Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze466.0ms (2.2%)

Memory

-0.8MiB live, 568.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.2s (24.3%)

Memory

30.6MiB live, 6 350.6MiB allocated

Samples

2.6s	12 990×	0	invalid
1.5s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-mult: 949.0ms (32% of total)

ival-div: 876.0ms (29.5% of total)

ival-pow: 625.0ms (21% of total)

ival-pow2: 294.0ms (9.9% of total)

ival-sub: 180.0ms (6.1% of total)

exact: 21.0ms (0.7% of total)

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

ival-assert: 8.0ms (0.3% of total)

Bogosity

explain487.0ms (2.3%)

Memory

-31.7MiB live, 602.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
75	-	2	(4.6778975640593677e-182 1.7505009125245082e+142 1.0706288651510844e+108 3.1494630956252257e+56 -2.1206183505961695e-11)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
69	-	3	(1.4424505276762296e-87 2.359146670591126e+162 5.576972158958771e+229 -3.2718816017079575e+172 5.289274283780529e-306)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
38	-	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))`
25	-	1	(2.8626233238055726e-88 2.3011230795917493e+261 5.745416734592155e+185 -6.8518394613468726e+109 1.7824238145623213e-131)	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 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))))`
23	-	2	(1.8506490781866015e-103 2.082040596795645e+103 3.988235368784101e+237 -4.446746164579586e-44 3.2201876633272175e-271)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	43	0
↳	`(/.f64 d h)`	overflow	43
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	39	0
↳	`(/.f64 d l)`	overflow	39
`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
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	27	0
↳	`(/.f64 d l)`	underflow	27
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	12	0
↳	`(*.f64 M D)`	overflow	37
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	10	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))`	*no**	9	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	9	0
↳	`(/.f64 d h)`	underflow	30
↳	`(/.f64 d l)`	underflow	27
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	16
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	78
↳	`(/.f64 h l)`	overflow	31
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	79
↳	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	overflow	79
↳	`(*.f64 M D)`	overflow	37
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	46
↳	`(.f64 (/.f64 #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	78
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	6	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	78
↳	`(*.f64 M D)`	overflow	37
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	46
↳	`(.f64 (/.f64 #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	78
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(/.f64 h l)`	underflow	30
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	5	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	89
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	89
↳	`(*.f64 M D)`	underflow	27
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	52
↳	`(/.f64 h l)`	overflow	31

Confusion

	Predicted +	Predicted -
+	99	4
-	37	116

Precision

0.7279411764705882

Recall

0.9611650485436893

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	99	0	4
-	37	0	116

Precision?

0.7279411764705882

Recall?

0.9611650485436893

Freqs

test

number	freq
0	120
1	93
2	31
3	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

150.0ms

512×

valid

Compiler

Compiled 352 to 70 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-pow: 43.0ms (35.8% of total)

ival-div: 38.0ms (31.6% of total)

ival-mult: 31.0ms (25.8% of total)

ival-pow2: 5.0ms (4.2% of total)

ival-sub: 2.0ms (1.7% of total)

ival-true: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

preprocess614.0ms (2.8%)

Memory

-15.4MiB live, 285.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	1960	548
3	4611	548
0	22	29
0	38	27
1	67	27
2	174	27
3	1054	27
4	3441	27
5	6724	27
0	8027	26

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 40 to 22 computations (45% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(.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))))

Status

Accuracy

Program

▶

61.0%

(*.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))))

Compiler

Compiled 40 to 22 computations (45% saved)

simplify447.0ms (2.1%)

Memory

-4.6MiB live, 214.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (0.4%)

Memory

22.3MiB live, 100.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.81845551271334	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 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	8.858403905296303	(.f64 (.f64 (/.f64 #s(literal 1 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	15.998373835869824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	17.635257923987172	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

71.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

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

ival-pow: 12.0ms (36.6% of total)

ival-div: 9.0ms (27.5% of total)

ival-mult: 8.0ms (24.4% of total)

ival-pow2: 3.0ms (9.2% 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)

series76.0ms (0.4%)

Memory

-1.5MiB live, 36.8MiB allocated

Counts

6 → 204

Calls

Call 1

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

Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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Calls

51 calls:

Time	Variable		Point	Expression
27.0ms	h	@	0	(pow (/ d h) (/ 1 2))
4.0ms	l	@	inf	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
3.0ms	D	@	0	(pow (/ (* M D) (* 2 d)) 2)
2.0ms	h	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
1.0ms	M	@	0	(pow (/ (* M D) (* 2 d)) 2)

simplify317.0ms (1.5%)

Memory

-13.8MiB live, 287.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 660×	`lower-fma.f64`
6 660×	`lower-fma.f32`
5 620×	`lower-*.f64`
5 620×	`lower-*.f32`
3 426×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite317.0ms (1.5%)

Memory

28.2MiB live, 272.5MiB allocated

Rules

7 446×	`lower-*.f32`
7 434×	`lower-*.f64`
4 352×	`lower-fma.f64`
4 352×	`lower-fma.f32`
3 368×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
0	38	60
1	124	59
2	828	59
0	8726	58

Stop Event

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

Counts

6 → 603

Calls

Call 1

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

eval132.0ms (0.6%)

Memory: 9.3MiB live, 238.9MiB allocated
Compiler: Compiled 32 235 to 2 661 computations (91.7% saved)

prune220.0ms (1%)

Memory

-26.0MiB live, 410.0MiB allocated

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	774	35	809
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	775	35	810

Accuracy

89.9%

Counts

810 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.1%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	21.2%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 h)) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
▶	30.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	27.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
	26.0%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	26.8%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	47.3%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
	47.5%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	30.1%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	47.4%	(.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
	56.0%	(.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 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	49.4%	(.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 (neg.f64 D) (.f64 M (.f64 M D))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (neg.f64 (.f64 (*.f64 d d) #s(literal 4 binary64))))))
▶	64.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	47.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 1/2 binary64)))))
	56.2%	(.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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))))))
	51.1%	(.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)) (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 d #s(literal 2 binary64)))))) (/.f64 h l))))
	60.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (.f64 M D)) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (*.f64 d #s(literal 2 binary64))))))
	43.9%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M)))) (.f64 d (*.f64 d l))))))
	33.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	34.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	34.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	61.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.5%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	61.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	27.5%	(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
	47.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	47.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	18.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
▶	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
	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 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	12.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))))
	1.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (neg.f64 d)))))
▶	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))

Compiler

Compiled 2 618 to 1 600 computations (38.9% saved)

simplify467.0ms (2.2%)

Memory

-88.0MiB live, 368.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	384	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	4800	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
cost-diff	0	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
cost-diff	384	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (/.f64 h l))
cost-diff	0	(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))))
cost-diff	0	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l 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 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 h l))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
cost-diff	0	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1088	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

9 860×	`lower-*.f32`
9 800×	`lower-*.f64`
1 944×	`lower-/.f32`
1 914×	`lower-/.f64`
1 742×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	787
0	160	758
1	305	732
2	879	694
3	5589	694
0	8252	684

Stop Event

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

Calls

Call 1

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

localize316.0ms (1.5%)

Memory

21.4MiB live, 574.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 M D)
accuracy	0	(*.f64 #s(literal 2 binary64) d)
accuracy	0	(sqrt.f64 l)
accuracy	0	(sqrt.f64 d)
accuracy	0	(sqrt.f64 (neg.f64 h))
accuracy	0	(sqrt.f64 (neg.f64 d))
accuracy	0	(neg.f64 h)
accuracy	0	(neg.f64 d)
accuracy	0	(.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))
accuracy	0	(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
accuracy	0	(sqrt.f64 (/.f64 h l))
accuracy	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 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
accuracy	0	(*.f64 h l)
accuracy	0	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
accuracy	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
accuracy	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
accuracy	0	(*.f64 d #s(literal 2 binary64))
accuracy	0	(.f64 M (.f64 D #s(literal 1/2 binary64)))
accuracy	0	(*.f64 M D)
accuracy	0	(*.f64 D #s(literal 1/2 binary64))

Samples

214.0ms

256×

invalid

Compiler

Compiled 795 to 80 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 114.0ms (65.1% of total)

ival-div: 26.0ms (14.8% of total)

ival-sqrt: 15.0ms (8.6% of total)

ival-pow: 11.0ms (6.3% of total)

ival-pow2: 3.0ms (1.7% of total)

ival-add: 2.0ms (1.1% of total)

ival-sub: 2.0ms (1.1% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series159.0ms (0.7%)

Memory

-9.8MiB live, 344.3MiB allocated

Counts

32 → 1 008

Calls

Call 1

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

Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (sqrt l) (taylor 0 l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor 0 l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor 0 l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())

Calls

252 calls:

Time	Variable		Point	Expression
16.0ms	D	@	0	(* M D)
7.0ms	h	@	0	(/ (/ (* M D) (* d 2)) (/ 1 h))
3.0ms	d	@	0	(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)
3.0ms	d	@	inf	(/ (/ (* M D) (* d 2)) (/ 1 h))
3.0ms	h	@	0	(* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d)))

simplify348.0ms (1.6%)

Memory

34.8MiB live, 495.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 240×	`lower-*.f64`
9 240×	`lower-*.f32`
5 604×	`lower-fma.f64`
5 604×	`lower-fma.f32`
3 882×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	16234
1	1109	15688
2	3957	15573
0	8487	15243

Stop Event

1×	iter limit
1×	node limit

Counts

1 008 → 1 008

Calls

Call 1

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

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

rewrite339.0ms (1.6%)

Memory

27.5MiB live, 518.0MiB allocated

Rules

4 624×	`lower-*.f32`
4 574×	`lower-*.f64`
4 130×	`lower-/.f32`
4 106×	`lower-/.f64`
2 148×	`lower-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	398
0	137	367
1	408	331
2	2680	318
0	8787	318

Stop Event

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

Counts

32 → 1 004

Calls

Call 1

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

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

eval328.0ms (1.5%)

Memory: 13.6MiB live, 636.5MiB allocated
Compiler: Compiled 79 225 to 5 076 computations (93.6% saved)

prune501.0ms (2.3%)

Memory

-31.8MiB live, 863.1MiB allocated

Pruning

53 alts after pruning (52 fresh and 1 done)

	Pruned	Kept	Total
New	2 109	41	2 150
Fresh	19	11	30
Picked	4	1	5
Done	0	0	0
Total	2 132	53	2 185

Accuracy

91.9%

Counts

2 185 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.1%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	21.9%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
	29.2%	(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	35.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 D (/.f64 (.f64 M (.f64 M D)) d)) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	29.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	26.0%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	26.8%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	47.5%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	23.6%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
▶	2.8%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	30.1%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	21.9%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))))
	29.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	56.0%	(.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 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	60.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (/.f64 M d) (.f64 (*.f64 D #s(literal 1/2 binary64)) h)))))
	56.2%	(.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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))))))
	33.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))))) (/.f64 h l))))
	26.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D)))) (/.f64 h l))))
	28.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
	28.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (*.f64 d #s(literal 4 binary64)))))) (/.f64 h l))))
	27.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (/.f64 #s(literal 1/8 binary64) (.f64 d (*.f64 d l)))))))
▶	64.4%	(.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 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	34.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	42.6%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	47.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
▶	47.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	34.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	14.6%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (.f64 h l)))) (/.f64 #s(literal -1/8 binary64) d))) (*.f64 l l)))
	12.9%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
	24.4%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 l l)) l)))))))))
	14.2%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (neg.f64 (*.f64 M M))) d)))
	26.7%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
	36.6%	#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 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
▶	18.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
	18.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
	57.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
	21.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) d) #s(literal -1/8 binary64))) (.f64 h (sqrt.f64 h))) (sqrt.f64 l) (.f64 (.f64 l (sqrt.f64 l)) (.f64 (sqrt.f64 h) d))) (.f64 (*.f64 l (sqrt.f64 l)) (sqrt.f64 l))) h))
	16.2%	#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 (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	11.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	39.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
▶	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	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 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
	1.7%	#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 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	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 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 h l)) #s(literal -2 binary64)))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
✓	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	22.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	24.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))

Compiler

Compiled 3 232 to 2 028 computations (37.3% saved)

simplify193.0ms (0.9%)

Memory

-25.6MiB live, 286.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 980×	`lower-*.f32`
6 930×	`lower-*.f64`
3 520×	`lower-/.f32`
3 490×	`lower-/.f64`
2 716×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	753
0	155	714
1	305	696
2	877	664
3	4552	664
4	7357	664
0	8241	654

Stop Event

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

Calls

Call 1

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

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

localize289.0ms (1.3%)

Memory

41.9MiB live, 351.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.8179929056083948	(.f64 D (.f64 M M))
accuracy	6.882106033627001	(.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))
accuracy	8.958492609506058	(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
accuracy	9.413780741788324	(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
accuracy	5.358795476635423	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
accuracy	7.227339581969607	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy	8.125771162936461	(sqrt.f64 (/.f64 d l))
accuracy	10.095119033179396	(sqrt.f64 (/.f64 d h))
accuracy	0.8183708196370567	(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d)))
accuracy	1.0450111327227176	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
accuracy	8.125771162936461	(sqrt.f64 (/.f64 d l))
accuracy	33.121356203801035	#s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))
accuracy	0	(*.f64 h l)
accuracy	0.13671875	(/.f64 d (sqrt.f64 (*.f64 h l)))
accuracy	7.139821252874117	(sqrt.f64 (*.f64 h l))
accuracy	32.891029284104455	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
accuracy	3.2301873740018157	(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
accuracy	3.818444660594706	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
accuracy	8.125771162936461	(sqrt.f64 (/.f64 d l))
accuracy	10.095119033179396	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

89.0ms	136×	0	valid
72.0ms	120×	0	invalid

Compiler

Compiled 722 to 81 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 53.0ms (45.8% of total)

ival-div: 26.0ms (22.5% of total)

ival-sqrt: 11.0ms (9.5% of total)

ival-pow: 11.0ms (9.5% of total)

ival-sub: 5.0ms (4.3% of total)

ival-neg: 4.0ms (3.5% of total)

ival-add: 2.0ms (1.7% of total)

ival-pow2: 2.0ms (1.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series153.0ms (0.7%)

Memory

-23.0MiB live, 129.9MiB allocated

Counts

26 → 1 068

Calls

Call 1

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

Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf d) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf d) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf d) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf d) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf d) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf d) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf d) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf d) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor 0 h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor 0 h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor 0 h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor 0 h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf h) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor 0 l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor 0 l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor 0 l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor 0 l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor inf l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (taylor -inf l) (#s(alt (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) (patch (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf D) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor 0 M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())
#s(alt (* D (pow M 2)) (taylor -inf M) (#s(alt (.f64 D (.f64 M M)) (patch (.f64 D (.f64 M M)) #<representation binary64>) () ())) ())

Calls

267 calls:

Time	Variable		Point	Expression
29.0ms	D	@	0	(/ (/ (* M (* D 1/2)) (* d 2)) l)
4.0ms	M	@	0	(* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))
1.0ms	M	@	0	(/ (/ (* M (* D 1/2)) (* d 2)) l)
1.0ms	h	@	-inf	(/ (+ (* d (/ (sqrt (neg h)) (sqrt (neg l)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)
1.0ms	D	@	0	(* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))

simplify411.0ms (1.9%)

Memory

33.6MiB live, 514.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 682×	`lower-*.f64`
8 682×	`lower-*.f32`
5 270×	`lower-fma.f64`
5 270×	`lower-fma.f32`
3 416×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	428	19679
1	1280	18996
2	4609	18876
0	8101	18465

Stop Event

1×	iter limit
1×	node limit

Counts

1 068 → 1 068

Calls

Call 1

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

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

rewrite313.0ms (1.5%)

Memory

-1.5MiB live, 520.9MiB allocated

Rules

5 438×	`lower-*.f32`
5 394×	`lower-*.f64`
3 156×	`lower-/.f32`
3 126×	`lower-/.f64`
2 500×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	475
0	146	431
1	449	381
2	3110	363
0	8395	363

Stop Event

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

Counts

26 → 996

Calls

Call 1

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

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

eval296.0ms (1.4%)

Memory: -8.9MiB live, 646.2MiB allocated
Compiler: Compiled 73 065 to 4 653 computations (93.6% saved)

prune429.0ms (2%)

Memory

17.5MiB live, 741.9MiB allocated

Pruning

64 alts after pruning (61 fresh and 3 done)

	Pruned	Kept	Total
New	2 149	37	2 186
Fresh	23	24	47
Picked	3	2	5
Done	0	1	1
Total	2 175	64	2 239

Accuracy

93.4%

Counts

2 239 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.1%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
▶	29.2%	(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	26.0%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	26.8%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	47.5%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	2.1%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	2.8%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	2.1%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l)))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
✓	2.8%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	6.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
	30.1%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	27.7%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))))
	2.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))))
	29.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	56.2%	(.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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))))))
	39.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	28.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (*.f64 d #s(literal 4 binary64)))))) (/.f64 h l))))
	27.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (/.f64 #s(literal 1/8 binary64) (.f64 d (*.f64 d l)))))))
	39.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	60.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (/.f64 M d) (.f64 (*.f64 D #s(literal 1/2 binary64)) h)))))
	60.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) l))) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	34.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	42.6%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	53.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M (.f64 D D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	59.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	50.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.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 l)))
	51.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	51.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 #s(literal 4 binary64) (.f64 d d)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	44.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (.f64 #s(literal 4 binary64) (.f64 d d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
▶	64.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	49.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 h (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 M M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 d l)))
	41.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (*.f64 d d)) l) l))) (sqrt.f64 (/.f64 d l)))
	6.9%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))
	2.8%	(.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))))
▶	10.8%	(.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d))))) l)) (sqrt.f64 (/.f64 d l)))
	36.9%	(.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	18.5%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (*.f64 M M)))))) d))
	15.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 M M))) d)))) (*.f64 l l)))
	26.7%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	14.2%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (neg.f64 (*.f64 M M))) d)))
	14.0%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) d) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
	36.6%	#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 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
	57.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
	11.7%	#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 (fma.f64 (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (.f64 h (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))) (sqrt.f64 (neg.f64 l)) (.f64 d (.f64 d (sqrt.f64 (neg.f64 h))))) (*.f64 d (sqrt.f64 (neg.f64 l)))) h))
	19.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	18.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
▶	19.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))))
	19.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
	11.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (/ (sqrt (neg h)) (sqrt (neg l)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	39.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (/ (sqrt (neg h)) (sqrt (neg l)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) 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 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	1.7%	#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 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	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 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 h l)) #s(literal -2 binary64)))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
✓	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	22.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	24.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
▶	22.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))

Compiler

Compiled 3 511 to 2 252 computations (35.9% saved)

simplify212.0ms (1%)

Memory

4.7MiB live, 193.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 610×	`lower-*.f32`
6 554×	`lower-*.f64`
4 158×	`lower-/.f32`
4 130×	`lower-/.f64`
1 296×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	729
0	149	703
1	324	666
2	1113	654
3	4479	654
4	6655	654
0	8304	644

Stop Event

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

Calls

Call 1

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

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

localize357.0ms (1.7%)

Memory

-1.5MiB live, 278.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.5425151914481914	(.f64 (.f64 M (.f64 M (.f64 D D))) (*.f64 h #s(literal -1/2 binary64)))
accuracy	4.772419594103414	(.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)
accuracy	6.8747992537595355	(/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))
accuracy	8.125771162936461	(sqrt.f64 (/.f64 d l))
accuracy	5.844312720539778	(.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d)))))
accuracy	8.125771162936461	(sqrt.f64 (/.f64 d l))
accuracy	10.87294609649926	(sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))
accuracy	17.053296560854047	#s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d))))) l))
accuracy	0.16796875	(/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d))))
accuracy	3.0115801622534053	(*.f64 (neg.f64 h) (/.f64 l d))
accuracy	10.532842978367107	(sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))
accuracy	16.238878362981982	#s(approx (* (* (pow (/ 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)))))
accuracy	0	(*.f64 d d)
accuracy	6.978940982674599	(/.f64 (.f64 d d) (.f64 h l))
accuracy	11.851768153758067	(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
accuracy	16.238878362981982	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
accuracy	3.2301873740018157	(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
accuracy	3.818444660594706	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
accuracy	8.125771162936461	(sqrt.f64 (/.f64 d l))
accuracy	10.095119033179396	(sqrt.f64 (/.f64 d h))

Samples

98.0ms	120×	0	invalid
82.0ms	136×	0	valid

Compiler

Compiled 676 to 88 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 63.0ms (50.8% of total)

ival-div: 27.0ms (21.8% of total)

ival-sqrt: 12.0ms (9.7% of total)

ival-pow: 11.0ms (8.9% of total)

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

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

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

ival-pow2: 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)

series261.0ms (1.2%)

Memory

-7.4MiB live, 143.7MiB allocated

Counts

28 → 1 152

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) (patch (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) #<representation binary64>) () ())
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Outputs
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (taylor 0 d) (#s(alt (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (patch (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (taylor 0 d) (#s(alt (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (patch (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (taylor inf d) (#s(alt (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (patch (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (taylor inf d) (#s(alt (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (patch (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (taylor inf d) (#s(alt (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (patch (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (taylor inf d) (#s(alt (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (patch (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow d 3))))) (taylor -inf d) (#s(alt (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (patch (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow d 3))))) (taylor -inf d) (#s(alt (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (patch (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow d 3))))) (taylor -inf d) (#s(alt (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (patch (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (pow d 3))))) (taylor -inf d) (#s(alt (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) (patch (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf M) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf D) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf h) (#s(alt (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())

Calls

288 calls:

Time	Variable		Point	Expression
35.0ms	D	@	inf	(* (* M (* M (* D D))) (* h -1/2))
34.0ms	D	@	0	(/ (* (* -1/8 (neg (* D (* D (* M M))))) (sqrt (/ h (* d (* d d))))) l)
1.0ms	h	@	0	(/ (* (* -1/8 (neg (* D (* D (* M M))))) (sqrt (/ h (* d (* d d))))) l)
1.0ms	M	@	0	(/ (* (* -1/8 (neg (* D (* D (* M M))))) (sqrt (/ h (* d (* d d))))) l)
1.0ms	d	@	0	(/ (* (* -1/8 (neg (* D (* D (* M M))))) (sqrt (/ h (* d (* d d))))) l)

simplify353.0ms (1.6%)

Memory

38.9MiB live, 292.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 048×	`lower-*.f64`
8 048×	`lower-*.f32`
3 574×	`lower-fma.f64`
3 574×	`lower-fma.f32`
3 508×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	18561
1	999	18051
2	3548	17951
3	7389	17909
0	8040	17576

Stop Event

1×	iter limit
1×	node limit

Counts

1 152 → 1 152

Calls

Call 1

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

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

rewrite353.0ms (1.6%)

Memory

-38.7MiB live, 387.9MiB allocated

Rules

4 530×	`lower-*.f32`
4 478×	`lower-*.f64`
3 812×	`lower-/.f32`
3 784×	`lower-/.f64`
2 412×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	479
0	144	445
1	520	382
2	4145	375
0	8359	367

Stop Event

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

Counts

28 → 973

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) d)) (neg.f64 (log.f64 h))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) h)) (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) d) (/.f64 #s(literal -1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)))) (/.f64 (.f64 M D) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) h) (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(neg.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) d) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) d) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)) (.f64 M D)))
(/.f64 h (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (/.f64 d h))
(/.f64 (.f64 M D) (.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64))))))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (neg.f64 (.f64 M D)) (neg.f64 (.f64 (/.f64 d h) #s(literal 2 binary64))))
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(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))))
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 l))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))
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(exp.f64 (.f64 (log.f64 (/.f64 (.f64 h (neg.f64 l)) d)) #s(literal 1/2 binary64)))
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(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 d l)))
(/.f64 (sqrt.f64 (*.f64 h (neg.f64 l))) (sqrt.f64 d))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 h) (neg.f64 l))) (sqrt.f64 (neg.f64 d)))
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(/.f64 (sqrt.f64 (*.f64 (neg.f64 l) (neg.f64 h))) (sqrt.f64 (neg.f64 d)))
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(pow.f64 (pow.f64 (/.f64 (*.f64 h (neg.f64 l)) d) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (.f64 h (neg.f64 l)) d) (/.f64 (*.f64 h (neg.f64 l)) d)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 h (neg.f64 l)) d))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 l d)))
(.f64 (sqrt.f64 l) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 h))))
(*.f64 (sqrt.f64 h) (sqrt.f64 (neg.f64 (/.f64 l d))))
(*.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (neg.f64 h)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 h l) d)))
(.f64 (sqrt.f64 (.f64 h (neg.f64 l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 d)))
(.f64 (pow.f64 (/.f64 (.f64 h (neg.f64 l)) d) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 h (neg.f64 l)) d) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (/.f64 l d) #s(literal -1 binary64))) (sqrt.f64 h))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 h l) d))
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (*.f64 h l) d))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 d l)) (/.f64 (*.f64 h l) d))
(neg.f64 (/.f64 (*.f64 h l) d))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 h (neg.f64 l))))
(/.f64 (neg.f64 h) (/.f64 d l))
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(/.f64 (*.f64 (neg.f64 h) (neg.f64 l)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 h (neg.f64 l))) (neg.f64 d))
(/.f64 (*.f64 (neg.f64 h) #s(literal 1 binary64)) (/.f64 d l))
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(.f64 (.f64 h (neg.f64 l)) (/.f64 #s(literal 1 binary64) d))
(.f64 (.f64 (/.f64 l d) #s(literal -1 binary64)) h)
(exp.f64 (.f64 (log.f64 (/.f64 h (.f64 d (*.f64 d d)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 h (.f64 d (.f64 d d))))
(/.f64 #s(literal 1 binary64) (*.f64 d (sqrt.f64 (/.f64 d h))))
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(/.f64 (sqrt.f64 (/.f64 h d)) d)
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(/.f64 (sqrt.f64 (/.f64 (/.f64 h d) d)) (sqrt.f64 d))
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(pow.f64 (*.f64 d (sqrt.f64 (/.f64 d h))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 h (.f64 d (.f64 d d))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 h (.f64 d (.f64 d d))) (/.f64 h (.f64 d (*.f64 d d)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 h (.f64 d (.f64 d d))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d)))))
(.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 d (*.f64 d d))))))
(.f64 (sqrt.f64 h) (/.f64 #s(literal 1 binary64) (.f64 d (sqrt.f64 d))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 h (neg.f64 (.f64 d (*.f64 d d))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d (sqrt.f64 d))) (sqrt.f64 h))
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(.f64 (.f64 l (*.f64 d d)) #s(literal 4 binary64))
(.f64 M (.f64 (.f64 M D) (.f64 D (*.f64 h #s(literal -1/2 binary64)))))
(.f64 h (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 M (*.f64 D D)))))
(.f64 (.f64 M D) (.f64 (.f64 M D) (*.f64 h #s(literal -1/2 binary64))))
(.f64 (.f64 M M) (.f64 (.f64 D D) (*.f64 h #s(literal -1/2 binary64))))
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(.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 M (*.f64 D D))))
(.f64 (.f64 M (.f64 (.f64 M (*.f64 D D)) h)) #s(literal -1/2 binary64))
(.f64 (.f64 (.f64 M D) (.f64 D (*.f64 h #s(literal -1/2 binary64)))) M)
(.f64 (.f64 (.f64 M (.f64 M (*.f64 D D))) #s(literal -1/2 binary64)) h)
(.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) M) (.f64 M (*.f64 D D)))
(.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M D)) (*.f64 M D))
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eval278.0ms (1.3%)

Memory: 68.1MiB live, 598.7MiB allocated
Compiler: Compiled 67 152 to 3 804 computations (94.3% saved)

prune797.0ms (3.7%)

Memory

-133.0MiB live, 934.1MiB allocated

Pruning

64 alts after pruning (60 fresh and 4 done)

	Pruned	Kept	Total
New	2 225	23	2 248
Fresh	19	37	56
Picked	4	1	5
Done	0	3	3
Total	2 248	64	2 312

Accuracy

93.6%

Counts

2 312 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.1%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	26.3%	(/.f64 (.f64 (fma.f64 M (.f64 (.f64 M (.f64 D D)) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	33.5%	(/.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) d) (/.f64 #s(literal -1/2 binary64) (.f64 l (.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	26.0%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	26.8%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	47.5%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	2.1%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	2.8%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	2.1%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l)))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
✓	2.8%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	6.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
	30.1%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	27.7%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))))
	2.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))))
	29.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	56.2%	(.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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))))))
	53.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M (.f64 D D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	59.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	50.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.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 l)))
	51.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	51.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 #s(literal 4 binary64) (.f64 d d)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
	39.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	35.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	39.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))) (sqrt.f64 (neg.f64 d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	43.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 (.f64 d d) #s(literal 4 binary64)))) (.f64 M (.f64 M (*.f64 D D))) #s(literal 1 binary64)))
	45.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)))
	51.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 (*.f64 d d) #s(literal 4 binary64))))) #s(literal 1 binary64)))
	47.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 M (/.f64 (.f64 (.f64 M D) (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 (*.f64 d d) #s(literal 4 binary64)))) #s(literal 1 binary64)))
	63.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) l) (.f64 d #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	63.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 D #s(literal 1/4 binary64)) d) M) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	6.9%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))
	2.8%	(.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))))
	13.5%	(.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M (.f64 D D)))) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d))))) l)) (sqrt.f64 (/.f64 d l)))
	11.7%	(.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d))))) l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	9.7%	(.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 D (.f64 D (.f64 M M))))) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d))))) l)) #s(approx (sqrt (/ d l)) (neg.f64 (sqrt.f64 (/.f64 d l)))))
	11.0%	(.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(approx (* (* -1/8 (neg (* D (* D (* M M))))) (sqrt (/ h (* d (* d d))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d)))))))) l)) (sqrt.f64 (/.f64 d l)))
	9.7%	(.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) l)) (.f64 (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d)))) #s(literal -1/8 binary64)))) (sqrt.f64 (/.f64 d l)))
	36.9%	(.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	13.7%	#s(approx (/ (* (* (+ 1 (/ (* (* M (* M (* D D))) (* h -1/2)) (* (* d (* d 4)) l))) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (neg.f64 (*.f64 M M))) d)))
	26.7%	#s(approx (/ (* (* (+ 1 (/ (* (* M (* M (* D D))) (* h -1/2)) (* (* d (* d 4)) l))) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	15.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 M M))) d)))) (*.f64 l l)))
	14.0%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) d) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))
	36.6%	#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 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
	57.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
	18.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) (sqrt.f64 (neg.f64 h))))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
	19.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (*.f64 h (neg.f64 l)) d))))
	11.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (/ (sqrt (neg h)) (sqrt (neg l)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	39.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (/ (sqrt (neg h)) (sqrt (neg l)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) 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 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	1.7%	#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 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	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 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 h l)) #s(literal -2 binary64)))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
✓	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	22.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	28.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
✓	22.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	29.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))

Compiler

Compiled 5 322 to 1 699 computations (68.1% saved)

regimes345.0ms (1.6%)

Memory

14.4MiB live, 457.9MiB allocated

Counts

137 → 3

Calls

Call 1

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

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

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

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

Calls

7 calls:

99.0ms	d
43.0ms	M
42.0ms	(*.f64 M D)
39.0ms	h
38.0ms	D

Results

Accuracy	Segments	Branch
75.2%	2	`d`
78.8%	3	`h`
76.9%	3	`l`
67.3%	2	`M`
64.4%	1	`D`
72.4%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
67.0%	2	`(*.f64 M D)`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes108.0ms (0.5%)

Memory

-4.4MiB live, 186.1MiB allocated

Counts

105 → 4

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	h
32.0ms	d
29.0ms	l

Results

Accuracy	Segments	Branch
73.1%	3	`d`
72.8%	3	`l`
74.7%	4	`h`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes126.0ms (0.6%)

Memory

-25.6MiB live, 190.8MiB allocated

Counts

103 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

32.0ms	(.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))))
30.0ms	h
29.0ms	d
29.0ms	l

Results

Accuracy	Segments	Branch
72.2%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
70.6%	3	`l`
70.9%	4	`d`
68.1%	2	`h`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes31.0ms (0.1%)

Memory

13.0MiB live, 50.5MiB allocated

Counts

101 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

25.0ms

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

Results

Accuracy	Segments	Branch
71.5%	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 40 to 22 computations (45% saved)

regimes38.0ms (0.2%)

Memory

16.5MiB live, 54.6MiB allocated

Counts

99 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

32.0ms

(*.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
70.9%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes97.0ms (0.5%)

Memory

-0.6MiB live, 79.1MiB allocated

Counts

92 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

49.0ms

(*.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))))

42.0ms

Results

Accuracy	Segments	Branch
66.3%	3	`l`
70.5%	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 46 to 27 computations (41.3% saved)

regimes219.0ms (1%)

Memory

1.9MiB live, 191.2MiB allocated

Counts

89 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

53.0ms	(*.f64 M D)
45.0ms	d
40.0ms	h
39.0ms	(.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))))
36.0ms	M

Results

Accuracy	Segments	Branch
66.9%	4	`(*.f64 M D)`
65.2%	4	`M`
71.4%	6	`d`
62.9%	3	`h`
68.1%	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))))`

Compiler

Compiled 66 to 43 computations (34.8% saved)

regimes76.0ms (0.4%)

Memory

15.2MiB live, 52.9MiB allocated

Counts

87 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

47.0ms

(*.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))))

23.0ms

Results

Accuracy	Segments	Branch
60.2%	2	`D`
67.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes124.0ms (0.6%)

Memory

-26.7MiB live, 95.1MiB allocated

Counts

80 → 3

Calls

Call 1

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

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

Calls

3 calls:

42.0ms

39.0ms

37.0ms

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

Results

Accuracy	Segments	Branch
65.1%	5	`l`
66.0%	3	`d`
64.9%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes160.0ms (0.7%)

Memory

4.1MiB live, 127.9MiB allocated

Counts

74 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

54.0ms	d
47.0ms	M
33.0ms	(.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))))
19.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
60.4%	3	`M`
63.0%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
62.8%	3	`(*.f64 M D)`
67.6%	6	`d`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes143.0ms (0.7%)

Memory

15.9MiB live, 124.0MiB allocated

Counts

70 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

44.0ms	h
43.0ms	d
34.0ms	(*.f64 M D)
17.0ms	(.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
62.8%	3	`(*.f64 M D)`
58.3%	4	`h`
67.2%	6	`d`
61.7%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes116.0ms (0.5%)

Memory

19.1MiB live, 178.2MiB allocated

Counts

62 → 6

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	(*.f64 M D)
36.0ms	d
19.0ms	l
19.0ms	D

Results

Accuracy	Segments	Branch
54.5%	2	`D`
60.8%	5	`l`
66.5%	6	`d`
57.2%	2	`(*.f64 M D)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes51.0ms (0.2%)

Memory

-42.3MiB live, 82.7MiB allocated

Counts

61 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

29.0ms

15.0ms

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

Results

Accuracy	Segments	Branch
60.5%	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))))`
64.6%	6	`d`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes52.0ms (0.2%)

Memory

22.4MiB live, 102.8MiB allocated

Counts

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

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

Calls

3 calls:

18.0ms

16.0ms

14.0ms

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

Results

Accuracy	Segments	Branch
62.6%	5	`d`
50.3%	4	`M`
54.2%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes33.0ms (0.2%)

Memory

-7.5MiB live, 70.1MiB allocated

Counts

52 → 6

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	d
15.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
49.7%	3	`(*.f64 M D)`
63.1%	6	`d`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes32.0ms (0.1%)

Memory

21.9MiB live, 60.1MiB allocated

Counts

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

Calls

2 calls:

15.0ms	d
13.0ms	l

Results

Accuracy	Segments	Branch
58.7%	5	`l`
60.1%	5	`d`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes118.0ms (0.5%)

Memory

-14.9MiB live, 73.9MiB allocated

Counts

46 → 4

Calls

Call 1

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

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

Calls

5 calls:

48.0ms	d
30.0ms	D
13.0ms	h
13.0ms	l
11.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
51.4%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
54.9%	5	`l`
45.7%	3	`D`
48.3%	2	`h`
54.3%	4	`d`

Compiler

Compiled 64 to 42 computations (34.4% saved)

regimes50.0ms (0.2%)

Memory

-13.8MiB live, 63.3MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

26.0ms

11.0ms

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

10.0ms

Results

Accuracy	Segments	Branch
50.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
50.6%	3	`l`
52.0%	4	`d`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes31.0ms (0.1%)

Memory

16.9MiB live, 57.6MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms

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

9.0ms

Results

Accuracy	Segments	Branch
50.1%	3	`d`
46.9%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
47.2%	2	`l`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes9.0ms (0%)

Memory

-18.8MiB live, 19.2MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
50.0%	3	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes21.0ms (0.1%)

Memory

8.4MiB live, 46.2MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.2%	2	`l`
32.1%	2	`(*.f64 M D)`
47.2%	2	`h`
47.2%	2	`d`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes45.0ms (0.2%)

Memory

-8.5MiB live, 28.9MiB 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 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (+ 1 (/ (* (* M (* M (* D D))) (* h -1/2)) (* (* d (* d 4)) l))) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))

Outputs

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

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

Calls

4 calls:

34.0ms	M
3.0ms	d
3.0ms	l
3.0ms	h

Results

Accuracy	Segments	Branch
31.8%	2	`M`
45.0%	2	`h`
45.5%	2	`d`
45.1%	2	`l`

Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes13.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

3.0ms	d
2.0ms	l
2.0ms	D
2.0ms	h
2.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
31.0%	2	`D`
36.6%	2	`h`
37.0%	2	`l`
33.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
37.8%	2	`d`

Compiler

Compiled 64 to 42 computations (34.4% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
37.4%	2	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes21.0ms (0.1%)

Memory

-19.3MiB live, 24.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

13.0ms	l
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	h
1.0ms	M
1.0ms	d

Results

Accuracy	Segments	Branch
25.4%	1	`D`
25.4%	1	`M`
25.4%	1	`(*.f64 M D)`
25.4%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
25.4%	1	`h`
25.4%	1	`l`
25.4%	1	`d`

Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch129.0ms (0.6%)

Memory

-14.0MiB live, 182.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	-1.2227700048394463e-307	1.3106105084317864e-301
53.0ms	-3.5028356897521114e+258	-7.497748935960804e+253

Samples

51.0ms	236×	0	invalid
44.0ms	272×	0	valid

Compiler

Compiled 1 481 to 982 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 32.0ms (40.9% of total)

ival-div: 19.0ms (24.3% of total)

ival-pow: 16.0ms (20.4% of total)

ival-pow2: 8.0ms (10.2% of total)

ival-sub: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

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

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

bsearch177.0ms (0.8%)

Memory

22.3MiB live, 184.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
3.0ms	-1.2227700048394463e-307	1.3106105084317864e-301
89.0ms	-1.9518782945909431e-100	-1.5967053561778247e-116
74.0ms	-9.926386552351486e+208	-2.5238981566479525e+204

Samples

80.0ms	288×	0	valid
63.0ms	272×	0	invalid

Compiler

Compiled 2 212 to 1 470 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 43.0ms (48.5% of total)

ival-div: 19.0ms (21.4% of total)

ival-pow: 17.0ms (19.2% of total)

ival-pow2: 5.0ms (5.6% of total)

ival-sub: 3.0ms (3.4% of total)

exact: 1.0ms (1.1% of total)

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

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

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.081292923815665e+244	+inf

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.081292923815665e+244	+inf

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.8172649711699365e+105	1.6743505902909655e+109

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.8172649711699365e+105	1.6743505902909655e+109

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.6220543502186983e-94	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch3.0ms (0%)

Memory

-34.4MiB live, 2.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
3.0ms	-3.6220543502186983e-94	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch113.0ms (0.5%)

Memory

33.7MiB live, 223.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	7.07346500931088e+194	1.8007434366738664e+197
56.0ms	-4.639718553699595e+148	-3.2682826561988457e+136

Samples

48.0ms	272×	0	valid
34.0ms	258×	0	invalid

Compiler

Compiled 896 to 526 computations (41.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 22.0ms (35.7% of total)

ival-mult: 20.0ms (32.5% of total)

ival-pow: 11.0ms (17.9% of total)

ival-pow2: 5.0ms (8.1% of total)

ival-sub: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

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

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.6220543502186983e-94	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0311996990599315e+272	7.974922530758031e+272
0.0ms	3.260404161827614e-153	4.252817340734312e-151

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch262.0ms (1.2%)

Memory

-21.4MiB live, 404.7MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
56.0ms	8.83067678767248e+166	4.386699859738964e+170
40.0ms	2.4670912896138636e-100	4.880780143137146e-99
90.0ms	-1.2388478721485354e-306	1.8956335014642777e-305
34.0ms	-2.4291841247981602e-135	-5.656362779728559e-137
15.0ms	-4.639718553699595e+148	-3.2682826561988457e+136

Samples

109.0ms	512×	0	valid
92.0ms	521×	0	invalid

Compiler

Compiled 2 492 to 1 640 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 52.0ms (40.7% of total)

ival-div: 35.0ms (27.4% of total)

ival-pow: 22.0ms (17.2% of total)

ival-pow2: 12.0ms (9.4% of total)

ival-sub: 4.0ms (3.1% of total)

ival-true: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.6220543502186983e-94	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch166.0ms (0.8%)

Memory

-25.2MiB live, 250.1MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
51.0ms	9.126020424191758e+74	3.7893925888665523e+79
1.0ms	-1.2388478721485354e-306	1.8956335014642777e-305
51.0ms	-7.469640273703092e-48	-1.05859595385069e-51
48.0ms	-4.639718553699595e+148	-3.2682826561988457e+136

Samples

85.0ms	304×	0	valid
45.0ms	317×	0	invalid

Compiler

Compiled 1 708 to 1 124 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-pow2: 40.0ms (36.5% of total)

ival-div: 28.0ms (25.5% of total)

ival-mult: 21.0ms (19.2% of total)

ival-pow: 17.0ms (15.5% of total)

ival-sub: 3.0ms (2.7% of total)

exact: 1.0ms (0.9% of total)

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

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

bsearch86.0ms (0.4%)

Memory

10.8MiB live, 128.1MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	9.126020424191758e+74	3.7893925888665523e+79
12.0ms	-1.2388478721485354e-306	1.8956335014642777e-305
30.0ms	-1.8623295951259827e-157	-2.5775758941649553e-158
34.0ms	-7.469640273703092e-48	-1.05859595385069e-51
1.0ms	-4.639718553699595e+148	-3.2682826561988457e+136

Samples

29.0ms	192×	0	valid
22.0ms	182×	0	invalid

Compiler

Compiled 2 073 to 1 375 computations (33.7% saved)

Precisions

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

ival-div: 13.0ms (33% of total)

ival-mult: 12.0ms (30.4% of total)

ival-pow: 9.0ms (22.8% of total)

ival-pow2: 4.0ms (10.1% of total)

ival-sub: 2.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	9.126020424191758e+74	3.7893925888665523e+79
1.0ms	-1.2388478721485354e-306	1.8956335014642777e-305
10.0ms	-1.4182835095366861e-90	-1.1780542307349767e-90
1.0ms	-4.639718553699595e+148	-3.2682826561988457e+136

Samples

5.0ms	32×	0	valid
3.0ms	27×	0	invalid

Compiler

Compiled 1 365 to 911 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (32.9% of total)

ival-mult: 2.0ms (32.9% of total)

ival-pow: 1.0ms (16.4% of total)

ival-pow2: 1.0ms (16.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	-1.2388478721485354e-306	1.8956335014642777e-305
0.0ms	-1.4182835095366861e-90	-1.1780542307349767e-90
1.0ms	-4.639718553699595e+148	-3.2682826561988457e+136

Compiler

Compiled 836 to 565 computations (32.4% saved)

bsearch183.0ms (0.8%)

Memory

-34.4MiB live, 214.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
90.0ms	1.8496760288430802e-290	1.475964960196227e-266
78.0ms	-4.0222414324741477e-221	-1.4037033216044403e-226

Samples

79.0ms	320×	0	valid
70.0ms	326×	0	invalid

Compiler

Compiled 730 to 508 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-div: 71.0ms (55.9% of total)

ival-pow: 22.0ms (17.3% of total)

ival-mult: 20.0ms (15.8% of total)

ival-sub: 6.0ms (4.7% of total)

ival-pow2: 6.0ms (4.7% of total)

exact: 1.0ms (0.8% of total)

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

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

bsearch53.0ms (0.2%)

Memory

18.5MiB live, 94.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	-1.2388478721485354e-306	1.8956335014642777e-305
1.0ms	-4.639718553699595e+148	-3.2682826561988457e+136

Samples

21.0ms	128×	0	valid
17.0ms	133×	0	invalid

Compiler

Compiled 651 to 448 computations (31.2% saved)

Precisions

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

ival-div: 12.0ms (39.8% of total)

ival-mult: 8.0ms (26.6% of total)

ival-pow: 6.0ms (19.9% of total)

ival-pow2: 2.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch74.0ms (0.3%)

Memory

16.2MiB live, 129.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
66.0ms	5.567373986817314e-232	2.437509096999855e-214
1.0ms	-4.639718553699595e+148	-3.2682826561988457e+136

Samples

32.0ms	176×	0	invalid
24.0ms	160×	0	valid

Compiler

Compiled 663 to 450 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 16.0ms (40.4% of total)

ival-div: 11.0ms (27.8% of total)

ival-pow: 7.0ms (17.7% of total)

ival-pow2: 3.0ms (7.6% of total)

ival-sub: 2.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch79.0ms (0.4%)

Memory

-13.4MiB live, 71.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
72.0ms	1.8496760288430802e-290	1.475964960196227e-266

Samples

31.0ms	160×	0	valid
30.0ms	187×	0	invalid

Compiler

Compiled 373 to 272 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 18.0ms (39.5% of total)

ival-div: 12.0ms (26.4% of total)

ival-pow: 10.0ms (22% of total)

ival-pow2: 3.0ms (6.6% of total)

ival-sub: 2.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch64.0ms (0.3%)

Memory

0.8MiB live, 77.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
59.0ms	-7.900384530249034e-186	-9.884747582778661e-192

Samples

28.0ms	121×	0	invalid
22.0ms	144×	0	valid

Compiler

Compiled 322 to 237 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-pow2: 16.0ms (38.4% of total)

ival-mult: 10.0ms (24% of total)

ival-div: 9.0ms (21.6% of total)

ival-pow: 6.0ms (14.4% 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)

bsearch27.0ms (0.1%)

Memory

14.2MiB live, 52.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-1.4475236682995717e-185	-7.900384530249034e-186

Samples

11.0ms	64×	0	valid
8.0ms	72×	0	invalid

Compiler

Compiled 163 to 114 computations (30.1% saved)

Precisions

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

ival-div: 5.0ms (32.7% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-1.4475236682995717e-185	-7.900384530249034e-186

Compiler

Compiled 155 to 106 computations (31.6% saved)

simplify77.0ms (0.4%)

Memory

-26.9MiB live, 86.6MiB allocated

Algorithm

1×	egg-herbie

Rules

290×	`*-commutative_binary64`
254×	`neg-mul-1_binary64`
180×	`unsub-neg_binary64`
148×	`distribute-rgt-neg-in_binary64`
144×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	373	4376
1	508	4376
2	601	4376
3	693	4376
4	764	4376
5	818	4376
6	997	4376
7	1261	4376
8	1279	4376
9	1281	4376

Stop Event

1×

saturated

Calls

Call 1

Inputs
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Outputs
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(if (<=.f64 h #s(literal -700000000000000033591888991748106515923062685444644959828897440274619694107335760032348470296462168600456066746185243115570436258367789977323452752870709924720799117442401302446648255548137986333966901203517022846979299922987097109820211442760712735162368 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 h (.f64 M (.f64 D D)))) d) (/.f64 #s(literal -1/2 binary64) (.f64 l (.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 h #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))) (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))))))
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(if (<=.f64 h #s(literal -5000000000000000083080177364275066701430133809967831992564032497636519534313177506628725643463284812874311020544047974659399019496389668349089963249358417763506365062100227346857359060884141303083441324032 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 h (.f64 M (.f64 D D)))) d) (/.f64 #s(literal -1/2 binary64) (.f64 l (.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 h #s(literal -3732158026922485/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) l) (.f64 d #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h))))) (if (<=.f64 h #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (sqrt.f64 (neg.f64 d)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 D (/.f64 (.f64 M (.f64 M D)) d)) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) (.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 h))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 20000000000000001493011512996633915492655906002392311863260688002402309142715984725842989066149986561489580626402598843829351856691486816526719290270131801323015772774982376708360740390544457738899624810389692931322934451179781692166707787857920 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) l) (.f64 d #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal +inf.0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)) (/.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) h)) d) (/.f64 #s(literal -1/2 binary64) (.f64 l (*.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))))
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(if (<=.f64 d #s(literal -2821756786938629/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
(if (<=.f64 d #s(literal -3674162482993007/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
(if (<=.f64 d #s(literal -3674162482993007/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
(if (<=.f64 d #s(literal -3521072379534965/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 d #s(literal -3521072379534965/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

soundness2.2s (10.3%)

Memory

18.1MiB live, 2 177.7MiB allocated

Rules

9 240×	`lower-*.f64`
9 240×	`lower-*.f32`
8 682×	`lower-*.f64`
8 682×	`lower-*.f32`
7 446×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125
0	371	16234
1	1109	15688
2	3957	15573
0	8487	15243
0	91	475
0	146	431
1	449	381
2	3110	363
0	8395	363
0	82	398
0	137	367
1	408	331
2	2680	318
0	8787	318
0	428	19679
1	1280	18996
2	4609	18876
0	8101	18465
0	92	479
0	144	445
1	520	382
2	4145	375
0	8359	367
0	22	64
0	38	60
1	124	59
2	828	59
0	8726	58

Stop Event

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

Compiler

Compiled 7 116 to 2 628 computations (63.1% saved)

preprocess191.0ms (0.9%)

Memory: 37.7MiB live, 422.7MiB allocated
Compiler: Compiled 5 474 to 1 020 computations (81.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated