Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze542.0ms (3.2%)

Memory

-29.1MiB live, 544.4MiB 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)

sample6.2s (36.6%)

Memory

6.2MiB live, 6 484.5MiB allocated

Samples

2.8s	13 201×	0	invalid
2.1s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-div: 1.4s (37.4% of total)

ival-mult: 1.1s (30.4% of total)

ival-pow: 736.0ms (19.5% of total)

ival-pow2: 269.0ms (7.1% of total)

ival-sub: 159.0ms (4.2% of total)

exact: 24.0ms (0.6% of total)

ival-true: 18.0ms (0.5% of total)

ival-assert: 10.0ms (0.3% of total)

Bogosity

explain338.0ms (2%)

Memory

-7.6MiB live, 475.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
65	-	2	(6.4357883750786255e-52 1.6106884614427037e+186 1.935155639731593e+271 -1.0993076591370499e+137 -1.7581002008889463e-35)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
63	-	1	(2.3974751651249417e-91 4.573837975748601e+232 4.857455557588773e+166 -6.62569809522055e+306 6.231938354804734e+67)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
43	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
24	-	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))))`
21	-	2	(2.2711239067037055e-109 1.738111583468944e-50 2.634636351547611e+197 4.8892684187518665e-213 5.061234715151337e-98)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	33	0
↳	`(/.f64 d l)`	overflow	33
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	32	0
↳	`(/.f64 d h)`	overflow	32
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	30	0
↳	`(/.f64 d l)`	underflow	30
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	30	0
↳	`(/.f64 d h)`	underflow	30
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	14	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	12	0
↳	`(*.f64 M D)`	overflow	35
`*.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	30
↳	`(/.f64 d l)`	underflow	30
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	22
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	80
↳	`(.f64 (/.f64 #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	80
↳	`(/.f64 h l)`	overflow	32
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	35
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	43
`*.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**	7	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	7	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	80
↳	`(.f64 (/.f64 #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	80
↳	`(*.f64 M D)`	overflow	35
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	43
↳	`(/.f64 h l)`	underflow	28
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	28

Confusion

	Predicted +	Predicted -
+	81	9
-	40	126

Precision

0.6694214876033058

Recall

0.9

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	9
-	40	0	126

Precision?

0.6694214876033058

Recall?

0.9

Freqs

test

number	freq
0	135
1	75
2	35
3	9
4	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

104.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-pow: 25.0ms (34.2% of total)

ival-div: 21.0ms (28.7% of total)

ival-mult: 18.0ms (24.6% of total)

ival-pow2: 5.0ms (6.8% of total)

ival-sub: 2.0ms (2.7% of total)

ival-true: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

preprocess183.0ms (1.1%)

Memory

39.6MiB live, 190.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	2092	548
3	4738	548
0	22	29
0	38	27
1	67	27
2	182	27
3	1068	27
4	3452	27
5	6729	27
0	8398	26

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(.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))))

Status

Accuracy

Program

▶

66.4%

(*.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 35 to 22 computations (37.1% saved)

simplify146.0ms (0.9%)

Memory

7.3MiB live, 126.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	182	126
3	1068	126
4	3452	126
5	6729	126
0	8398	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 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (/.f64 d h) (/.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 l)) (sqrt.f64 (/.f64 d h)))
(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 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 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 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

localize80.0ms (0.5%)

Memory

0.1MiB live, 110.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.8424406187648845	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.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))))
accuracy	10.135682100526667	(.f64 (.f64 (/.f64 #s(literal 1 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	14.869015735907304	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.169826900299647	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

52.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

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

ival-div: 13.0ms (36.3% of total)

ival-pow: 10.0ms (27.9% of total)

ival-mult: 8.0ms (22.4% of total)

ival-pow2: 3.0ms (8.4% of total)

ival-sub: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series123.0ms (0.7%)

Memory

-66.2MiB live, 92.0MiB allocated

Counts

6 → 32

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
48.0ms	l	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
36.0ms	d	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
4.0ms	D	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
3.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify200.0ms (1.2%)

Memory

32.6MiB live, 151.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	635
1	413	593
2	1514	584
3	4190	568
4	7941	568
0	8163	552

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

rewrite180.0ms (1.1%)

Memory

0.6MiB live, 190.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
0	38	68
1	124	67
2	836	67
0	8769	65

Stop Event

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

Counts

6 → 454

Calls

Call 1

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

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

eval56.0ms (0.3%)

Memory: 12.6MiB live, 95.3MiB allocated
Compiler: Compiled 20 228 to 1 521 computations (92.5% saved)

prune40.0ms (0.2%)

Memory

-28.1MiB live, 83.3MiB allocated

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	446	30	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	447	30	477

Accuracy

92.9%

Counts

477 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.4%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	65.8%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	65.5%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	37.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	39.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
▶	33.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	37.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	51.8%	(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	51.8%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	65.8%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	68.3%	(.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)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	53.4%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
	62.0%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) d)))
	57.9%	(.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 l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
▶	70.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))))))
	61.3%	(.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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	48.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 M M) #s(literal 1 binary64))))
	21.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
	38.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	66.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.4%	(.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))))
	39.0%	(.f64 (.f64 (.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))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.2%	(.f64 (sqrt.f64 d) (.f64 (pow.f64 l #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))))
▶	35.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	15.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	18.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	15.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	23.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 326 to 1 624 computations (30.2% saved)

simplify173.0ms (1%)

Memory

-2.8MiB live, 240.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	1	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	2	(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d)))
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
cost-diff	0	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
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 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 l h))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
cost-diff	1	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	2	(/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))
cost-diff	2	(.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	696
0	156	683
1	270	659
2	685	659
3	3259	659
4	6600	659
0	8072	653

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

localize240.0ms (1.4%)

Memory

21.0MiB live, 330.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.668495472452731	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	5.64132161644952	(.f64 (.f64 (/.f64 #s(literal 1 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	8.122271639972334	(sqrt.f64 (/.f64 l d))
accuracy	8.753578241542138	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	2.4115354753478204	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
accuracy	2.6921103343226767	(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D))
accuracy	4.589729106839426	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	8.753578241542138	(sqrt.f64 (/.f64 d h))
accuracy	6.649964677849843	(sqrt.f64 (/.f64 h l))
accuracy	6.849204166360442	(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
accuracy	6.9096134308655435	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
accuracy	7.668354731708204	(fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy	0.11328125	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.12547979685471744	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	9.6311037082096	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	30.20564411705292	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
accuracy	3.1629012242396066	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l)
accuracy	3.668495472452731	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.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 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))))))
accuracy	8.514688342086382	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.753578241542138	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

87.0ms	126×	0	invalid
76.0ms	130×	0	valid

Compiler

Compiled 710 to 79 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 52.0ms (41.3% of total)

ival-div: 28.0ms (22.3% of total)

ival-pow: 23.0ms (18.3% of total)

ival-sqrt: 11.0ms (8.7% of total)

ival-add: 4.0ms (3.2% of total)

ival-pow2: 3.0ms (2.4% of total)

ival-sub: 2.0ms (1.6% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series201.0ms (1.2%)

Memory

-9.9MiB live, 268.8MiB allocated

Counts

28 → 99

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
36.0ms	M	@	-inf	((/ 1 2) (* 1/2 (* D 1/2)) (/ (* (* (/ D d) M) 1/2) (pow h -1)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* (/ D d) M) 1/2) (pow h -1))))) (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (sqrt (/ l d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
20.0ms	M	@	inf	((/ 1 2) (* 1/2 (* D 1/2)) (/ (* (* (/ D d) M) 1/2) (pow h -1)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* (/ D d) M) 1/2) (pow h -1))))) (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (sqrt (/ l d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
19.0ms	d	@	0	((/ 1 2) (* 1/2 (* D 1/2)) (/ (* (* (/ D d) M) 1/2) (pow h -1)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* (/ D d) M) 1/2) (pow h -1))))) (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (sqrt (/ l d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
18.0ms	h	@	-inf	((/ 1 2) (* 1/2 (* D 1/2)) (/ (* (* (/ D d) M) 1/2) (pow h -1)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* (/ D d) M) 1/2) (pow h -1))))) (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (sqrt (/ l d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
12.0ms	l	@	-inf	((/ 1 2) (* 1/2 (* D 1/2)) (/ (* (* (/ D d) M) 1/2) (pow h -1)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* (/ D d) M) 1/2) (pow h -1))))) (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d h)) (* (/ d M) (/ 2 D)) (sqrt (/ l d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify160.0ms (0.9%)

Memory

35.7MiB live, 192.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	2135
1	1165	1987
2	4312	1959
3	6969	1927
0	8191	1877

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 99

Calls

Call 1

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

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

rewrite205.0ms (1.2%)

Memory

-10.6MiB live, 259.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	439
0	156	416
1	463	387
2	3286	379
0	10785	379

Stop Event

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

Counts

28 → 941

Calls

Call 1

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

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

eval137.0ms (0.8%)

Memory: 5.9MiB live, 217.0MiB allocated
Compiler: Compiled 40 123 to 3 797 computations (90.5% saved)

prune139.0ms (0.8%)

Memory

-16.9MiB live, 138.8MiB allocated

Pruning

48 alts after pruning (47 fresh and 1 done)

	Pruned	Kept	Total
New	829	37	866
Fresh	15	10	25
Picked	4	1	5
Done	0	0	0
Total	848	48	896

Accuracy

95.9%

Counts

896 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(/.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (.f64 M (/.f64 D d)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d h)))) (sqrt.f64 (neg.f64 l)))
	25.7%	(/.f64 (.f64 (.f64 (fma.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	36.7%	(/.f64 (.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) l) (.f64 (.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
▶	36.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) l) (.f64 (*.f64 M (/.f64 D d)) #s(literal 1/2 binary64))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	35.7%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (/.f64 M d) l) (.f64 #s(literal 1/4 binary64) D)) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	34.7%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 M (/.f64 D d)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 M (/.f64 D d)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	34.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	37.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	37.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	26.8%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (fma.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 M M) l) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	12.8%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 D D) l) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	20.4%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	51.8%	(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	53.5%	(.f64 (fma.f64 (.f64 (pow.f64 (.f64 (.f64 M (/.f64 D d)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	51.8%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	29.2%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d l) d)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	28.1%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	28.8%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	53.2%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 h d) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	65.8%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	57.9%	(.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 l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	66.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (.f64 (.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d))))
	61.3%	(.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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	40.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))))))
	40.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))))))
▶	70.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l (.f64 (pow.f64 h #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 M (/.f64 D d))))))))
	70.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 M d) l) (.f64 #s(literal 1/4 binary64) D)) (.f64 (.f64 #s(literal 1/2 binary64) h) (.f64 M (/.f64 D d))))))
	70.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M (/.f64 D d)) #s(literal 1/2 binary64)) (.f64 h (.f64 (/.f64 (/.f64 M d) l) (.f64 #s(literal 1/4 binary64) D))))))
	50.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 D D) l) d) #s(literal 1 binary64))))
	32.9%	(.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 d h) l)) (sqrt.f64 d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (pow.f64 (.f64 (*.f64 M (/.f64 D d)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	23.4%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	57.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	44.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
▶	18.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	51.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 M (.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 D d) D))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))))) h))
	35.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	14.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 l h))))
	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 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l)) d))
	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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal -1 binary64))))) d))
	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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	15.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	15.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
✓	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))

Compiler

Compiled 3 922 to 2 740 computations (30.1% saved)

simplify131.0ms (0.8%)

Memory

30.1MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	761
0	162	748
1	289	726
2	861	723
3	5867	723
0	8056	719

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

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

localize315.0ms (1.8%)

Memory

-18.3MiB live, 517.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.5228228984414804	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	3.668495472452731	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	5.64132161644952	(.f64 (.f64 (/.f64 #s(literal 1 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	12.013274319746575	(sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l)))
accuracy	9.6311037082096	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	10.740836550344016	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d)))
accuracy	11.60663661740776	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	31.76173953812077	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
accuracy	2.5369341471206095	(/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d))
accuracy	2.657725136478343	(*.f64 M (/.f64 D d))
accuracy	3.1629012242396066	(/.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) l)
accuracy	8.753578241542138	(sqrt.f64 (/.f64 d h))
accuracy	0.0	(*.f64 l h)
accuracy	0.09375	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	9.11964894012175	(sqrt.f64 (*.f64 l h))
accuracy	30.20564411705292	#s(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))))
accuracy	2.6583503487747526	(.f64 (pow.f64 h #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 M (/.f64 D d))))
accuracy	3.668495472452731	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l (.f64 (pow.f64 h #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 M (/.f64 D d))))))))
accuracy	8.122271639972334	(sqrt.f64 (/.f64 l d))
accuracy	8.753578241542138	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

143.0ms	126×	0	invalid
103.0ms	130×	0	valid

Compiler

Compiled 763 to 84 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 58.0ms (37.9% of total)

ival-sqrt: 33.0ms (21.6% of total)

ival-div: 30.0ms (19.6% of total)

ival-pow: 20.0ms (13.1% of total)

ival-neg: 3.0ms (2% of total)

ival-pow2: 3.0ms (2% of total)

ival-add: 2.0ms (1.3% of total)

ival-sub: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series207.0ms (1.2%)

Memory

-12.4MiB live, 298.8MiB allocated

Counts

30 → 93

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
61.0ms	h	@	inf	((* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (/ 1 2) (* (* (/ M d) (* 1/4 D)) 1) (* (pow h -1) (/ 2 (* M (/ D d)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (/ (* M (* 1/4 D)) (neg d)) (/ (* (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) d) (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (* (* D D) -1/8) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (pow (/ d h) (/ 1 2)) (sqrt (/ l d)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* (/ M d) (* 1/4 D)) 1) (* l (* (pow h -1) (/ 2 (* M (/ D d)))))))) (sqrt (/ d h)) (/ (/ (* M (* 1/4 D)) (neg d)) l) (* M (/ D d)) (sqrt (/ h (pow l 3))) (sqrt (/ 1 (* l h))) (sqrt (* (neg d) (/ d l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
22.0ms	d	@	-inf	((* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (/ 1 2) (* (* (/ M d) (* 1/4 D)) 1) (* (pow h -1) (/ 2 (* M (/ D d)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (/ (* M (* 1/4 D)) (neg d)) (/ (* (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) d) (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (* (* D D) -1/8) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (pow (/ d h) (/ 1 2)) (sqrt (/ l d)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* (/ M d) (* 1/4 D)) 1) (* l (* (pow h -1) (/ 2 (* M (/ D d)))))))) (sqrt (/ d h)) (/ (/ (* M (* 1/4 D)) (neg d)) l) (* M (/ D d)) (sqrt (/ h (pow l 3))) (sqrt (/ 1 (* l h))) (sqrt (* (neg d) (/ d l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
18.0ms	l	@	0	((* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (/ 1 2) (* (* (/ M d) (* 1/4 D)) 1) (* (pow h -1) (/ 2 (* M (/ D d)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (/ (* M (* 1/4 D)) (neg d)) (/ (* (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) d) (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (* (* D D) -1/8) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (pow (/ d h) (/ 1 2)) (sqrt (/ l d)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* (/ M d) (* 1/4 D)) 1) (* l (* (pow h -1) (/ 2 (* M (/ D d)))))))) (sqrt (/ d h)) (/ (/ (* M (* 1/4 D)) (neg d)) l) (* M (/ D d)) (sqrt (/ h (pow l 3))) (sqrt (/ 1 (* l h))) (sqrt (* (neg d) (/ d l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
15.0ms	d	@	0	((* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (/ 1 2) (* (* (/ M d) (* 1/4 D)) 1) (* (pow h -1) (/ 2 (* M (/ D d)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (/ (* M (* 1/4 D)) (neg d)) (/ (* (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) d) (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (* (* D D) -1/8) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (pow (/ d h) (/ 1 2)) (sqrt (/ l d)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* (/ M d) (* 1/4 D)) 1) (* l (* (pow h -1) (/ 2 (* M (/ D d)))))))) (sqrt (/ d h)) (/ (/ (* M (* 1/4 D)) (neg d)) l) (* M (/ D d)) (sqrt (/ h (pow l 3))) (sqrt (/ 1 (* l h))) (sqrt (* (neg d) (/ d l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
14.0ms	l	@	-inf	((* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (/ 1 2) (* (* (/ M d) (* 1/4 D)) 1) (* (pow h -1) (/ 2 (* M (/ D d)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (/ (* M (* 1/4 D)) (neg d)) (/ (* (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) d) (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (* (* D D) -1/8) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h))) (pow (/ d h) (/ 1 2)) (sqrt (/ l d)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* (/ M d) (* 1/4 D)) 1) (* l (* (pow h -1) (/ 2 (* M (/ D d)))))))) (sqrt (/ d h)) (/ (/ (* M (* 1/4 D)) (neg d)) l) (* M (/ D d)) (sqrt (/ h (pow l 3))) (sqrt (/ 1 (* l h))) (sqrt (* (neg d) (/ d l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))

simplify175.0ms (1%)

Memory

17.1MiB live, 152.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	372	1980
1	1127	1873
2	4179	1847
3	7781	1840
0	8088	1793

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 93

Calls

Call 1

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

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

rewrite303.0ms (1.8%)

Memory

-29.5MiB live, 283.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	461
0	162	443
1	494	415
2	3375	415
0	11353	410

Stop Event

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

Counts

30 → 938

Calls

Call 1

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

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

eval136.0ms (0.8%)

Memory: 40.4MiB live, 231.6MiB allocated
Compiler: Compiled 42 633 to 4 258 computations (90% saved)

prune119.0ms (0.7%)

Memory

-19.5MiB live, 230.6MiB allocated

Pruning

48 alts after pruning (46 fresh and 2 done)

	Pruned	Kept	Total
New	900	29	929
Fresh	25	17	42
Picked	4	1	5
Done	0	1	1
Total	929	48	977

Accuracy

97.0%

Counts

977 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.8%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (.f64 (/.f64 M l) (.f64 #s(literal -1/4 binary64) (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d h)))) (sqrt.f64 (neg.f64 l)))
	68.0%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) M) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	25.7%	(/.f64 (.f64 (.f64 (fma.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	36.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) l) (.f64 (*.f64 D (/.f64 M d)) #s(literal 1/2 binary64))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
▶	32.9%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) M) (.f64 (neg.f64 l) d)) (.f64 (.f64 M (/.f64 D d)) #s(literal 1/2 binary64))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	36.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(approx (/ ( M (* 1/4 D)) (neg d)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 D M) d))) l) (.f64 (.f64 M (/.f64 D d)) #s(literal 1/2 binary64))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	34.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	37.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	37.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	26.8%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (fma.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 M M) l) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	12.8%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 D D) l) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	40.3%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) M) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D d) M)) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
	20.4%	(/.f64 (.f64 #s(approx ( (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
▶	51.8%	(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	70.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (.f64 (/.f64 M l) (.f64 #s(literal -1/4 binary64) (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))))
▶	58.2%	(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (.f64 (/.f64 M l) (.f64 #s(literal -1/4 binary64) (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	55.0%	(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) M) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	29.2%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 (/.f64 D d) M)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 l h))))
	28.8%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	18.6%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (/.f64 (.f64 (.f64 D D) h) d)) (*.f64 M M) #s(literal 1 binary64))))
	11.9%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 D D) l) d))))
	16.3%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	71.0%	(.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (.f64 (/.f64 M l) (*.f64 #s(literal -1/4 binary64) (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.3%	(.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) M) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D d) M)) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	40.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l (.f64 (pow.f64 h #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 M (/.f64 D d))))))))
	66.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l (.f64 (/.f64 (/.f64 #s(literal 2 binary64) h) (.f64 D M)) d)))))
	65.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l #s(approx (* (pow h -1) (/ 2 (* M (/ D d)))) (.f64 (/.f64 d (.f64 (*.f64 M h) D)) #s(literal 2 binary64)))))))
	39.1%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l (.f64 (pow.f64 h #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 M (/.f64 D d))))))))
	41.6%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l (.f64 (pow.f64 h #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 M (/.f64 D d))))))))
	23.4%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	57.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	20.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 D D))) (/.f64 (.f64 d d) (sqrt.f64 (*.f64 l h)))) d))
	44.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	21.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	51.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 M (.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 D d) D))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))))) h))
	35.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	14.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	27.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 D D)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) h)) d))
	14.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (.f64 (.f64 (neg.f64 d) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
	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 (*.f64 (sqrt.f64 l) (sqrt.f64 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 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) 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 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l)) d))
▶	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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
✓	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))

Compiler

Compiled 4 264 to 2 924 computations (31.4% saved)

simplify353.0ms (2.1%)

Memory

-9.1MiB live, 140.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	634
0	127	629
1	253	620
2	730	600
3	4922	600
0	8116	599

Stop Event

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

Calls

Call 1

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

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

localize276.0ms (1.6%)

Memory

3.5MiB live, 403.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.6921103343226767	(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D))
accuracy	3.664589222452731	(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
accuracy	4.589729106839426	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	11.423323376533855	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy	2.4115354753478204	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) M) (.f64 (neg.f64 l) d)) (.f64 (.f64 M (/.f64 D d)) #s(literal 1/2 binary64))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
accuracy	2.657725136478343	(*.f64 M (/.f64 D d))
accuracy	5.483060593637567	(/.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) M) (*.f64 (neg.f64 l) d))
accuracy	8.753578241542138	(sqrt.f64 (/.f64 d h))
accuracy	2.657725136478343	(*.f64 (/.f64 D d) M)
accuracy	3.668495472452731	(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (.f64 (/.f64 M l) (.f64 #s(literal -1/4 binary64) (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
accuracy	4.214691091766695	(.f64 (/.f64 M l) (.f64 #s(literal -1/4 binary64) (/.f64 D d)))
accuracy	11.423323376533855	(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
accuracy	0.11328125	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
accuracy	9.11964894012175	(sqrt.f64 (*.f64 l h))
accuracy	30.20564411705292	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
accuracy	2.657725136478343	(*.f64 (/.f64 D d) M)
accuracy	4.214691091766695	(.f64 (/.f64 M l) (.f64 #s(literal -1/4 binary64) (/.f64 D d)))
accuracy	8.514688342086382	(sqrt.f64 (/.f64 d l))
accuracy	8.753578241542138	(sqrt.f64 (/.f64 d h))

Samples

125.0ms	130×	0	valid
93.0ms	126×	0	invalid

Compiler

Compiled 645 to 77 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult: 91.0ms (56.8% of total)

ival-div: 29.0ms (18.1% of total)

ival-sqrt: 15.0ms (9.4% of total)

ival-pow: 14.0ms (8.7% of total)

ival-add: 4.0ms (2.5% of total)

ival-pow2: 3.0ms (1.9% of total)

ival-neg: 2.0ms (1.2% of total)

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series126.0ms (0.7%)

Memory

-3.3MiB live, 197.1MiB allocated

Counts

26 → 70

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
18.0ms	M	@	-inf	((+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (* (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (/ d h))) (* (* 1/2 (* (/ D d) M)) h) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (* (/ d l) (/ d h)))) (* 1/2 (* (/ D d) M)) (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) (/ (* (* D 1/4) M) (* (neg l) d)) (/ (* (* (+ (* (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (/ (sqrt (* (/ (/ d l) h) d)) (/ 1 (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1))) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (/ d l) h) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ M l) (* -1/4 (/ D d))) (* (/ D d) M) (sqrt (* (/ d l) (/ d h))) (* M (/ D d)) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (/ d M) (/ 2 D)))
18.0ms	l	@	-inf	((+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (* (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (/ d h))) (* (* 1/2 (* (/ D d) M)) h) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (* (/ d l) (/ d h)))) (* 1/2 (* (/ D d) M)) (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) (/ (* (* D 1/4) M) (* (neg l) d)) (/ (* (* (+ (* (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (/ (sqrt (* (/ (/ d l) h) d)) (/ 1 (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1))) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (/ d l) h) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ M l) (* -1/4 (/ D d))) (* (/ D d) M) (sqrt (* (/ d l) (/ d h))) (* M (/ D d)) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (/ d M) (/ 2 D)))
8.0ms	d	@	-inf	((+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (* (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (/ d h))) (* (* 1/2 (* (/ D d) M)) h) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (* (/ d l) (/ d h)))) (* 1/2 (* (/ D d) M)) (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) (/ (* (* D 1/4) M) (* (neg l) d)) (/ (* (* (+ (* (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (/ (sqrt (* (/ (/ d l) h) d)) (/ 1 (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1))) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (/ d l) h) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ M l) (* -1/4 (/ D d))) (* (/ D d) M) (sqrt (* (/ d l) (/ d h))) (* M (/ D d)) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (/ d M) (/ 2 D)))
7.0ms	d	@	0	((+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (* (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (/ d h))) (* (* 1/2 (* (/ D d) M)) h) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (* (/ d l) (/ d h)))) (* 1/2 (* (/ D d) M)) (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) (/ (* (* D 1/4) M) (* (neg l) d)) (/ (* (* (+ (* (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (/ (sqrt (* (/ (/ d l) h) d)) (/ 1 (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1))) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (/ d l) h) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ M l) (* -1/4 (/ D d))) (* (/ D d) M) (sqrt (* (/ d l) (/ d h))) (* M (/ D d)) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (/ d M) (/ 2 D)))
7.0ms	d	@	inf	((+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (* (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (/ d h))) (* (* 1/2 (* (/ D d) M)) h) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (* (/ d l) (/ d h)))) (* 1/2 (* (/ D d) M)) (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) (/ (* (* D 1/4) M) (* (neg l) d)) (/ (* (* (+ (* (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt (neg d))) (/ (sqrt (* (/ (/ d l) h) d)) (/ 1 (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1))) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (/ (/ d l) h) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ M l) (* -1/4 (/ D d))) (* (/ D d) M) (sqrt (* (/ d l) (/ d h))) (* M (/ D d)) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (/ d M) (/ 2 D)))

simplify144.0ms (0.8%)

Memory

6.2MiB live, 241.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	1437
1	937	1384
2	3473	1371
3	6520	1360
0	8324	1327

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 70

Calls

Call 1

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

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

rewrite209.0ms (1.2%)

Memory

-4.1MiB live, 283.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	373
0	127	369
1	424	348
2	2907	338
0	8348	338

Stop Event

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

Counts

26 → 1 294

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (*.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (*.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64)))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (*.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (*.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (*.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64)))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64)))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (*.f64 h (/.f64 M l))) #s(literal -1/4 binary64)) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (*.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal 1 binary64))
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(.f64 d (pow.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 d (/.f64 #s(literal 2 binary64) (.f64 M D)))
(pow.f64 (/.f64 M (*.f64 (/.f64 #s(literal 2 binary64) D) d)) #s(literal -1 binary64))
(pow.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 d M))) (neg.f64 (neg.f64 D)))
(/.f64 (neg.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal 2 binary64) D))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (neg.f64 d))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) #s(literal 1 binary64))) (neg.f64 (/.f64 M d)))
(/.f64 (neg.f64 (*.f64 (/.f64 d M) #s(literal -2 binary64))) (neg.f64 (neg.f64 D)))
(/.f64 (neg.f64 (.f64 (/.f64 d M) #s(literal 1 binary64))) (neg.f64 (.f64 D #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) d))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 d M) #s(literal 2 binary64)))) (neg.f64 (neg.f64 D)))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (neg.f64 d))) (neg.f64 (.f64 (neg.f64 D) (neg.f64 M))))
(/.f64 (neg.f64 (.f64 (neg.f64 d) #s(literal -2 binary64))) (neg.f64 (.f64 (neg.f64 M) (neg.f64 D))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (neg.f64 (.f64 (*.f64 D #s(literal 1/2 binary64)) (neg.f64 M))))
(/.f64 (neg.f64 (/.f64 d M)) (neg.f64 (*.f64 D #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) D)) (neg.f64 (/.f64 M d)))
(/.f64 (neg.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 M) (*.f64 D #s(literal 1/2 binary64)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) d))) (exp.f64 (log.f64 M)))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 d M) #s(literal 2 binary64)))) (exp.f64 (log.f64 D)))
(/.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) d))) (exp.f64 (log.f64 (.f64 M D))))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 d M)) (neg.f64 D))
(/.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal 2 binary64) D)) (neg.f64 M))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (neg.f64 d)) (neg.f64 M))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) #s(literal 1 binary64)) (/.f64 M d))
(/.f64 (*.f64 (/.f64 d M) #s(literal -2 binary64)) (neg.f64 D))
(/.f64 (.f64 (/.f64 d M) #s(literal 1 binary64)) (.f64 D #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) d)) (neg.f64 (.f64 (neg.f64 M) D)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) d)) (neg.f64 M))
(/.f64 (neg.f64 (*.f64 (/.f64 d M) #s(literal 2 binary64))) (neg.f64 D))
(/.f64 (.f64 #s(literal -2 binary64) (neg.f64 d)) (.f64 (neg.f64 D) (neg.f64 M)))
(/.f64 (.f64 (neg.f64 d) #s(literal -2 binary64)) (.f64 (neg.f64 M) (neg.f64 D)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 d)) (.f64 (*.f64 D #s(literal 1/2 binary64)) (neg.f64 M)))
(/.f64 (.f64 (neg.f64 d) #s(literal 1 binary64)) (.f64 (neg.f64 M) (*.f64 D #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) d) M)
(/.f64 (*.f64 (/.f64 d M) #s(literal 2 binary64)) D)
(/.f64 (.f64 #s(literal -2 binary64) d) (.f64 (neg.f64 M) D))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 M (*.f64 (/.f64 #s(literal 2 binary64) D) d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (/.f64 M d) D)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 M (/.f64 D d))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 D) (/.f64 M d)))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 M d) (neg.f64 D)))
(/.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 M d))
(/.f64 (/.f64 d M) (*.f64 D #s(literal 1/2 binary64)))
(/.f64 (neg.f64 d) (neg.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M)))
(/.f64 (neg.f64 d) (neg.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 D) (/.f64 M d))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (/.f64 M d) (neg.f64 D))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 M d) D))
(/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d)))
(/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 (/.f64 #s(literal 2 binary64) D) d)))
(/.f64 #s(literal 1 binary64) (/.f64 D (*.f64 (/.f64 d M) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)))
(/.f64 d (.f64 (.f64 D #s(literal 1/2 binary64)) M))
(/.f64 d (.f64 (.f64 M D) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d)))))

eval206.0ms (1.2%)

Memory: 22.8MiB live, 328.9MiB allocated
Compiler: Compiled 50 451 to 4 879 computations (90.3% saved)

prune176.0ms (1%)

Memory

-3.4MiB live, 248.2MiB allocated

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	1 330	22	1 352
Fresh	17	24	41
Picked	4	1	5
Done	0	2	2
Total	1 351	49	1 400

Accuracy

97.4%

Counts

1 400 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.7%	(/.f64 (.f64 (.f64 (fma.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	36.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) l) (.f64 (*.f64 D (/.f64 M d)) #s(literal 1/2 binary64))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	38.6%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) M) (.f64 (neg.f64 l) d)) (.f64 (.f64 M (/.f64 D d)) #s(literal 1/2 binary64))) h #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	34.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D l)) M) d) (.f64 (*.f64 M (/.f64 D d)) #s(literal 1/2 binary64))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	34.4%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	37.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	37.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	26.8%	(/.f64 (.f64 (.f64 (fma.f64 #s(approx (* (/ (* (* D 1/4) M) (* (neg l) d)) (* (* M (/ D d)) 1/2)) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 l d)) (/.f64 (*.f64 D D) d))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	40.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (*.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	32.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D l)) (.f64 (/.f64 M d) (.f64 (.f64 h (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) M)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 l)))
	57.5%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 M D)) h) (.f64 (/.f64 M l) (.f64 #s(literal -1/4 binary64) (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	41.0%	(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	53.2%	(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) M) (.f64 l d)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	55.6%	(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (.f64 M (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) l)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	55.0%	(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) M) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	38.5%	(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D l)) (.f64 (/.f64 M d) (.f64 (.f64 h (.f64 (/.f64 D d) #s(literal 1/2 binary64))) M)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	18.6%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (/.f64 (.f64 (.f64 D D) h) d)) (*.f64 M M) #s(literal 1 binary64))))
	11.9%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 D D) l) d))))
	71.5%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (.f64 (.f64 h (*.f64 #s(literal -1/4 binary64) (/.f64 M l))) (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	66.0%	(.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) M) (.f64 l d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	40.5%	(.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (.f64 (/.f64 M l) (*.f64 #s(literal -1/4 binary64) (/.f64 D d))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
	42.5%	(.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (.f64 (/.f64 M l) (*.f64 #s(literal -1/4 binary64) (/.f64 D d))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l)))
	66.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l (.f64 (/.f64 (/.f64 #s(literal 2 binary64) h) (.f64 D M)) d)))))
	65.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l #s(approx (* (pow h -1) (/ 2 (* M (/ D d)))) (.f64 (/.f64 d (.f64 (*.f64 M h) D)) #s(literal 2 binary64)))))))
	39.1%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l (.f64 (pow.f64 h #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 M (/.f64 D d))))))))
	20.7%	(.f64 #s(approx (+ ( (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 M M) l) d))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	31.2%	(.f64 #s(approx (+ ( (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	38.9%	(.f64 #s(approx ( (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	23.4%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	57.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	44.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	21.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	51.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 M (.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 D d) D))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	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 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
	18.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))))
	35.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	14.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	27.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 D D)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) h)) d))
	14.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (.f64 (.f64 (neg.f64 d) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
	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 (*.f64 (sqrt.f64 l) (sqrt.f64 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 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) 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 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
✓	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	30.4%	#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 (/.f64 d l) h) d)))

Compiler

Compiled 6 961 to 2 157 computations (69% saved)

regimes333.0ms (2%)

Memory

-18.8MiB live, 260.6MiB allocated

Counts

119 → 5

Calls

Call 1

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

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

Calls

7 calls:

64.0ms	d
53.0ms	l
49.0ms	(*.f64 M D)
48.0ms	M
47.0ms	D

Results

Accuracy	Segments	Branch
83.0%	2	`d`
88.5%	5	`h`
83.0%	2	`l`
71.5%	1	`M`
71.5%	1	`D`
78.3%	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))))`
71.5%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes32.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

97 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
85.0%	3	`h`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes29.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

86 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
84.8%	3	`h`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes65.0ms (0.4%)

Memory

-17.9MiB live, 20.9MiB allocated

Counts

47 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

34.0ms	h
14.0ms	l
14.0ms	d

Results

Accuracy	Segments	Branch
76.7%	2	`d`
76.7%	2	`l`
78.5%	3	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes51.0ms (0.3%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

13.0ms	d
12.0ms	l
12.0ms	h
11.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
74.0%	2	`d`
75.9%	3	`l`
77.1%	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))))`
77.0%	3	`h`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes104.0ms (0.6%)

Memory

-10.4MiB live, 33.6MiB allocated

Counts

34 → 4

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	D
11.0ms	M
10.0ms	d
10.0ms	l
10.0ms	h

Results

Accuracy	Segments	Branch
66.0%	1	`M`
67.6%	2	`D`
67.7%	2	`(*.f64 M D)`
72.1%	3	`d`
71.7%	3	`l`
74.3%	4	`h`
72.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes57.0ms (0.3%)

Memory

-21.0MiB live, 18.3MiB 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 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 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)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
(.f64 #s(approx (+ ( (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
(.f64 #s(approx ( (+ (* (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (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 #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 #s(approx (+ (* (* (* D D) -1/8) (* (sqrt (/ h (pow l 3))) (* M M))) (* (sqrt (/ 1 (* l h))) (* d d))) (.f64 (.f64 (neg.f64 d) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(/.f64 (.f64 #s(approx ( (+ (* (* (/ (/ (* M (* 1/4 D)) (neg d)) l) (* (* M (/ D d)) 1/2)) h) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D l)) (.f64 (/.f64 M d) (.f64 (.f64 h (.f64 (/.f64 D d) #s(literal 1/2 binary64))) M)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 h (/.f64 M l))) (/.f64 D d)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 #s(approx (+ ( (* (* 1/2 (* (/ D d) M)) h) (* (/ M l) (* -1/4 (/ D d)))) 1) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 M M) l) d))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) D) M) (.f64 l d)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) M) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (.f64 M (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) l)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (.f64 (/.f64 M l) (.f64 #s(literal -1/4 binary64) (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 M D)) h) (.f64 (/.f64 M l) (.f64 #s(literal -1/4 binary64) (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (/.f64 (.f64 (.f64 D D) h) d)) (*.f64 M M) #s(literal 1 binary64))))

Outputs

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

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

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

Calls

4 calls:

26.0ms	(.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
9.0ms	l
9.0ms	h

Results

Accuracy	Segments	Branch
70.3%	3	`l`
71.5%	4	`d`
71.2%	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))))`
68.4%	2	`h`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes35.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

27 → 4

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	l
8.0ms	d
8.0ms	h
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
71.2%	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))))`
67.6%	2	`h`
70.8%	4	`d`
69.5%	3	`l`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes94.0ms (0.6%)

Memory

-11.8MiB live, 27.8MiB allocated

Counts

25 → 4

Calls

Call 1

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

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

Calls

7 calls:

46.0ms	d
8.0ms	D
8.0ms	M
8.0ms	l
8.0ms	h

Results

Accuracy	Segments	Branch
55.3%	2	`M`
64.5%	2	`h`
58.1%	2	`D`
66.5%	3	`d`
58.6%	2	`(*.f64 M D)`
68.4%	4	`l`
68.4%	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 43 to 53 computations (-23.3% saved)

regimes32.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

24 → 5

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	d
8.0ms	l
7.0ms	h
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
60.2%	2	`h`
60.2%	2	`d`
62.1%	3	`l`
65.3%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes15.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 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
62.1%	3	`l`
60.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes71.0ms (0.4%)

Memory

-26.7MiB live, 13.1MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms	l
7.0ms	d
7.0ms	h

Results

Accuracy	Segments	Branch
58.2%	2	`h`
58.2%	2	`d`
60.6%	3	`l`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes48.0ms (0.3%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

21 → 4

Calls

Call 1

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

Calls

7 calls:

7.0ms	D
7.0ms	M
7.0ms	d
7.0ms	h
6.0ms	l

Results

Accuracy	Segments	Branch
42.8%	2	`M`
51.3%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
43.0%	2	`D`
45.9%	2	`h`
48.4%	3	`d`
43.9%	2	`(*.f64 M D)`
48.9%	3	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes23.0ms (0.1%)

Memory

-36.7MiB live, 6.0MiB allocated

Counts

13 → 5

Calls

Call 1

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

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

Calls

2 calls:

18.0ms

4.0ms

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

Results

Accuracy	Segments	Branch
45.9%	2	`l`
51.8%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes9.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

11 → 5

Calls

Call 1

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

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

Calls

2 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
45.2%	2	`d`
51.1%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes11.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
45.9%	2	`l`
44.3%	2	`h`
46.9%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes17.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB 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 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Outputs

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

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

Calls

7 calls:

2.0ms	h
2.0ms	l
2.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms	d
2.0ms	D

Results

Accuracy	Segments	Branch
30.5%	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))))`
29.3%	2	`M`
30.2%	3	`D`
26.7%	1	`(*.f64 M D)`
40.0%	2	`h`
40.9%	2	`d`
41.6%	2	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes24.0ms (0.1%)

Memory

-19.3MiB live, 20.5MiB allocated

Accuracy

Total -0.2b remaining (-0.4%)

Threshold costs -0.2b (-0.4%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

12.0ms	d
2.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms	h
2.0ms	l
2.0ms	D

Results

Accuracy	Segments	Branch
26.7%	1	`(*.f64 M D)`
26.7%	1	`D`
26.7%	1	`M`
26.7%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
26.7%	1	`h`
26.7%	1	`d`
26.7%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch382.0ms (2.2%)

Memory

-5.3MiB live, 228.1MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
91.0ms	3.3395293202241892e+140	5.245814230767246e+157
104.0ms	-6.168095652667222e-307	1.6532107621789163e-296
71.0ms	-1.2972757692400847e-140	-6.822889939837835e-143
87.0ms	-5.415368825180103e+158	-1.7862856523636004e+154

Samples

136.0ms	570×	0	invalid
127.0ms	560×	0	valid

Compiler

Compiled 2 814 to 2 183 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-div: 95.0ms (51.4% of total)

ival-mult: 36.0ms (19.5% of total)

ival-pow: 35.0ms (18.9% of total)

ival-pow2: 11.0ms (6% of total)

ival-sub: 5.0ms (2.7% of total)

ival-true: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

ival-assert: 1.0ms (0.5% of total)

bsearch6.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.3395293202241892e+140	5.245814230767246e+157
2.0ms	-6.168095652667222e-307	1.6532107621789163e-296

Compiler

Compiled 1 658 to 1 270 computations (23.4% saved)

bsearch5.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.3395293202241892e+140	5.245814230767246e+157
2.0ms	-6.168095652667222e-307	1.6532107621789163e-296

Compiler

Compiled 1 218 to 950 computations (22% saved)

bsearch60.0ms (0.4%)

Memory

7.2MiB live, 50.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.3395293202241892e+140	5.245814230767246e+157
52.0ms	-6.168095652667222e-307	1.6532107621789163e-296

Samples

25.0ms	112×	0	valid
18.0ms	124×	0	invalid

Compiler

Compiled 1 188 to 920 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 8.0ms (29.9% of total)

ival-mult: 7.0ms (26.1% of total)

ival-pow: 7.0ms (26.1% of total)

ival-pow2: 2.0ms (7.5% of total)

ival-sub: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.135530785497275e+174	1.5480342949517539e+177

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch168.0ms (1%)

Memory

8.6MiB live, 165.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
41.0ms	1.6106884614427037e+186	3.9939118243167407e+186
26.0ms	-6.168095652667222e-307	1.6532107621789163e-296
90.0ms	-1.8662610597008457e-131	-9.624398331702463e-135

Samples

73.0ms	254×	0	invalid
40.0ms	256×	0	valid

Compiler

Compiled 1 355 to 1 053 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 53.0ms (55.7% of total)

ival-div: 18.0ms (18.9% of total)

ival-pow: 16.0ms (16.8% of total)

ival-pow2: 5.0ms (5.3% of total)

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

exact: 1.0ms (1.1% of total)

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

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

bsearch167.0ms (1%)

Memory

-2.1MiB live, 236.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
65.0ms	2.89779532864422e+92	6.285062249108691e+104
88.0ms	-2.282920303655557e-307	2.8476736960770625e-302

Samples

82.0ms	304×	0	valid
49.0ms	306×	0	invalid

Compiler

Compiled 1 242 to 907 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 48.0ms (48.4% of total)

ival-div: 21.0ms (21.2% of total)

ival-pow: 19.0ms (19.1% of total)

ival-pow2: 6.0ms (6% of total)

ival-sub: 3.0ms (3% of total)

ival-true: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.135530785497275e+174	1.5480342949517539e+177
0.0ms	-2.1996736690609986e-190	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.135530785497275e+174	1.5480342949517539e+177
0.0ms	-5.083222865430211e-45	-1.1029716696517062e-59

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.135530785497275e+174	1.5480342949517539e+177
0.0ms	0.0	5.3125592357038854e-236
0.0ms	-1.6359767266028694e+278	-1.0950058684557204e+252

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch6.0ms (0%)

Memory

-27.5MiB live, 10.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.89779532864422e+92	6.285062249108691e+104
4.0ms	-2.282920303655557e-307	2.8476736960770625e-302

Compiler

Compiled 1 341 to 997 computations (25.7% saved)

bsearch71.0ms (0.4%)

Memory

-1.9MiB live, 157.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	6.285062249108691e+104	5.396556688130181e+111
2.0ms	-2.282920303655557e-307	2.8476736960770625e-302

Samples

27.0ms	144×	0	valid
24.0ms	163×	0	invalid

Compiler

Compiled 1 271 to 966 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 14.0ms (36.1% of total)

ival-mult: 10.0ms (25.8% of total)

ival-pow: 9.0ms (23.2% of total)

ival-pow2: 3.0ms (7.7% of total)

ival-sub: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.135530785497275e+174	1.5480342949517539e+177
0.0ms	-2.1996736690609986e-190	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.746089104542104e+147	4.725499671845437e+153
0.0ms	3.393571880236133e-145	4.685978663644545e-134
0.0ms	-2.1996736690609986e-190	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.746089104542104e+147	4.725499671845437e+153
0.0ms	1.2967309446206043e-98	1.9750073582711292e-87
0.0ms	-2.1996736690609986e-190	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch70.0ms (0.4%)

Memory

24.4MiB live, 144.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
63.0ms	9.463611479033051e-272	5.584798397928135e-257

Samples

27.0ms	153×	0	invalid
25.0ms	160×	0	valid

Compiler

Compiled 918 to 610 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 13.0ms (31.6% of total)

ival-mult: 13.0ms (31.6% of total)

ival-pow: 10.0ms (24.3% of total)

ival-pow2: 3.0ms (7.3% of total)

ival-sub: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch62.0ms (0.4%)

Memory

-16.1MiB live, 102.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	9.463611479033051e-272	5.584798397928135e-257

Samples

24.0ms	139×	0	invalid
21.0ms	112×	0	valid

Compiler

Compiled 908 to 600 computations (33.9% saved)

Precisions

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

ival-div: 12.0ms (37.1% of total)

ival-mult: 8.0ms (24.7% of total)

ival-pow: 8.0ms (24.7% of total)

ival-pow2: 3.0ms (9.3% 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)

simplify98.0ms (0.6%)

Memory

-6.5MiB live, 116.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	302	3436
1	432	3432
2	921	3432
3	4270	3430
4	7557	3430

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 h #s(literal -20999999999999999436189322827560136700085634943499688028406078940651492973786426024400341679766305212802330007134184559762627882364284981668219282278842368 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) M) (.f64 (neg.f64 l) d)) (.f64 (.f64 M (/.f64 D d)) #s(literal 1/2 binary64))) h #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (if (<=.f64 h #s(literal -4290498537581631/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) l) (.f64 (.f64 D (/.f64 M d)) #s(literal 1/2 binary64))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (if (<=.f64 h #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l (.f64 (pow.f64 h #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 M (/.f64 D d)))))))) (if (<=.f64 h #s(literal 640000000000000021018599993091152690551688042470151485127880592805598084415224317148160842001745544117727683061966358770335034005895354777600 binary64)) (.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 l (.f64 (pow.f64 h #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 M (/.f64 D d)))))))) (.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 D d) M)) h) (.f64 (/.f64 M l) (*.f64 #s(literal -1/4 binary64) (/.f64 D d))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l)))))))
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Outputs
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soundness2.4s (14.1%)

Memory

43.1MiB live, 1 851.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	373
0	127	369
1	424	348
2	2907	338
0	8348	338
0	94	461
0	162	443
1	494	415
2	3375	415
0	11353	410
0	91	439
0	156	416
1	463	387
2	3286	379
0	10785	379
0	22	72
0	38	68
1	124	67
2	836	67
0	8769	65
0	385	2135
1	1165	1987
2	4312	1959
3	6969	1927
0	8191	1877
0	315	1437
1	937	1384
2	3473	1371
3	6520	1360
0	8324	1327
0	147	635
1	413	593
2	1514	584
3	4190	568
4	7941	568
0	8163	552
0	372	1980
1	1127	1873
2	4179	1847
3	7781	1840
0	8088	1793

Stop Event

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

Compiler

Compiled 5 856 to 1 652 computations (71.8% saved)

preprocess221.0ms (1.3%)

Memory: -12.9MiB live, 226.9MiB allocated
Compiler: Compiled 8 556 to 1 240 computations (85.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze542.0ms (3.2%)

sample6.2s (36.6%)

explain338.0ms (2%)

preprocess183.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify146.0ms (0.9%)

localize80.0ms (0.5%)

series123.0ms (0.7%)

simplify200.0ms (1.2%)

rewrite180.0ms (1.1%)

eval56.0ms (0.3%)

prune40.0ms (0.2%)

simplify173.0ms (1%)

localize240.0ms (1.4%)

series201.0ms (1.2%)

simplify160.0ms (0.9%)

rewrite205.0ms (1.2%)

eval137.0ms (0.8%)

prune139.0ms (0.8%)

simplify131.0ms (0.8%)

localize315.0ms (1.8%)

series207.0ms (1.2%)

simplify175.0ms (1%)

rewrite303.0ms (1.8%)

eval136.0ms (0.8%)

prune119.0ms (0.7%)

simplify353.0ms (2.1%)

localize276.0ms (1.6%)

series126.0ms (0.7%)

simplify144.0ms (0.8%)

rewrite209.0ms (1.2%)

eval206.0ms (1.2%)

prune176.0ms (1%)

regimes333.0ms (2%)

regimes32.0ms (0.2%)

regimes29.0ms (0.2%)

regimes65.0ms (0.4%)

regimes51.0ms (0.3%)

regimes104.0ms (0.6%)

regimes57.0ms (0.3%)

regimes35.0ms (0.2%)

regimes94.0ms (0.6%)

regimes32.0ms (0.2%)

regimes15.0ms (0.1%)

regimes71.0ms (0.4%)

regimes48.0ms (0.3%)

regimes23.0ms (0.1%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes17.0ms (0.1%)

regimes24.0ms (0.1%)

bsearch382.0ms (2.2%)

bsearch6.0ms (0%)

bsearch5.0ms (0%)

bsearch60.0ms (0.4%)

bsearch1.0ms (0%)

bsearch168.0ms (1%)

bsearch167.0ms (1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch6.0ms (0%)

bsearch71.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch70.0ms (0.4%)

bsearch62.0ms (0.4%)

simplify98.0ms (0.6%)

soundness2.4s (14.1%)

preprocess221.0ms (1.3%)

end0.0ms (0%)

Profiling