (/ M d)) (/ M d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (* (sqrt (/ h l)) d) (sqrt (/ h l)))

simplify167.0ms (1.2%)

Memory

-1.8MiB live, 187.6MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	1321
1	716	1228
2	2933	1200
0	8765	1172

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

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

rewrite101.0ms (0.7%)

Memory

42.1MiB live, 166.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	599
0	130	527
1	414	503
0	2121	496

Stop Event

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

Counts

59 → 720

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

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

eval163.0ms (1.2%)

Memory: -5.4MiB live, 326.5MiB allocated; 74ms collecting garbage
Compiler: Compiled 42 987 to 3 656 computations (91.5% saved)

prune112.0ms (0.8%)

Memory

-2.6MiB live, 138.4MiB allocated; 12ms collecting garbage

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	834	22	856
Fresh	14	15	29
Picked	4	1	5
Done	0	1	1
Total	852	39	891

Accuracy

94.5%

Counts

891 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.8%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
▶	68.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (.f64 (/.f64 M d) D)) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.1%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (.f64 M D)) (.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)))
	55.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.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)))
	58.6%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64))) (.f64 (/.f64 D d) (/.f64 D d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	51.7%	(.f64 (.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 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)))
▶	71.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l)))
	43.6%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)))
	36.9%	(.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 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)))
	50.9%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 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)))
	65.1%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)))
	32.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 d (sqrt.f64 (.f64 l h)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l))))
	35.1%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)))
	31.9%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) d)) (/.f64 h l))))
▶	32.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx ( (* (/ (/ D d) 2) M) 1/2) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 M d) D)))) (/.f64 h l))))
	24.1%	(.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 #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))))
	44.3%	(.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 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)))
	10.1%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (.f64 (.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (*.f64 D D)))) (sqrt.f64 (/.f64 d l)))
	47.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 (.f64 (/.f64 M d) M) #s(literal -1/8 binary64)) (.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	33.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 (.f64 (/.f64 M d) M) #s(literal -1/8 binary64)) (.f64 D D))) h (.f64 h (.f64 (sqrt.f64 (/.f64 h l)) d))) (.f64 h h)))
	48.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) M) (.f64 (/.f64 M d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	47.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M (/.f64 M d))) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
▶	58.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 D (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 M d) M))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	26.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (.f64 (.f64 M M) (.f64 (*.f64 D (/.f64 D d)) #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))))) h))
	13.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	14.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (.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))))))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (.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))))))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
▶	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h)) d))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 h)) d))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	25.1%	#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 (/.f64 #s(literal 1 binary64) h) l)) d))
✓	25.1%	#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))
	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 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
	28.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))

Compiler

Compiled 3 560 to 2 322 computations (34.8% saved)

series557.0ms (4.1%)

Memory

21.7MiB live, 861.1MiB allocated; 174ms collecting garbage

Counts

62 → 121

Calls

Call 1

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

Calls

15 calls:

Time	Variable		Point	Expression
133.0ms	d	@	0	((* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/4) (sqrt (/ d l)))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/4) (sqrt (/ d l)))) (pow (/ d h) 1/4) (/ d h) d h 1/4 (* (pow (/ d h) 1/4) (sqrt (/ d l))) (sqrt (/ d l)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D 2 M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l))) (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (* (* (/ (/ D d) 2) M) 1/2) (* 1/4 (* (/ M d) D)) (* (/ M d) D) (/ M d) (/ h l) (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4) (* (* (/ M d) D) (* (/ M d) D)) 4 (sqrt (/ d h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/ (+ (* (* -1/8 D) (* D (* (pow (/ h l) 3/2) (* (/ M d) M)))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 D) (* D (* (pow (/ h l) 3/2) (* (/ M d) M)))) (* (sqrt (/ h l)) d)) (* -1/8 D) -1/8 (* D (* (pow (/ h l) 3/2) (* (/ M d) M))) (* (pow (/ h l) 3/2) (* (/ M d) M)) (pow (/ h l) 3/2) 3/2 (* (/ M d) M) (* (sqrt (/ h l)) d) (sqrt (/ h l)))
94.0ms	h	@	-inf	((* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/4) (sqrt (/ d l)))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/4) (sqrt (/ d l)))) (pow (/ d h) 1/4) (/ d h) d h 1/4 (* (pow (/ d h) 1/4) (sqrt (/ d l))) (sqrt (/ d l)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D 2 M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l))) (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (* (* (/ (/ D d) 2) M) 1/2) (* 1/4 (* (/ M d) D)) (* (/ M d) D) (/ M d) (/ h l) (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4) (* (* (/ M d) D) (* (/ M d) D)) 4 (sqrt (/ d h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/ (+ (* (* -1/8 D) (* D (* (pow (/ h l) 3/2) (* (/ M d) M)))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 D) (* D (* (pow (/ h l) 3/2) (* (/ M d) M)))) (* (sqrt (/ h l)) d)) (* -1/8 D) -1/8 (* D (* (pow (/ h l) 3/2) (* (/ M d) M))) (* (pow (/ h l) 3/2) (* (/ M d) M)) (pow (/ h l) 3/2) 3/2 (* (/ M d) M) (* (sqrt (/ h l)) d) (sqrt (/ h l)))
53.0ms	l	@	inf	((* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/4) (sqrt (/ d l)))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/4) (sqrt (/ d l)))) (pow (/ d h) 1/4) (/ d h) d h 1/4 (* (pow (/ d h) 1/4) (sqrt (/ d l))) (sqrt (/ d l)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D 2 M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l))) (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (* (* (/ (/ D d) 2) M) 1/2) (* 1/4 (* (/ M d) D)) (* (/ M d) D) (/ M d) (/ h l) (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4) (* (* (/ M d) D) (* (/ M d) D)) 4 (sqrt (/ d h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/ (+ (* (* -1/8 D) (* D (* (pow (/ h l) 3/2) (* (/ M d) M)))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 D) (* D (* (pow (/ h l) 3/2) (* (/ M d) M)))) (* (sqrt (/ h l)) d)) (* -1/8 D) -1/8 (* D (* (pow (/ h l) 3/2) (* (/ M d) M))) (* (pow (/ h l) 3/2) (* (/ M d) M)) (pow (/ h l) 3/2) 3/2 (* (/ M d) M) (* (sqrt (/ h l)) d) (sqrt (/ h l)))
49.0ms	l	@	-inf	((* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/4) (sqrt (/ d l)))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/4) (sqrt (/ d l)))) (pow (/ d h) 1/4) (/ d h) d h 1/4 (* (pow (/ d h) 1/4) (sqrt (/ d l))) (sqrt (/ d l)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D 2 M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l))) (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (* (* (/ (/ D d) 2) M) 1/2) (* 1/4 (* (/ M d) D)) (* (/ M d) D) (/ M d) (/ h l) (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4) (* (* (/ M d) D) (* (/ M d) D)) 4 (sqrt (/ d h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/ (+ (* (* -1/8 D) (* D (* (pow (/ h l) 3/2) (* (/ M d) M)))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 D) (* D (* (pow (/ h l) 3/2) (* (/ M d) M)))) (* (sqrt (/ h l)) d)) (* -1/8 D) -1/8 (* D (* (pow (/ h l) 3/2) (* (/ M d) M))) (* (pow (/ h l) 3/2) (* (/ M d) M)) (pow (/ h l) 3/2) 3/2 (* (/ M d) M) (* (sqrt (/ h l)) d) (sqrt (/ h l)))
43.0ms	d	@	-inf	((* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/4) (sqrt (/ d l)))) (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l))) (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/4) (sqrt (/ d l)))) (pow (/ d h) 1/4) (/ d h) d h 1/4 (* (pow (/ d h) 1/4) (sqrt (/ d l))) (sqrt (/ d l)) (/ d l) l (- 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l)) 1 (/ (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) l) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) (* 1/2 h))) (* (/ (/ D d) 2) M) (/ (/ D d) 2) (/ D d) D 2 M (* (* (/ (/ D d) 2) M) (* 1/2 h)) (* 1/2 h) 1/2 (* (* (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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (- 1 (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l))) (* (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (/ h l)) (* (* (/ (/ D d) 2) M) (* (* (/ (/ D d) 2) M) 1/2)) (* (* (/ (/ D d) 2) M) 1/2) (* 1/4 (* (/ M d) D)) (* (/ M d) D) (/ M d) (/ h l) (* (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4) (* (* (/ M d) D) (* (/ M d) D)) 4 (sqrt (/ d h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/ (+ (* (* -1/8 D) (* D (* (pow (/ h l) 3/2) (* (/ M d) M)))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 D) (* D (* (pow (/ h l) 3/2) (* (/ M d) M)))) (* (sqrt (/ h l)) d)) (* -1/8 D) -1/8 (* D (* (pow (/ h l) 3/2) (* (/ M d) M))) (* (pow (/ h l) 3/2) (* (/ M d) M)) (pow (/ h l) 3/2) 3/2 (* (/ M d) M) (* (sqrt (/ h l)) d) (sqrt (/ h l)))

simplify244.0ms (1.8%)

Memory

30.0MiB live, 261.5MiB allocated; 104ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	2097
1	1257	1907
2	4847	1882
0	8291	1844

Stop Event

1×	iter limit
1×	node limit

Counts

121 → 116

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

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

rewrite134.0ms (1%)

Memory

3.5MiB live, 188.9MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	714
0	137	646
1	445	617
0	2722	617

Stop Event

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

Counts

62 → 794

Calls

Call 1

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

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

eval176.0ms (1.3%)

Memory: -15.8MiB live, 252.9MiB allocated; 51ms collecting garbage
Compiler: Compiled 52 660 to 4 590 computations (91.3% saved)

prune126.0ms (0.9%)

Memory

22.0MiB live, 272.2MiB allocated; 58ms collecting garbage

Pruning

49 alts after pruning (44 fresh and 5 done)

	Pruned	Kept	Total
New	1 055	25	1 080
Fresh	13	19	32
Picked	2	3	5
Done	0	2	2
Total	1 070	49	1 119

Accuracy

96.7%

Counts

1 119 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 M (.f64 (.f64 (/.f64 M d) D) D)) d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	41.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (.f64 (/.f64 M d) D)) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
	34.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (.f64 (/.f64 M d) D)) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
✓	68.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (.f64 (/.f64 M d) D)) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.1%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (/.f64 M d) D)) (*.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	55.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.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)))
	58.6%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (.f64 M M))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	51.7%	(.f64 (.f64 (fma.f64 #s(approx (* -1/2 (pow (* (/ D 2) (/ M d)) 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)))
	41.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l)))
	72.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d)) h)) (*.f64 #s(literal 2 binary64) l))))
	69.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d)) (/.f64 h l))) (*.f64 #s(literal 2 binary64) d))))
	43.6%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)))
	38.3%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	57.9%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (/.f64 D d)) d)) (.f64 h (/.f64 (.f64 M M) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	65.1%	(.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)))
	32.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 d (sqrt.f64 (.f64 l h)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l))))
	34.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(approx (* (* (/ (/ D d) 2) M) 1/2) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d))) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (neg.f64 h)) (neg.f64 l))))
	33.9%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (/.f64 h l) #s(approx ( (* (/ (/ D d) 2) M) 1/2) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d))))) (*.f64 #s(literal 2 binary64) d))))
	35.1%	(.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 #s(approx ( (* (/ (/ D d) 2) M) 1/2) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d))) (.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) h)) l)))
	33.0%	(.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 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(approx ( (* (/ (/ D d) 2) M) 1/2) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d))) M) (/.f64 h l)))))
	31.9%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx ( (* (/ (/ D d) 2) M) 1/2) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d))) (/.f64 h l))))
	24.1%	(.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 #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))))
	44.3%	(.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 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)))
	39.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) 1/2) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 M d) D)))) (/.f64 h l))))
	10.1%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 2)) (/ h l)) 1) (sqrt (/ d h))) (.f64 (.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (*.f64 D D)))) (sqrt.f64 (/.f64 d l)))
	41.4%	(.f64 #s(approx ( (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	50.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) D) M) (/.f64 M d)) (/.f64 (.f64 #s(literal -1/8 binary64) D) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	56.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (fma.f64 (.f64 #s(literal -1/8 binary64) D) (/.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) D) M) (/.f64 M d)) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	33.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 (.f64 (/.f64 M d) M) #s(literal -1/8 binary64)) (.f64 D D))) h (.f64 h (.f64 (sqrt.f64 (/.f64 h l)) d))) (.f64 h h)))
	58.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) D) M) (/.f64 M d)) (.f64 #s(literal -1/8 binary64) D) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	61.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 M d)) (.f64 M D)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
✓	58.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 D (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 M d) M))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	63.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 D (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (/.f64 M d) M)))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	13.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 #s(approx (+ (* (* -1/8 D) (* D (* (pow (/ h l) 3/2) (* (/ M d) M)))) (* (sqrt (/ h l)) d)) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M (/.f64 M d)) #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))))) h))
	14.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (.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))))))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (.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))))))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal 1/2 binary64)))))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 h)) d))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	25.1%	#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 (/.f64 #s(literal 1 binary64) h) l)) d))
✓	25.1%	#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))
	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 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
	28.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))

Compiler

Compiled 7 110 to 2 111 computations (70.3% saved)

regimes257.0ms (1.9%)

Memory

-4.5MiB live, 361.4MiB allocated; 39ms collecting garbage

Counts

104 → 3

Calls

Call 1

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

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

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

Calls

7 calls:

54.0ms	D
43.0ms	M
41.0ms	d
29.0ms	l
28.0ms	h

Results

Accuracy	Segments	Branch
72.1%	1	`(*.f64 M D)`
77.4%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
85.4%	3	`d`
80.4%	2	`h`
82.3%	3	`l`
72.1%	1	`M`
72.1%	1	`D`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes35.0ms (0.3%)

Memory

-18.0MiB live, 36.7MiB allocated; 10ms collecting garbage

Counts

86 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
85.0%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes25.0ms (0.2%)

Memory

35.7MiB live, 35.7MiB allocated; 0ms collecting garbage

Counts

82 → 3

Calls

Call 1

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

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

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
83.9%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes37.0ms (0.3%)

Memory

3.2MiB live, 47.3MiB allocated; 8ms collecting garbage

Counts

81 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

32.0ms

Results

Accuracy	Segments	Branch
83.8%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes52.0ms (0.4%)

Memory

5.9MiB live, 91.3MiB allocated; 17ms collecting garbage

Counts

78 → 4

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	d
23.0ms	l

Results

Accuracy	Segments	Branch
78.3%	2	`l`
83.8%	4	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes123.0ms (0.9%)

Memory

-87.8MiB live, 67.5MiB allocated; 111ms collecting garbage

Counts

76 → 4

Calls

Call 1

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

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

Calls

2 calls:

96.0ms	d
19.0ms	h

Results

Accuracy	Segments	Branch
79.0%	3	`h`
82.0%	4	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes33.0ms (0.2%)

Memory

28.3MiB live, 74.1MiB allocated; 3ms collecting garbage

Counts

54 → 4

Calls

Call 1

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

Calls

2 calls:

16.0ms	l
14.0ms	d

Results

Accuracy	Segments	Branch
79.3%	3	`l`
80.9%	4	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes34.0ms (0.2%)

Memory

-22.7MiB live, 74.4MiB allocated; 6ms collecting garbage

Counts

53 → 3

Calls

Call 1

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

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

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

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

Calls

2 calls:

16.0ms	l
15.0ms	d

Results

Accuracy	Segments	Branch
79.3%	3	`l`
77.2%	2	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes43.0ms (0.3%)

Memory

14.1MiB live, 58.2MiB allocated; 5ms collecting garbage

Counts

40 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

20.0ms

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

11.0ms

10.0ms

Results

Accuracy	Segments	Branch
75.3%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
78.5%	3	`h`
78.9%	3	`l`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes106.0ms (0.8%)

Memory

1.2MiB live, 91.7MiB allocated; 20ms 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 (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 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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h)) d))
(.f64 #s(approx ( (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 #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 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (/.f64 h l) #s(approx ( (* (/ (/ D d) 2) M) 1/2) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d))))) (*.f64 #s(literal 2 binary64) d))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx ( (* (/ (/ D d) 2) M) 1/2) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 M d) D)))) (/.f64 h l))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx ( (* (/ (/ D d) 2) M) 1/2) (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d))) (/.f64 h l))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(approx ( (* (/ (/ D d) 2) M) 1/2) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d))) M) (/.f64 h l)))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( (* (/ (/ D d) 2) M) 1/2) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d))) (.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) h)) l)))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(approx (* (* (/ (/ D d) 2) M) 1/2) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 M d) D)))) (/.f64 h l))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (/.f64 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 #s(approx (+ (* (* -1/2 (pow (* (/ D 2) (/ M d)) 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 (* (/ D 2) (/ M d)) 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 #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(approx (* (* (/ (/ D d) 2) M) 1/2) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d))) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (neg.f64 h)) (neg.f64 l))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) d)) (/.f64 h l))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 d (sqrt.f64 (.f64 l h)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.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 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (/.f64 M d) D)) (*.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1/2 binary64))) (/.f64 h l))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)))

Outputs

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

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

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

Calls

7 calls:

35.0ms	M
28.0ms	h
8.0ms	D
8.0ms	l
8.0ms	d

Results

Accuracy	Segments	Branch
68.1%	1	`M`
69.7%	2	`(*.f64 M D)`
68.1%	1	`D`
71.4%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
73.8%	3	`h`
72.0%	2	`d`
74.2%	3	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes10.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
74.2%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes70.0ms (0.5%)

Memory

-7.4MiB live, 91.7MiB allocated; 16ms collecting garbage

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

30.0ms	h
10.0ms	D
6.0ms	M
6.0ms	d
6.0ms	l

Results

Accuracy	Segments	Branch
52.1%	2	`M`
47.8%	2	`D`
54.4%	3	`(*.f64 M D)`
58.8%	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))))`
60.0%	3	`d`
57.7%	2	`h`
59.9%	3	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes21.0ms (0.2%)

Memory

1.0MiB live, 46.2MiB allocated; 5ms collecting garbage

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

8.0ms	l
6.0ms	h
5.0ms	d

Results

Accuracy	Segments	Branch
58.2%	3	`h`
57.9%	3	`l`
58.7%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes12.0ms (0.1%)

Memory

-23.0MiB live, 23.9MiB allocated; 2ms collecting garbage

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

6.0ms	h
5.0ms	d

Results

Accuracy	Segments	Branch
58.2%	3	`h`
56.4%	2	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes58.0ms (0.4%)

Memory

4.3MiB live, 59.6MiB allocated; 4ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

#s(approx (* (* (pow (/ 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 (* (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 #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))))

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

Calls

6 calls:

35.0ms	(*.f64 M D)
4.0ms	M
4.0ms	d
4.0ms	h
4.0ms	l

Results

Accuracy	Segments	Branch
48.5%	3	`M`
46.6%	2	`(*.f64 M D)`
50.9%	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))))`
51.7%	3	`l`
52.8%	3	`d`
53.2%	4	`h`

Compiler

Compiled 42 to 48 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 #s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))

Calls

2 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
51.7%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
48.9%	2	`d`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes46.0ms (0.3%)

Memory

2.2MiB live, 47.9MiB allocated; 2ms 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 (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 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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h)) d))

Outputs

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

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

Calls

4 calls:

34.0ms	l
4.0ms	d
4.0ms	h
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
48.9%	2	`d`
48.5%	2	`h`
48.5%	2	`l`
38.1%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes4.0ms (0%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms 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 (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 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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 h)) d))

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
48.9%	2	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes18.0ms (0.1%)

Memory

4.2MiB live, 47.5MiB allocated; 8ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
31.9%	2	`(*.f64 M D)`
30.3%	2	`M`
30.7%	2	`D`
44.1%	2	`l`
43.7%	2	`h`
44.1%	2	`d`

Compiler

Compiled 8 to 31 computations (-287.5% saved)

regimes22.0ms (0.2%)

Memory

-15.3MiB live, 28.8MiB allocated; 11ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Calls

7 calls:

11.0ms	l
2.0ms	D
2.0ms	(*.f64 M D)
2.0ms	d
2.0ms	h

Results

Accuracy	Segments	Branch
25.1%	1	`M`
25.1%	1	`D`
25.1%	1	`(*.f64 M D)`
25.1%	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))))`
25.1%	1	`h`
25.1%	1	`d`
25.1%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes8.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB 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	D
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	(*.f64 M D)
1.0ms	M

Results

Accuracy	Segments	Branch
24.8%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
24.8%	1	`M`
24.8%	1	`D`
24.8%	1	`(*.f64 M D)`
24.8%	1	`d`
24.8%	1	`h`
24.8%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch185.0ms (1.4%)

Memory

-13.5MiB live, 136.3MiB allocated; 32ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	1.915506451316467e-187	1.019517075517171e-179
101.0ms	-1.81132061800638e-101	-7.591644003996589e-106

Samples

106.0ms	272×	0	valid
34.0ms	281×	0	invalid

Compiler

Compiled 1 788 to 1 134 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-sub: 65.0ms (53.6% of total)

ival-div: 18.0ms (14.8% of total)

ival-mult: 18.0ms (14.8% of total)

ival-pow: 13.0ms (10.7% of total)

ival-pow2: 5.0ms (4.1% of total)

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch68.0ms (0.5%)

Memory

-32.0MiB live, 110.8MiB allocated; 19ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	1.915506451316467e-187	1.019517075517171e-179
2.0ms	-1.81132061800638e-101	-7.591644003996589e-106

Samples

24.0ms	168×	0	invalid
23.0ms	128×	0	valid

Compiler

Compiled 1 686 to 1 117 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 14.0ms (37.6% of total)

ival-mult: 13.0ms (34.9% of total)

ival-pow: 5.0ms (13.4% of total)

ival-pow2: 3.0ms (8.1% 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)

bsearch81.0ms (0.6%)

Memory

-3.5MiB live, 42.9MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.915506451316467e-187	1.019517075517171e-179
49.0ms	-5.139472016226291e-192	-1.2978213299237862e-197

Samples

22.0ms	144×	0	valid
16.0ms	137×	0	invalid

Compiler

Compiled 1 874 to 1 227 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 9.0ms (30.7% of total)

ival-mult: 9.0ms (30.7% of total)

ival-pow: 6.0ms (20.5% of total)

ival-pow2: 3.0ms (10.2% of total)

ival-sub: 1.0ms (3.4% 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)

bsearch5.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.915506451316467e-187	1.019517075517171e-179
2.0ms	-5.139472016226291e-192	-1.2978213299237862e-197

Compiler

Compiled 1 793 to 1 218 computations (32.1% saved)

bsearch137.0ms (1%)

Memory

34.0MiB live, 175.0MiB allocated; 17ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	7.19435314340257e+36	1.4443921601851318e+51
62.0ms	1.019517075517171e-179	1.5806587022721696e-171
2.0ms	-5.139472016226291e-192	-1.2978213299237862e-197

Samples

51.0ms	304×	0	valid
43.0ms	347×	0	invalid

Compiler

Compiled 2 609 to 1 821 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 25.0ms (35.6% of total)

ival-div: 22.0ms (31.3% of total)

ival-pow: 13.0ms (18.5% of total)

ival-pow2: 6.0ms (8.5% of total)

ival-sub: 3.0ms (4.3% 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)

bsearch53.0ms (0.4%)

Memory

4.2MiB live, 95.5MiB allocated; 11ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	1.109549144681672e+172	1.3459702474046574e+173
5.0ms	1.019517075517171e-179	1.5806587022721696e-171
2.0ms	-5.139472016226291e-192	-1.2978213299237862e-197

Samples

17.0ms	96×	0	valid
16.0ms	130×	0	invalid

Compiler

Compiled 2 447 to 1 605 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 9.0ms (36.4% of total)

ival-mult: 7.0ms (28.3% of total)

ival-pow: 4.0ms (16.2% of total)

ival-pow2: 2.0ms (8.1% of total)

ival-sub: 1.0ms (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)

bsearch116.0ms (0.8%)

Memory

-32.9MiB live, 108.0MiB allocated; 23ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.109549144681672e+172	1.3459702474046574e+173
56.0ms	1.019517075517171e-179	1.5806587022721696e-171
48.0ms	-5.139472016226291e-192	-1.2978213299237862e-197

Samples

47.0ms	168×	0	invalid
25.0ms	160×	0	valid

Compiler

Compiled 2 447 to 1 605 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 38.0ms (62.7% of total)

ival-mult: 11.0ms (18.1% of total)

ival-pow: 6.0ms (9.9% of total)

ival-pow2: 3.0ms (4.9% of total)

ival-sub: 2.0ms (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)

bsearch159.0ms (1.2%)

Memory

27.3MiB live, 220.3MiB allocated; 51ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
100.0ms	2.5014273330643635e+35	2.8800186377918174e+37
48.0ms	-3.2771279243575215e-306	1.8045014977232113e-307

Samples

88.0ms	240×	0	valid
41.0ms	289×	0	invalid

Compiler

Compiled 1 367 to 912 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-pow: 34.0ms (30.7% of total)

ival-pow2: 33.0ms (29.8% of total)

ival-div: 19.0ms (17.2% of total)

ival-mult: 17.0ms (15.4% of total)

ival-sub: 6.0ms (5.4% 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)

bsearch94.0ms (0.7%)

Memory

-4.3MiB live, 93.0MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
86.0ms	2.513068160364034e+136	1.4875683159715497e+140
2.0ms	-3.2771279243575215e-306	1.8045014977232113e-307

Samples

56.0ms	128×	0	valid
21.0ms	145×	0	invalid

Compiler

Compiled 1 542 to 1 006 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 11.0ms (33.4% of total)

ival-mult: 9.0ms (27.4% of total)

ival-pow: 8.0ms (24.3% of total)

ival-pow2: 3.0ms (9.1% of total)

ival-sub: 1.0ms (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)

bsearch4.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.513068160364034e+136	1.4875683159715497e+140
2.0ms	-3.2771279243575215e-306	1.8045014977232113e-307

Compiler

Compiled 1 662 to 1 102 computations (33.7% saved)

bsearch4.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.513068160364034e+136	1.4875683159715497e+140
2.0ms	-3.2771279243575215e-306	1.8045014977232113e-307

Compiler

Compiled 1 790 to 1 230 computations (31.3% saved)

bsearch128.0ms (0.9%)

Memory

9.4MiB live, 143.8MiB allocated; 16ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
76.0ms	-1.2978213299237862e-197	-2.571690234648225e-205
43.0ms	-7.399593671095266e+127	-3.606158846795597e+127

Samples

73.0ms	224×	0	valid
30.0ms	220×	0	invalid

Compiler

Compiled 1 502 to 1 027 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-div: 44.0ms (50.4% of total)

ival-mult: 27.0ms (30.9% of total)

ival-pow: 9.0ms (10.3% of total)

ival-pow2: 4.0ms (4.6% of total)

ival-sub: 2.0ms (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)

bsearch4.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-1.2978213299237862e-197	-2.571690234648225e-205
1.0ms	-7.399593671095266e+127	-3.606158846795597e+127

Compiler

Compiled 1 502 to 1 027 computations (31.6% saved)

bsearch181.0ms (1.3%)

Memory

-26.8MiB live, 214.6MiB allocated; 33ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
86.0ms	3.1646905333712008e+215	1.7839623934362206e+221
77.0ms	2.848189987300602e-303	9.27980606325143e-295

Samples

80.0ms	288×	0	valid
61.0ms	341×	0	invalid

Compiler

Compiled 1 919 to 1 308 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-pow: 62.0ms (52.6% of total)

ival-div: 24.0ms (20.3% of total)

ival-mult: 21.0ms (17.8% of total)

ival-pow2: 6.0ms (5.1% of total)

ival-sub: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch125.0ms (0.9%)

Memory

7.1MiB live, 250.4MiB allocated; 35ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
55.0ms	15340955362.55275	960318260344168.4
58.0ms	2.2488258057517978e-278	4.194227561088941e-273

Samples

47.0ms	292×	0	invalid
46.0ms	272×	0	valid

Compiler

Compiled 1 852 to 1 205 computations (34.9% saved)

Precisions

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

ival-mult: 22.0ms (29.8% of total)

ival-div: 21.0ms (28.5% of total)

ival-pow: 19.0ms (25.7% of total)

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

ival-pow2: 5.0ms (6.8% 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)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.766931959476069e-271
0.0ms	-7.34477415236076e-115	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch89.0ms (0.6%)

Memory

-7.4MiB live, 38.5MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
83.0ms	3.125982170303846e-252	1.4442657668881373e-249

Samples

59.0ms	128×	0	valid
15.0ms	125×	0	invalid

Compiler

Compiled 814 to 542 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 48.0ms (73% of total)

ival-mult: 8.0ms (12.2% of total)

ival-pow: 5.0ms (7.6% of total)

ival-pow2: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% 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)

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.125982170303846e-252	1.4442657668881373e-249

Compiler

Compiled 798 to 526 computations (34.1% saved)

bsearch45.0ms (0.3%)

Memory

6.0MiB live, 50.1MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	-1.8889776227357397e-265	-8.67430613333217e-267

Samples

18.0ms	112×	0	valid
12.0ms	82×	0	invalid

Compiler

Compiled 696 to 457 computations (34.3% saved)

Precisions

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

ival-div: 7.0ms (30.8% of total)

ival-mult: 7.0ms (30.8% of total)

ival-pow: 6.0ms (26.4% of total)

ival-pow2: 2.0ms (8.8% of total)

ival-sub: 1.0ms (4.4% 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)

simplify78.0ms (0.6%)

Memory

-11.1MiB live, 83.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	2753
1	451	2753
2	1040	2753
3	5233	2753

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -3925019814692101/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 d #s(literal 7848857843307815/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 D (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (/.f64 M d) M)))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (.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 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 #s(literal 1/2 binary64) h))) l)))))
(if (<=.f64 d #s(literal -3925019814692101/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 d #s(literal 2449441655328671/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 M d)) (.f64 M D)) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (.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 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l)))))
(if (<=.f64 d #s(literal -3450649151415733/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 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 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 d #s(literal 2449441655328671/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 M d)) (.f64 M D)) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (.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 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l)))))
(if (<=.f64 d #s(literal -3450649151415733/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 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 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 d #s(literal 2449441655328671/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 M d)) (.f64 M D)) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (.f64 (.f64 (sqrt.f64 d) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) h)) l)))))
(if (<=.f64 d #s(literal -3450649151415733/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 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 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 d #s(literal 467650163306275/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 M d)) (.f64 M D)) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (if (<=.f64 d #s(literal 155000000000000008788808081817930301440 binary64)) (.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) h)) l))) (/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)))))
(if (<=.f64 d #s(literal -3450649151415733/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 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 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 d #s(literal 912488123524439/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 M d)) (.f64 M D)) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (if (<=.f64 d #s(literal 69999999999999995490904909801491593262202740133975821450132789946870585668484308327294346552371139093180887505481027352498043380619511353213347040685780132742509791086116864 binary64)) (.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))))))
(if (<=.f64 d #s(literal -4376433070088247/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064 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 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 d #s(literal 7883897387251153/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 D (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 M d) M))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (if (<=.f64 d #s(literal 69999999999999995490904909801491593262202740133975821450132789946870585668484308327294346552371139093180887505481027352498043380619511353213347040685780132742509791086116864 binary64)) (.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))))))
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(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 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l))) (if (<=.f64 l #s(literal 1250000000000000041051953111506157598733765707949514619390391782823433758623484994430001644534659265854936880980403044473310613292764364800 binary64)) (.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 #s(literal 1/2 binary64) h))) l))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
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(if (<=.f64 d #s(literal -36499999999999997934053562932104164185050898624300667726728322071819361062816245272291666755350076079476158666911813401520898048 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) (if (<=.f64 d #s(literal -7928750128209107/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) (.f64 (.f64 #s(approx (+ ( (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 D D) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( (* (/ (/ D d) 2) M) 1/2) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d))) (.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) h)) l)))))
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(if (<=.f64 h #s(literal 8956398538073743/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) (if (<=.f64 h #s(literal 144999999999999990704601207987021450028021247129766988807593061117378621522191437178492741924986533457245311501472671338750516930284935425214354870323555298617187956078487750505431531303621516052503416190285911499833606144 binary64)) (.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 (/.f64 h l) #s(approx ( (* (/ (/ D d) 2) M) 1/2) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 M d))))) (.f64 #s(literal 2 binary64) d)))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h)) d))))
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(if (<=.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)))) #s(literal -2772669694120815/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (pow (* (/ D 2) (/ M d)) 2) (* 1/2 h)) l))) (/.f64 #s(approx (+ (* (* (* -1/8 (* D D)) (* M (/ M d))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) (if (<=.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)))) #s(literal 0 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) (.f64 #s(approx (* (+ (* (* -1/2 (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) (/ h l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))))
(if (<=.f64 d #s(literal 3829039036398941/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h)) d)))
(if (<=.f64 d #s(literal 3829039036398941/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( 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)))))
(if (<=.f64 l #s(literal -6099092788678407/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
#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))
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Outputs
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derivations605.0ms (4.4%)

Memory

4.2MiB live, 531.5MiB allocated; 116ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 3 031 to 304 computations (90% saved)

preprocess156.0ms (1.1%)

Memory: 39.4MiB live, 272.6MiB allocated; 30ms collecting garbage
Compiler: Compiled 8 814 to 1 912 computations (78.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze517.0ms (3.8%)

sample5.6s (41.2%)

explain358.0ms (2.6%)

preprocess221.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

series133.0ms (1%)

simplify122.0ms (0.9%)

rewrite76.0ms (0.6%)

eval31.0ms (0.2%)

prune44.0ms (0.3%)

series827.0ms (6%)

simplify161.0ms (1.2%)

rewrite131.0ms (1%)

eval107.0ms (0.8%)

prune48.0ms (0.4%)

series150.0ms (1.1%)

simplify167.0ms (1.2%)

rewrite101.0ms (0.7%)

eval163.0ms (1.2%)

prune112.0ms (0.8%)

series557.0ms (4.1%)

simplify244.0ms (1.8%)

rewrite134.0ms (1%)

eval176.0ms (1.3%)

prune126.0ms (0.9%)

regimes257.0ms (1.9%)

regimes35.0ms (0.3%)

regimes25.0ms (0.2%)

regimes37.0ms (0.3%)

regimes52.0ms (0.4%)

regimes123.0ms (0.9%)

regimes33.0ms (0.2%)

regimes34.0ms (0.2%)

regimes43.0ms (0.3%)

regimes106.0ms (0.8%)

regimes10.0ms (0.1%)

regimes70.0ms (0.5%)

regimes21.0ms (0.2%)

regimes12.0ms (0.1%)

regimes58.0ms (0.4%)

regimes9.0ms (0.1%)

regimes46.0ms (0.3%)

regimes4.0ms (0%)

regimes18.0ms (0.1%)

regimes22.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch185.0ms (1.4%)

bsearch68.0ms (0.5%)

bsearch81.0ms (0.6%)

bsearch5.0ms (0%)

bsearch137.0ms (1%)

bsearch53.0ms (0.4%)

bsearch116.0ms (0.8%)

bsearch159.0ms (1.2%)

bsearch94.0ms (0.7%)

bsearch4.0ms (0%)

bsearch4.0ms (0%)

bsearch128.0ms (0.9%)

bsearch4.0ms (0%)

bsearch181.0ms (1.3%)

bsearch125.0ms (0.9%)

bsearch1.0ms (0%)

bsearch89.0ms (0.6%)

bsearch2.0ms (0%)

bsearch45.0ms (0.3%)

simplify78.0ms (0.6%)

derivations605.0ms (4.4%)

preprocess156.0ms (1.1%)

end0.0ms (0%)

Profiling