Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze517.0ms (2.6%)

Memory

-15.1MiB live, 620.1MiB allocated

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)

sample5.7s (28.5%)

Memory

94.8MiB live, 6 896.3MiB allocated

Samples

2.3s	12 917×	0	invalid
2.0s	8 256×	0	valid

Precisions

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

ival-mult: 1.0s (31.4% of total)

ival-div: 960.0ms (29.8% of total)

ival-pow: 750.0ms (23.3% of total)

ival-pow2: 353.0ms (10.9% of total)

ival-sub: 106.0ms (3.3% of total)

exact: 20.0ms (0.6% of total)

ival-true: 15.0ms (0.5% of total)

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

Bogosity

explain349.0ms (1.7%)

Memory

20.3MiB live, 495.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
55	-	2	(3.8822643052332085e-274 1.9114591352371057e+71 1.4268366249626574e+49 1.749866196525548e+71 1.2669197584628884e+261)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
54	-	1	(9.112824456911565e-85 1.055337145470016e-303 3060988.8278216296 -3.025465676412801e-80 -8.694816797571114e+119)	`(.f64 (.f64 (/.f64 #s(literal 1 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	-	1	(-8.207109141418835e-32 -3.56496153305407e+290 -3.9393157086172e-70 -4.493207912267432e-39 2.240125870676064e-60)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
33	-	3	(-2.188119609409838e-109 -1.7649010011711418e-200 -520327567503505.3 -5.144014551280969e-302 4.630962553480818e-22)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
23	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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 l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	30	0
↳	`(/.f64 d l)`	overflow	30
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	27	0
↳	`(/.f64 d h)`	overflow	27
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	23	0
↳	`(/.f64 d l)`	underflow	23
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	23	0
↳	`(/.f64 d h)`	underflow	23
`*.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**	20	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	17	0
↳	`(*.f64 M D)`	overflow	36
`*.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**	10	0
↳	`(/.f64 d h)`	underflow	23
↳	`(/.f64 d l)`	underflow	23
↳	`(*.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	17
↳	`(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	25
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	76
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	76
↳	`(*.f64 M D)`	overflow	36
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	40
`*.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**	6	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	36
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	40
↳	`(/.f64 h l)`	underflow	33
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	3	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	73
↳	`(.f64 (/.f64 #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	73
↳	`(*.f64 M D)`	underflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	36
↳	`(/.f64 h l)`	overflow	25
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	2	0
↳	`(*.f64 M D)`	underflow	26

Confusion

	Predicted +	Predicted -
+	86	3
-	34	133

Precision

0.7166666666666667

Recall

0.9662921348314607

Confusion?

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

Precision?

0.7166666666666667

Recall?

0.9662921348314607

Freqs

test

number	freq
0	136
1	73
2	42
3	4
4	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

131.0ms

512×

valid

Compiler

Compiled 352 to 70 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-pow: 55.0ms (56.8% of total)

ival-div: 18.0ms (18.6% of total)

ival-mult: 16.0ms (16.5% of total)

ival-pow2: 5.0ms (5.2% of total)

ival-sub: 2.0ms (2.1% of total)

exact: 1.0ms (1% of total)

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

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

preprocess222.0ms (1.1%)

Memory

-5.8MiB live, 349.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 600×	`lower-*.f32`
6 588×	`lower-*.f64`
3 422×	`lower-/.f32`
3 414×	`lower-/.f64`
2 244×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	1960	548
3	4611	548
0	22	29
0	38	27
1	67	27
2	174	27
3	1054	27
4	3441	27
5	6724	27
0	8027	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 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))))

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 40 to 22 computations (45% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

66.7%

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

Compiler

Compiled 40 to 22 computations (45% saved)

simplify188.0ms (0.9%)

Memory

-4.4MiB live, 273.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

6 600×	`lower-*.f32`
6 588×	`lower-*.f64`
3 422×	`lower-/.f32`
3 414×	`lower-/.f64`
2 244×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	174	126
3	1054	126
4	3441	126
5	6724	126
0	8027	124

Stop Event

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

localize77.0ms (0.4%)

Memory

4.1MiB live, 160.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	7.545317436507249	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	12.036629165323877	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	12.517238625490018	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	12.775604356515942	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

51.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-pow: 13.0ms (34.5% of total)

ival-mult: 11.0ms (29.2% of total)

ival-div: 10.0ms (26.5% of total)

ival-pow2: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.2%)

Memory

11.6MiB live, 85.5MiB allocated

Counts

6 → 180

Calls

Call 1

Inputs
#<alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))>
#<alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))>
#<alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))>
#<alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))>
#<alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))>

Outputs
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>

Calls

45 calls:

Time	Variable		Point	Expression
4.0ms	l	@	inf	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
3.0ms	d	@	0	(pow (/ (* M D) (* 2 d)) 2)
2.0ms	D	@	0	(pow (/ (* M D) (* 2 d)) 2)
2.0ms	h	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
2.0ms	l	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))

simplify548.0ms (2.7%)

Memory

-152.8MiB live, 334.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 250×	`lower-*.f64`
11 250×	`lower-*.f32`
5 988×	`associate-r`
2 626×	`associate-*r/`
2 342×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	1972
1	74	1940
2	256	1940
3	1182	1940
4	3310	1940
5	3542	1940
6	3631	1940
7	3657	1940
8	3674	1940
9	3680	1940
10	4767	1940
11	4837	1940
12	4846	1940
13	4846	1940
14	5742	1940
15	7259	1940
16	7277	1940
17	7277	1940
18	7277	1940
19	7277	1940
0	10737	1940

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite309.0ms (1.5%)

Memory

7.4MiB live, 472.7MiB allocated

Rules

4 926×	`lower-*.f32`
4 918×	`lower-*.f64`
2 258×	`lower-/.f32`
2 250×	`lower-/.f64`
1 626×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
0	32	40
1	94	40
2	515	40
3	5058	40
0	8121	40

Stop Event

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

Counts

6 → 610

Calls

Call 1

Inputs
(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 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 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 M D) (.f64 #s(literal 2 binary64) d))

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

eval109.0ms (0.5%)

Memory: -13.0MiB live, 299.1MiB allocated
Compiler: Compiled 30 783 to 3 503 computations (88.6% saved)

prune253.0ms (1.3%)

Memory

16.5MiB live, 438.7MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	763	29	792
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	764	29	793

Accuracy

84.3%

Counts

793 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.5%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 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))))
	66.3%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 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))))
	66.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	52.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal 1/2 binary64))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
	63.6%	(.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 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (/.f64 (.f64 h #s(literal 1/2 binary64)) l)) d)))
	51.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64))) (*.f64 d d))))
	52.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D)))) (.f64 d (.f64 d #s(literal 2 binary64))))))
	55.6%	(.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 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))
▶	71.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	52.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal 1/2 binary64))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) l))))
	69.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
	65.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
▶	55.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))))
▶	53.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
	48.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 M (.f64 #s(literal 1/4 binary64) (.f64 M (.f64 D (/.f64 D (*.f64 d d)))))))) (/.f64 h l))))
	55.2%	(.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 M D) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)) (/.f64 (.f64 h #s(literal 1/2 binary64)) l)))))
▶	51.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	36.1%	(.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))))
	33.1%	(.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))))
	66.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
	66.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	63.9%	(.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	36.1%	(.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))))
	38.7%	(.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))))
	67.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.7%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.1%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))

Compiler

Compiled 2 412 to 1 440 computations (40.3% saved)

simplify215.0ms (1.1%)

Memory

-8.4MiB live, 337.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	384	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	384	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	384	(.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1088	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

6 822×	`lower-*.f32`
6 764×	`lower-*.f64`
4 228×	`lower-/.f32`
4 202×	`lower-/.f64`
1 542×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	861
0	143	848
1	308	750
2	1106	750
3	5039	750
0	8376	742

Stop Event

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

localize278.0ms (1.4%)

Memory

16.7MiB live, 496.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.23284523106167	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.696047882813682	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.8609460716797335	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))
accuracy	7.236490176491772	(.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))
accuracy	2.159774863595257	(.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))))
accuracy	3.2125550455610328	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	6.696047882813682	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.8609460716797335	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	4.673445239763568	(.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (*.f64 M D))
accuracy	4.747478927232351	(.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))
accuracy	6.298586440790034	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D))
accuracy	6.696047882813682	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	3.482252880350311	(.f64 h (.f64 M M))
accuracy	4.23284523106167	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.696047882813682	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	9.29061089623041	(/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l)))
accuracy	3.2125550455610328	(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
accuracy	3.218258649665251	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64)))
accuracy	4.23284523106167	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.696047882813682	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

81.0ms	126×	0	valid
69.0ms	130×	0	invalid

Compiler

Compiled 895 to 71 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 51.0ms (47.4% of total)

ival-div: 33.0ms (30.6% of total)

ival-pow: 11.0ms (10.2% of total)

ival-sub: 4.0ms (3.7% of total)

ival-sqrt: 3.0ms (2.8% of total)

ival-pow2: 3.0ms (2.8% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series63.0ms (0.3%)

Memory

-23.4MiB live, 90.9MiB allocated

Counts

18 → 744

Calls

Call 1

Inputs
#<alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))>
#<alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))>
#<alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))>
#<alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))>
#<alt (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))>
#<alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))>
#<alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))>
#<alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))>
#<alt (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64)))>
#<alt (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))>
#<alt (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l)))>
#<alt (.f64 h (.f64 M M))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D))>
#<alt (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (*.f64 M D))>
#<alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))>
#<alt (.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))))>
#<alt (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))>

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

Calls

186 calls:

Time	Variable		Point	Expression
7.0ms	l	@	inf	(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
5.0ms	d	@	0	(/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))
4.0ms	h	@	inf	(* h (* M M))
1.0ms	d	@	0	(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
1.0ms	d	@	-inf	(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))

simplify281.0ms (1.4%)

Memory

23.8MiB live, 276.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 122×	`lower-*.f64`
5 122×	`lower-*.f32`
4 352×	`lower-fma.f64`
4 352×	`lower-fma.f32`
3 444×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	10434
1	368	10294
2	1292	10268
3	2891	10233
4	5585	10233
0	8211	10158

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

Calls

Call 1

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

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

rewrite358.0ms (1.8%)

Memory

1.6MiB live, 463.2MiB allocated

Rules

5 292×	`lower-/.f32`
5 268×	`lower-/.f64`
4 372×	`lower-*.f32`
4 320×	`lower-*.f64`
1 374×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	248
0	127	222
1	388	212
2	2484	208
0	8333	207

Stop Event

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

Counts

18 → 1 497

Calls

Call 1

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

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

eval376.0ms (1.9%)

Memory: 45.6MiB live, 839.3MiB allocated
Compiler: Compiled 107 814 to 5 722 computations (94.7% saved)

prune467.0ms (2.3%)

Memory

-18.8MiB live, 924.8MiB allocated

Pruning

45 alts after pruning (45 fresh and 0 done)

	Pruned	Kept	Total
New	2 665	42	2 707
Fresh	21	3	24
Picked	5	0	5
Done	0	0	0
Total	2 691	45	2 736

Accuracy

94.1%

Counts

2 736 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (.f64 (.f64 h (.f64 M M)) D)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (neg.f64 h) (.f64 (neg.f64 d) (/.f64 d l)))))
	24.1%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l)))) (sqrt.f64 (neg.f64 h)))
	51.9%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (.f64 (.f64 h (.f64 M M)) D)) (.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	22.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (.f64 (.f64 h (.f64 M M)) D)) (.f64 d (.f64 d l))))) (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l)))) (sqrt.f64 (neg.f64 h)))
	53.6%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 h d)))
	52.1%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (.f64 (.f64 h (.f64 M M)) D)) (.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
	31.4%	(/.f64 (.f64 (sqrt.f64 (neg.f64 d)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))))) (sqrt.f64 (neg.f64 h)))
	26.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))))
	37.1%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	37.2%	(.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (.f64 (.f64 h (.f64 M M)) D)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	66.3%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	63.6%	(.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 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (/.f64 (.f64 h #s(literal 1/2 binary64)) l)) d)))
	65.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	57.4%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 h (.f64 M M)) D)) d) (/.f64 D (.f64 d l))))))
	41.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	31.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))))
	30.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	26.8%	(.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)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
▶	26.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	26.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	41.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
▶	71.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	55.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))))
▶	53.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
	30.9%	(.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 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))))
	31.0%	(.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 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) #s(literal 1 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) (*.f64 M D))))
	33.4%	(.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 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 M D) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (*.f64 M D))) l)))))
	31.8%	(.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 #s(literal 1/4 binary64) (.f64 d d)) D) M) (/.f64 (.f64 (*.f64 h #s(literal 1/2 binary64)) M) l)) D)))
	37.9%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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))))
	36.1%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	30.2%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
	30.5%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	53.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
▶	53.7%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	51.8%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (.f64 (.f64 h (.f64 M M)) D)) (.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	22.7%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (.f64 (.f64 h (.f64 M M)) D)) (.f64 d (.f64 d l))))) (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
	29.2%	(.f64 (sqrt.f64 (neg.f64 d)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (.f64 (.f64 h (.f64 M M)) D)) (.f64 d (*.f64 d l))))))))
	19.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
	20.2%	#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 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (.f64 D (.f64 D (/.f64 (.f64 M M) d))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 h l))))) (*.f64 l l)))
	33.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (.f64 D (/.f64 (.f64 M M) d))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M M) d) (.f64 (*.f64 D D) #s(literal 1/8 binary64)))))
	21.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))))
▶	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))

Compiler

Compiled 3 518 to 2 154 computations (38.8% saved)

simplify190.0ms (0.9%)

Memory

-53.1MiB live, 228.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	384	(*.f64 (/.f64 M d) (/.f64 M d))
cost-diff	384	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
cost-diff	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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	320	(/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 h l))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
cost-diff	0	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
cost-diff	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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
cost-diff	384	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l)
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1088	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

6 584×	`lower-*.f32`
6 522×	`lower-*.f64`
5 102×	`lower-/.f32`
5 076×	`lower-/.f64`
1 806×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	773
0	139	750
1	299	720
2	1093	712
3	5627	712
0	8536	707

Stop Event

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

Calls

Call 1

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

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

localize294.0ms (1.5%)

Memory

32.5MiB live, 379.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.6562925538102915	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))
accuracy	6.079556473702258	(sqrt.f64 (/.f64 d l))
accuracy	7.803783934262207	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.380720211385727	(.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))
accuracy	3.268736585217352	(.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))
accuracy	3.413197930452025	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
accuracy	7.803783934262207	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.983327140130973	(/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l)))
accuracy	3.744956953341114	(.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))
accuracy	6.079556473702258	(sqrt.f64 (/.f64 d l))
accuracy	7.803783934262207	(sqrt.f64 (/.f64 d h))
accuracy	7.983327140130973	(/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))
accuracy	0.125	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
accuracy	0.17534442363150754	(/.f64 #s(literal 1 binary64) (*.f64 h l))
accuracy	5.367121997017853	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
accuracy	16.082616530578917	#s(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 #s(literal 1 binary64) (.f64 h l)))))
accuracy	4.332762390946216	(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
accuracy	4.333004117398462	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64)))
accuracy	6.079556473702258	(sqrt.f64 (/.f64 d l))
accuracy	7.803783934262207	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

120.0ms	126×	0	invalid
66.0ms	130×	0	valid

Compiler

Compiled 756 to 75 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 46.0ms (47.7% of total)

ival-div: 23.0ms (23.9% of total)

ival-pow: 11.0ms (11.4% of total)

ival-sqrt: 8.0ms (8.3% of total)

ival-sub: 6.0ms (6.2% of total)

ival-pow2: 2.0ms (2.1% of total)

exact: 1.0ms (1% of total)

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

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

series59.0ms (0.3%)

Memory

-15.4MiB live, 101.4MiB allocated

Counts

24 → 960

Calls

Call 1

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

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

Calls

240 calls:

Time	Variable		Point	Expression
5.0ms	D	@	inf	(/ (/ (* M D) (* d 2)) l)
3.0ms	d	@	-inf	(* (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h)))
1.0ms	l	@	-inf	(* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
1.0ms	M	@	0	(/ (/ (* M D) (* d 2)) l)
1.0ms	D	@	0	(/ (/ (* M D) (* d 2)) l)

simplify323.0ms (1.6%)

Memory

18.3MiB live, 289.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 160×	`lower-*.f64`
8 160×	`lower-*.f32`
4 852×	`lower-fma.f64`
4 852×	`lower-fma.f32`
3 032×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	13840
1	680	13562
2	2380	13484
3	5302	13432
0	8762	13225

Stop Event

1×	iter limit
1×	node limit

Counts

960 → 960

Calls

Call 1

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

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

rewrite463.0ms (2.3%)

Memory

11.0MiB live, 445.0MiB allocated

Rules

7 378×	`lower-*.f32`
7 324×	`lower-*.f64`
3 948×	`lower-/.f32`
3 922×	`lower-/.f64`
2 564×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	340
0	127	320
1	422	302
2	3029	288
0	9437	287

Stop Event

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

Counts

24 → 889

Calls

Call 1

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

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

eval483.0ms (2.4%)

Memory: -4.1MiB live, 380.8MiB allocated
Compiler: Compiled 69 673 to 4 270 computations (93.9% saved)

prune351.0ms (1.8%)

Memory

2.2MiB live, 607.6MiB allocated

Pruning

68 alts after pruning (67 fresh and 1 done)

	Pruned	Kept	Total
New	2 033	51	2 084
Fresh	24	16	40
Picked	4	1	5
Done	0	0	0
Total	2 061	68	2 129

Accuracy

96.0%

Counts

2 129 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.6%	(/.f64 (.f64 (/.f64 d (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 D (/.f64 (.f64 (.f64 h (.f64 M M)) (.f64 D #s(literal 1/8 binary64))) (.f64 l (*.f64 d d))))))) (sqrt.f64 l))
	24.1%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l)))) (sqrt.f64 (neg.f64 h)))
	35.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 h (.f64 M D))) (.f64 d (.f64 l (*.f64 d #s(literal 4 binary64)))))) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l))
	33.0%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 h (.f64 M D))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))))
	30.5%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	29.3%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 D (/.f64 (.f64 (.f64 h (.f64 M M)) (.f64 D #s(literal 1/8 binary64))) (.f64 l (*.f64 d d)))))))
	37.1%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	37.2%	(.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (.f64 (.f64 h (.f64 M M)) D)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	57.4%	(.f64 (.f64 (fma.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) l)) (neg.f64 (/.f64 (.f64 M D) (.f64 #s(literal 4 binary64) (.f64 d d)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	65.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	41.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	31.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))))
	30.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	26.8%	(.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)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
	41.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	69.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D (.f64 (/.f64 d h) #s(literal 2 binary64)))))))
	57.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M M) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 #s(literal 1/2 binary64) D)) #s(literal 2 binary64)))) (/.f64 h l))))
	31.8%	(.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 #s(literal 1/4 binary64) (.f64 d d)) D) M) (/.f64 (.f64 (*.f64 h #s(literal 1/2 binary64)) M) l)) D)))
	30.2%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
	69.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (/.f64 (.f64 M D) l)) (.f64 d #s(literal 4 binary64))) d)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	57.1%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (/.f64 (.f64 M D) l)) (.f64 #s(literal 4 binary64) (*.f64 d d)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	37.7%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) (pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64)))
	32.5%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	66.5%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 d l)) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	62.8%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D))) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	49.3%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) M)) (.f64 D (.f64 (/.f64 #s(literal 1 binary64) (.f64 l (*.f64 d d))) #s(literal 1/4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	59.2%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 M D) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	59.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 h (/.f64 (.f64 M D) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	71.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	53.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
	16.9%	(.f64 (.f64 #s(approx (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 l (*.f64 d d)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	29.2%	(.f64 (sqrt.f64 (neg.f64 d)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (.f64 (.f64 h (.f64 M M)) D)) (.f64 d (*.f64 d l))))))))
	28.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	9.4%	(.f64 #s(approx ( (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (/.f64 (.f64 D D) l)) (.f64 #s(literal -1/8 binary64) (*.f64 M M)))) (sqrt.f64 (/.f64 d l)))
▶	10.2%	(.f64 #s(approx ( (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) l)))) (sqrt.f64 (/.f64 d l)))
	25.1%	(.f64 #s(approx ( (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (.f64 h (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d d) h))))) (sqrt.f64 (/.f64 d (.f64 h (.f64 h h))))))) (sqrt.f64 (/.f64 d l)))
	41.0%	(.f64 #s(approx ( (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	19.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
	20.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
	41.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	18.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
▶	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	19.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))))
	19.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
▶	26.9%	#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 (sqrt.f64 (*.f64 h l))))
	31.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d)))))
	33.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M M) d) (.f64 (*.f64 D D) #s(literal 1/8 binary64)))))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (/.f64 (.f64 D (*.f64 M M)) d)) #s(literal 1/8 binary64))))
	21.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	2.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (neg.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) #s(literal 1/8 binary64))))))
▶	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
	2.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
	26.9%	#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	26.9%	#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	26.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	26.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	26.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
	26.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
✓	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	23.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))

Compiler

Compiled 3 986 to 2 532 computations (36.5% saved)

simplify210.0ms (1.1%)

Memory

15.9MiB live, 294.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (*.f64 h h)))))
cost-diff	0	(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
cost-diff	0	(.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d)))))
cost-diff	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 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))))
cost-diff	0	(sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) l)))
cost-diff	0	#s(approx (* (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) l))))
cost-diff	0	(.f64 #s(approx ( (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) l)))) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(*.f64 (/.f64 d h) (neg.f64 d))
cost-diff	0	(sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d)))
cost-diff	0	(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
cost-diff	0	(*.f64 h l)
cost-diff	0	(sqrt.f64 (*.f64 h l))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 h l)))
cost-diff	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 d (sqrt.f64 (*.f64 h l))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
cost-diff	320	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64)))
cost-diff	384	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l)
cost-diff	1088	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))

Rules

7 784×	`lower-*.f32`
7 730×	`lower-*.f64`
4 216×	`lower-/.f32`
4 188×	`lower-/.f64`
1 558×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	742
0	150	710
1	303	680
2	957	662
3	6647	662
0	8363	657

Stop Event

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

Calls

Call 1

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

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

localize341.0ms (1.7%)

Memory

-18.2MiB live, 446.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.1478819554816075	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d)))
accuracy	7.483547949962879	(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))
accuracy	8.655199670263912	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (*.f64 h h)))))
accuracy	9.973593702476874	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (*.f64 l l)))))
accuracy	6.231981720439439	(.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) l)))
accuracy	6.696047882813685	(sqrt.f64 (/.f64 d l))
accuracy	10.481241524369143	(sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))
accuracy	15.229784971471855	#s(approx (* (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) l))))
accuracy	0.0703125	(*.f64 (/.f64 d h) (neg.f64 d))
accuracy	0.45305604754819234	(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
accuracy	10.9345496600404	(sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d)))
accuracy	15.82122056257093	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
accuracy	0	(*.f64 h l)
accuracy	0.09375	(/.f64 d (sqrt.f64 (*.f64 h l)))
accuracy	7.543550836201753	(sqrt.f64 (*.f64 h l))
accuracy	29.876164229016954	#s(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 h l))))
accuracy	3.2125550455610328	(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
accuracy	3.218258649665251	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64)))
accuracy	4.232845231061671	(sqrt.f64 (/.f64 d h))
accuracy	6.696047882813685	(sqrt.f64 (/.f64 d l))

Samples

87.0ms	126×	0	valid
81.0ms	130×	0	invalid

Compiler

Compiled 666 to 87 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-div: 51.0ms (37.9% of total)

ival-mult: 50.0ms (37.2% of total)

ival-sqrt: 12.0ms (8.9% of total)

ival-pow: 11.0ms (8.2% of total)

ival-sub: 3.0ms (2.2% of total)

ival-pow2: 3.0ms (2.2% of total)

ival-neg: 2.0ms (1.5% of total)

ival-add: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series101.0ms (0.5%)

Memory

-14.9MiB live, 221.0MiB allocated

Counts

26 → 1 092

Calls

Call 1

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

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

Calls

273 calls:

Time	Variable		Point	Expression
16.0ms	h	@	0	(* (sqrt (/ h (* d (* d d)))) (* (* D (* D (* M M))) (/ 1/8 l)))
4.0ms	d	@	inf	(* (* D D) (/ (* -1/8 (* M M)) d))
3.0ms	l	@	0	(* h (+ (* d (sqrt (/ 1 (* l (* h (* h h)))))) (* (sqrt (/ 1 (* l (* h (* l l))))) (* (* D D) (/ (* -1/8 (* M M)) d)))))
3.0ms	D	@	inf	(* (sqrt (/ h (* d (* d d)))) (* (* D (* D (* M M))) (/ 1/8 l)))
2.0ms	h	@	inf	(/ d (sqrt (* h l)))

simplify304.0ms (1.5%)

Memory

-6.2MiB live, 435.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 852×	`lower-*.f64`
7 852×	`lower-*.f32`
4 370×	`lower-fma.f64`
4 370×	`lower-fma.f32`
2 832×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	18075
1	861	17470
2	2973	17330
3	6440	17258
0	8215	16937

Stop Event

1×	iter limit
1×	node limit

Counts

1 092 → 1 092

Calls

Call 1

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

rewrite266.0ms (1.3%)

Memory

13.9MiB live, 536.7MiB allocated

Rules

4 964×	`lower-*.f32`
4 914×	`lower-*.f64`
3 026×	`lower-pow.f64`
3 026×	`lower-pow.f32`
2 858×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	501
0	145	469
1	489	419
2	3815	398
0	8112	394

Stop Event

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

Counts

26 → 664

Calls

Call 1

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

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

eval318.0ms (1.6%)

Memory: 7.6MiB live, 469.7MiB allocated
Compiler: Compiled 54 348 to 2 725 computations (95% saved)

prune527.0ms (2.6%)

Memory

10.1MiB live, 487.7MiB allocated

Pruning

68 alts after pruning (65 fresh and 3 done)

	Pruned	Kept	Total
New	1 783	22	1 805
Fresh	19	43	62
Picked	3	2	5
Done	0	1	1
Total	1 805	68	1 873

Accuracy

96.0%

Counts

1 873 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.6%	(/.f64 (.f64 (/.f64 d (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 D (/.f64 (.f64 (.f64 h (.f64 M M)) (.f64 D #s(literal 1/8 binary64))) (.f64 l (*.f64 d d))))))) (sqrt.f64 l))
	24.1%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l)))) (sqrt.f64 (neg.f64 h)))
	35.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 h (.f64 M D))) (.f64 d (.f64 l (*.f64 d #s(literal 4 binary64)))))) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l))
	33.0%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 h (.f64 M D))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))))
	30.5%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	29.3%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 D (/.f64 (.f64 (.f64 h (.f64 M M)) (.f64 D #s(literal 1/8 binary64))) (.f64 l (*.f64 d d)))))))
	37.1%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	37.2%	(.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (.f64 (.f64 h (.f64 M M)) D)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	65.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	31.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))))
	30.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	57.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M M) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 #s(literal 1/2 binary64) D)) #s(literal 2 binary64)))) (/.f64 h l))))
	31.8%	(.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 #s(literal 1/4 binary64) (.f64 d d)) D) M) (/.f64 (.f64 (*.f64 h #s(literal 1/2 binary64)) M) l)) D)))
	30.2%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
	32.5%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 M D)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	62.8%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h (.f64 d l)) (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D))) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	59.2%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 M D) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	41.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	36.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	41.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	67.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 M D) (.f64 (.f64 d #s(literal 2 binary64)) l)) (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) h)) #s(literal 1 binary64)))
	66.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d))) h #s(literal 1 binary64)))
	69.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D (.f64 (/.f64 d h) #s(literal 2 binary64)))))))
	71.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) h))))
	71.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) #s(approx (/ (/ ( 1/2 (* M D)) (* d 2)) (/ 1 h)) (.f64 #s(literal 1/4 binary64) (.f64 D (*.f64 M (/.f64 h d))))))))
	53.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
	16.9%	(.f64 (.f64 #s(approx (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 l (*.f64 d d)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	28.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	9.5%	(.f64 #s(approx ( (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
	12.5%	(.f64 #s(approx ( (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) D) (/.f64 (.f64 M (.f64 M D)) (*.f64 l #s(literal 8 binary64))))) (sqrt.f64 (/.f64 d l)))
	10.6%	(.f64 #s(approx ( (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	24.2%	(.f64 #s(approx ( (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (.f64 h (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 d (.f64 d d))))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) l)) (sqrt.f64 (/.f64 d (.f64 h (.f64 h h))))))) (sqrt.f64 (/.f64 d l)))
	41.0%	(.f64 #s(approx ( (- 1 (/ (* (* h (* 1/2 (* M D))) (* M D)) (* l (* d (* d 4))))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	19.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
	20.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
	19.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
	41.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	18.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
✓	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	19.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))))
	19.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	26.9%	#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 (sqrt.f64 (*.f64 h l))))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	31.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d)))))
	33.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (+.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 D D) (.f64 M (.f64 M #s(literal -1/8 binary64))))) (.f64 (sqrt.f64 (.f64 h (.f64 l (.f64 l l)))) d)) (/.f64 d (sqrt.f64 (.f64 h (.f64 l (*.f64 h h)))))) h))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 M M) d) (.f64 (*.f64 D D) #s(literal 1/8 binary64)))))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (/.f64 (.f64 D (*.f64 M M)) d)) #s(literal 1/8 binary64))))
	21.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	20.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h #s(approx (+ ( d (sqrt (/ 1 (* l (* h (* h h)))))) (* (sqrt (/ 1 (* l (* h (* l l))))) (* (* D D) (/ (* -1/8 (* M M)) d)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 l h)))))) (.f64 l l)))))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h #s(approx (+ ( d (sqrt (/ 1 (* l (* h (* h h)))))) (* (sqrt (/ 1 (* l (* h (* l l))))) (* (* D D) (/ (* -1/8 (* M M)) d)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M))) d))))
	11.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h #s(approx (+ ( d (sqrt (/ 1 (* l (* h (* h h)))))) (* (sqrt (/ 1 (* l (* h (* l l))))) (* (* D D) (/ (* -1/8 (* M M)) d)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (neg.f64 d)))))
	19.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h #s(approx (+ ( d (sqrt (/ 1 (* l (* h (* h h)))))) (* (sqrt (/ 1 (* l (* h (* l l))))) (* (* D D) (/ (* -1/8 (* M M)) d)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l))))))))
	2.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
	26.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	26.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	26.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
✓	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	23.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	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)))) (exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 h l)) d)) #s(literal -1 binary64))))

Compiler

Compiled 6 185 to 1 877 computations (69.7% saved)

regimes508.0ms (2.5%)

Memory

12.1MiB live, 459.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

7 calls:

103.0ms	l
96.0ms	M
66.0ms	D
65.0ms	d
57.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
80.3%	2	`d`
81.9%	3	`h`
82.4%	3	`l`
71.9%	1	`M`
71.9%	1	`D`
78.9%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
71.9%	1	`(*.f64 M D)`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes91.0ms (0.5%)

Memory

-29.5MiB live, 54.2MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

71.0ms

Results

Accuracy	Segments	Branch
82.4%	3	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes165.0ms (0.8%)

Memory

9.7MiB live, 118.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

56.0ms	h
54.0ms	l
47.0ms	d

Results

Accuracy	Segments	Branch
80.2%	3	`d`
80.6%	3	`h`
80.8%	3	`l`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes71.0ms (0.4%)

Memory

-23.0MiB live, 33.2MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
80.7%	3	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes132.0ms (0.7%)

Memory

13.4MiB live, 203.8MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

46.0ms	l
26.0ms	h
26.0ms	d
25.0ms	(.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
76.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
76.1%	3	`d`
76.2%	3	`h`
75.7%	2	`l`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes51.0ms (0.3%)

Memory

16.3MiB live, 87.6MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

25.0ms

22.0ms

(*.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
74.7%	2	`l`
75.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes171.0ms (0.9%)

Memory

9.7MiB live, 336.3MiB allocated

Counts

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

Outputs

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

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

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

Calls

7 calls:

34.0ms	d
23.0ms	(.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))))
22.0ms	h
22.0ms	D
22.0ms	l

Results

Accuracy	Segments	Branch
67.6%	1	`M`
70.3%	2	`D`
70.7%	2	`(*.f64 M D)`
72.5%	3	`d`
72.4%	3	`h`
71.4%	2	`l`
75.0%	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 78 to 53 computations (32.1% saved)

regimes26.0ms (0.1%)

Memory

-10.9MiB live, 38.0MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

21.0ms

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

Results

Accuracy	Segments	Branch
73.9%	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 40 to 22 computations (45% saved)

regimes150.0ms (0.7%)

Memory

-3.0MiB live, 311.3MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

22.0ms	M
22.0ms	(.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))))
21.0ms	d
21.0ms	l
21.0ms	h

Results

Accuracy	Segments	Branch
63.6%	3	`M`
63.6%	2	`D`
67.4%	3	`(*.f64 M D)`
68.7%	3	`h`
68.4%	3	`d`
70.3%	4	`l`
69.4%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes19.0ms (0.1%)

Memory

17.3MiB live, 55.1MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

15.0ms

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

Results

Accuracy	Segments	Branch
69.2%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes126.0ms (0.6%)

Memory

-21.2MiB live, 177.8MiB allocated

Counts

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

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

Calls

5 calls:

49.0ms	d
25.0ms	(*.f64 M D)
17.0ms	h
16.0ms	l
15.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
61.0%	3	`(*.f64 M D)`
66.6%	4	`d`
67.2%	4	`h`
66.9%	4	`l`
68.7%	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 66 to 43 computations (34.8% saved)

regimes34.0ms (0.2%)

Memory

-12.8MiB live, 70.4MiB allocated

Counts

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

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

Calls

2 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
63.9%	4	`h`
67.2%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes13.0ms (0.1%)

Memory

31.5MiB live, 31.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

(*.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
65.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes50.0ms (0.2%)

Memory

-1.7MiB live, 112.1MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.0%	4	`d`
55.5%	4	`D`
57.3%	4	`l`
64.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes61.0ms (0.3%)

Memory

8.5MiB live, 129.6MiB allocated

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

Outputs

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

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

Calls

6 calls:

11.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
10.0ms	d
10.0ms	h
9.0ms	M
9.0ms	l

Results

Accuracy	Segments	Branch
52.4%	4	`l`
54.6%	4	`d`
49.8%	2	`(*.f64 M D)`
52.1%	5	`h`
51.4%	3	`M`
55.4%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-14.8MiB live, 23.7MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

9.0ms

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

Results

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

Compiler

Compiled 40 to 22 computations (45% saved)

regimes56.0ms (0.3%)

Memory

2.9MiB live, 122.1MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

10.0ms	l
9.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
9.0ms	M
8.0ms	D
8.0ms	d

Results

Accuracy	Segments	Branch
50.2%	4	`l`
47.8%	2	`(*.f64 M D)`
46.6%	2	`M`
48.5%	3	`d`
45.8%	2	`D`
48.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-18.6MiB live, 20.1MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
48.4%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes55.0ms (0.3%)

Memory

28.7MiB live, 70.1MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

26.0ms	l
6.0ms	M
6.0ms	d
5.0ms	h
5.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
43.6%	2	`M`
46.3%	2	`d`
46.3%	2	`l`
46.3%	2	`h`
43.7%	2	`(*.f64 M D)`
43.7%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes46.0ms (0.2%)

Memory

7.1MiB live, 46.3MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

30.0ms	d
5.0ms	l
5.0ms	h
5.0ms	D

Results

Accuracy	Segments	Branch
32.8%	3	`D`
44.8%	2	`l`
44.0%	2	`h`
44.0%	2	`d`

Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes19.0ms (0.1%)

Memory

-31.8MiB live, 45.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

4.0ms	M
4.0ms	l
3.0ms	h
3.0ms	d
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
30.5%	2	`M`
32.1%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
31.9%	3	`(*.f64 M D)`
41.7%	2	`d`
41.3%	2	`h`
42.1%	2	`l`

Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes8.0ms (0%)

Memory

22.7MiB live, 22.7MiB allocated

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

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

Calls

3 calls:

2.0ms	h
2.0ms	d
2.0ms	l

Results

Accuracy	Segments	Branch
34.6%	2	`h`
35.8%	2	`d`
35.2%	2	`l`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes19.0ms (0.1%)

Memory

-18.6MiB live, 29.5MiB allocated

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 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 d (sqrt.f64 (*.f64 h l))))

Calls

7 calls:

10.0ms	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	M
1.0ms	h
1.0ms	l

Results

Accuracy	Segments	Branch
26.9%	1	`(*.f64 M D)`
26.9%	1	`M`
26.9%	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))))`
26.9%	1	`D`
26.9%	1	`h`
26.9%	1	`l`
26.9%	1	`d`

Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch133.0ms (0.7%)

Memory

20.4MiB live, 285.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
56.0ms	2.595414588776385e+183	3.0582344327455135e+188
63.0ms	-2.3973640626921862e-300	1.640331739218159e-306

Samples

55.0ms	304×	0	valid
45.0ms	280×	0	invalid

Compiler

Compiled 1 607 to 1 002 computations (37.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-pow: 26.0ms (34.3% of total)

ival-div: 20.0ms (26.4% of total)

ival-mult: 17.0ms (22.4% of total)

ival-pow2: 8.0ms (10.6% of total)

ival-sub: 3.0ms (4% of total)

exact: 1.0ms (1.3% of total)

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

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

bsearch88.0ms (0.4%)

Memory

13.7MiB live, 96.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
80.0ms	3.0582344327455135e+188	1.8015137768728685e+196
1.0ms	-2.3973640626921862e-300	1.640331739218159e-306

Samples

48.0ms	144×	0	valid
22.0ms	160×	0	invalid

Compiler

Compiled 1 569 to 983 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 26.0ms (44% of total)

ival-mult: 19.0ms (32.2% of total)

ival-pow: 9.0ms (15.2% of total)

ival-pow2: 3.0ms (5.1% of total)

ival-sub: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch58.0ms (0.3%)

Memory

-7.2MiB live, 108.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	1.6778282595809605e+103	6.309638281772372e+107
3.0ms	-2.3973640626921862e-300	1.640331739218159e-306

Samples

24.0ms	128×	0	valid
17.0ms	117×	0	invalid

Compiler

Compiled 1 549 to 972 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 11.0ms (34.3% of total)

ival-div: 8.0ms (25% of total)

ival-pow: 8.0ms (25% of total)

ival-pow2: 4.0ms (12.5% of total)

ival-sub: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.6778282595809605e+103	6.309638281772372e+107
1.0ms	-2.3973640626921862e-300	1.640331739218159e-306

Compiler

Compiled 1 519 to 962 computations (36.7% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch7.0ms (0%)

Memory

-33.6MiB live, 2.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.852046951813866e-179	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.852046951813866e-179	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.852046951813866e-179	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.852046951813866e-179	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.852046951813866e-179	0.0
0.0ms	-inf	-7.797839077577688e+296

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.852046951813866e-179	0.0
0.0ms	-inf	-7.797839077577688e+296

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-6.4608253778750845e+75	-1.6636104267729676e+70

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-6.4608253778750845e+75	-1.6636104267729676e+70

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.852046951813866e-179	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.852046951813866e-179	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.852046951813866e-179	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.852046951813866e-179	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch36.0ms (0.2%)

Memory

18.3MiB live, 52.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	7.987680636061539e-256	2.6642721159181063e-255

Samples

12.0ms	80×	0	valid
9.0ms	77×	0	invalid

Compiler

Compiled 193 to 135 computations (30.1% saved)

Precisions

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

ival-div: 5.0ms (32.2% of total)

ival-mult: 5.0ms (32.2% of total)

ival-pow: 3.0ms (19.3% of total)

ival-sub: 1.0ms (6.4% of total)

ival-pow2: 1.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch50.0ms (0.3%)

Memory

-39.3MiB live, 57.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	2.3395036122271845e-292	2.8043972755805357e-291

Samples

26.0ms	96×	0	valid
16.0ms	66×	0	invalid

Compiler

Compiled 223 to 162 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 11.0ms (45.2% of total)

ival-div: 5.0ms (20.5% of total)

ival-pow: 5.0ms (20.5% of total)

ival-pow2: 2.0ms (8.2% of total)

ival-sub: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.2%)

Memory

4.5MiB live, 40.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	2.3395036122271845e-292	2.8043972755805357e-291

Samples

12.0ms	80×	0	valid
8.0ms	62×	0	invalid

Compiler

Compiled 217 to 156 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 4.0ms (26.1% of total)

ival-mult: 4.0ms (26.1% of total)

ival-pow: 4.0ms (26.1% of total)

ival-sub: 1.0ms (6.5% of total)

ival-pow2: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch53.0ms (0.3%)

Memory

2.0MiB live, 124.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	-4.869857735480644e-151	-4.024579718872237e-153

Samples

23.0ms	112×	0	valid
15.0ms	128×	0	invalid

Compiler

Compiled 239 to 163 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 9.0ms (35% of total)

ival-div: 8.0ms (31.1% of total)

ival-pow: 5.0ms (19.4% of total)

ival-pow2: 2.0ms (7.8% of total)

ival-sub: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify63.0ms (0.3%)

Memory

28.7MiB live, 103.3MiB allocated

Algorithm

1×	egg-herbie

Rules

302×	`neg-mul-1_binary64`
288×	`*-commutative_binary64`
224×	`unsub-neg_binary64`
204×	`distribute-rgt-neg-in_binary64`
200×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	275	3495
1	407	3495
2	540	3495
3	673	3492
4	780	3492
5	1013	3492
6	1343	3492
7	1370	3492
8	1378	3492
9	1379	3492

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 l #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 l #s(literal 92000000000000001506238396165442847350288814137238358251783568437215881665352467143407022545521802096400976807212176352092946925368152014254182148165261472166641503938357559894308003250176 binary64)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 h (.f64 M D))) (.f64 d (.f64 l (*.f64 d #s(literal 4 binary64)))))) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l))))
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Outputs
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(if (<=.f64 d #s(literal -4363644053699907/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

soundness2.8s (13.9%)

Memory

-24.9MiB live, 2 064.2MiB allocated

Rules

11 250×	`lower-*.f64`
11 250×	`lower-*.f32`
8 160×	`lower-*.f64`
8 160×	`lower-*.f32`
7 852×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	1972
1	74	1940
2	256	1940
3	1182	1940
4	3310	1940
5	3542	1940
6	3631	1940
7	3657	1940
8	3674	1940
9	3680	1940
10	4767	1940
11	4837	1940
12	4846	1940
13	4846	1940
14	5742	1940
15	7259	1940
16	7277	1940
17	7277	1940
18	7277	1940
19	7277	1940
0	10737	1940
0	76	340
0	127	320
1	422	302
2	3029	288
0	9437	287
0	91	501
0	145	469
1	489	419
2	3815	398
0	8112	394
0	135	10434
1	368	10294
2	1292	10268
3	2891	10233
4	5585	10233
0	8211	10158
0	239	13840
1	680	13562
2	2380	13484
3	5302	13432
0	8762	13225
0	19	42
0	32	40
1	94	40
2	515	40
3	5058	40
0	8121	40
0	296	18075
1	861	17470
2	2973	17330
3	6440	17258
0	8215	16937
0	71	248
0	127	222
1	388	212
2	2484	208
0	8333	207

Stop Event

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

Compiler

Compiled 9 277 to 3 154 computations (66% saved)

preprocess213.0ms (1.1%)

Memory

17.3MiB live, 288.3MiB allocated

Remove

(sort M D)

(abs M)

(abs D)

Compiler

Compiled 6 176 to 1 210 computations (80.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated