Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze469.0ms (2.8%)

Memory

-0.5MiB live, 710.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.3s (31.5%)

Memory

135.3MiB live, 7 020.1MiB allocated

Samples

2.2s	13 199×	0	invalid
1.6s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-div: 1.0s (34.5% of total)

ival-mult: 779.0ms (26.8% of total)

ival-pow: 684.0ms (23.6% of total)

ival-pow2: 287.0ms (9.9% of total)

ival-sub: 104.0ms (3.6% of total)

exact: 22.0ms (0.8% of total)

ival-true: 17.0ms (0.6% of total)

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

Bogosity

explain465.0ms (2.8%)

Memory

10.6MiB live, 485.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
65	-	3	(1.6824369415848582e-97 2.1155797129881346e+222 2.572252979977194e-259 1.2043811124777696e-135 5.5802511891545784e-213)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
57	-	0	-	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
44	-	1	(-8.32789328646126e-62 -2.771020212249345e-84 -5.808835230474201e+238 -2.708855937934822e-283 2.908487961490739e+276)	`(.f64 (.f64 (/.f64 #s(literal 1 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	-	2	(8.553374580744606e-215 6.587924071731292e-307 3.1471965498574562e+280 -2.199493044904053e-246 -3.0389338996756996e-65)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
24	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
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	35	0
↳	`(/.f64 d h)`	overflow	35
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	31	0
↳	`(/.f64 d l)`	overflow	31
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	27	0
↳	`(/.f64 d h)`	underflow	27
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	26	0
↳	`(/.f64 d l)`	underflow	26
`*.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**	13	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**	13	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	13	0
↳	`(*.f64 M D)`	overflow	35
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	11	0
↳	`(/.f64 d h)`	underflow	27
↳	`(/.f64 d l)`	underflow	26
↳	`(*.f64 (pow.f64 (/.f64 d 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	14
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	94
↳	`(.f64 (/.f64 #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	94
↳	`(/.f64 h l)`	overflow	35
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	93
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	93
↳	`(*.f64 M D)`	overflow	35
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	47
`*.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**	8	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	94
↳	`(.f64 (/.f64 #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	94
↳	`(*.f64 M D)`	overflow	35
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	47
↳	`(/.f64 h l)`	underflow	26
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	80
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	80
↳	`(*.f64 M D)`	underflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	39
↳	`(/.f64 h l)`	overflow	35
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	31

Confusion

	Predicted +	Predicted -
+	89	2
-	36	129

Precision

0.712

Recall

0.978021978021978

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	89	0	2
-	36	0	129

Precision?

0.712

Recall?

0.978021978021978

Freqs

test

number	freq
0	131
1	79
2	36
3	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

104.0ms

512×

valid

Compiler

Compiled 352 to 70 computations (80.1% saved)

Precisions

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

ival-div: 27.0ms (37.1% of total)

ival-pow: 20.0ms (27.5% of total)

ival-mult: 17.0ms (23.4% of total)

ival-pow2: 5.0ms (6.9% of total)

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

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

exact: 1.0ms (1.4% of total)

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

preprocess193.0ms (1.1%)

Memory

20.7MiB live, 136.3MiB 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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 40 to 22 computations (45% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

65.5%

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

Compiler

Compiled 40 to 22 computations (45% saved)

simplify442.0ms (2.6%)

Memory

-186.1MiB live, 102.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	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 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

localize70.0ms (0.4%)

Memory

19.4MiB live, 96.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	6.076137687093698	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	10.384072316266954	(.f64 (.f64 (/.f64 #s(literal 1 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	13.503215606790384	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.066801104858792	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

56.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

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

ival-div: 19.0ms (45.9% of total)

ival-pow: 10.0ms (24.1% of total)

ival-mult: 8.0ms (19.3% of total)

ival-pow2: 2.0ms (4.8% 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)

series80.0ms (0.5%)

Memory

-30.0MiB live, 90.0MiB 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 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 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())

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

Calls

15 calls:

Time	Variable		Point	Expression
13.0ms	h	@	inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
6.0ms	d	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	D	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
3.0ms	h	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
3.0ms	M	@	inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))

simplify154.0ms (0.9%)

Memory

44.1MiB live, 229.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 556×	`lower-*.f64`
7 556×	`lower-*.f32`
6 978×	`lower-fma.f64`
6 978×	`lower-fma.f32`
2 904×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	2502
1	172	2470
2	621	2470
3	3321	2470
4	5958	2470
5	7982	2470
0	8092	2425

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

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

rewrite192.0ms (1.1%)

Memory

-0.2MiB live, 246.6MiB allocated

Rules

6 482×	`lower-*.f32`
6 474×	`lower-*.f64`
3 790×	`lower-fma.f64`
3 790×	`lower-fma.f32`
3 188×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	50
0	34	48
1	114	48
2	719	48
3	7801	48
0	8835	47

Stop Event

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

Counts

6 → 393

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

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

eval79.0ms (0.5%)

Memory: 0.9MiB live, 190.7MiB allocated
Compiler: Compiled 24 173 to 1 950 computations (91.9% saved)

prune197.0ms (1.2%)

Memory

-28.8MiB live, 213.7MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	576	23	599
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	577	23	600

Accuracy

85.3%

Counts

600 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	59.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 M #s(literal 1/2 binary64)) D)) (.f64 (.f64 d (/.f64 d D)) (/.f64 #s(literal 2 binary64) M)))))
	57.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)) (*.f64 D M)))))
▶	71.7%	(.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 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	63.7%	(.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 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	65.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) 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 h l) #s(literal 1/2 binary64)) M) (.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M))))
	53.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 d d)) D) (.f64 (/.f64 (.f64 (.f64 M M) h) l) D)))))
	24.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d))))
▶	39.0%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	63.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.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))))
▶	33.2%	(.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))))
▶	35.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	65.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	65.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	35.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 l #s(literal -1/2 binary64)) (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))))
	33.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 d #s(literal 1/4 binary64)) (.f64 (pow.f64 l #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	33.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	65.5%	(.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))))
	37.7%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.8%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.3%	(.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))))
	36.8%	(.f64 (.f64 (.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Compiler

Compiled 1 848 to 1 112 computations (39.8% saved)

simplify158.0ms (0.9%)

Memory

0.2MiB live, 199.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 l #s(literal -1/2 binary64)) (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))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.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))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.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))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	6848	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))

Rules

7 678×	`lower-*.f32`
7 638×	`lower-*.f64`
2 456×	`lower-/.f32`
2 436×	`lower-/.f64`
2 398×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	681
0	110	660
1	193	648
2	518	640
3	3014	640
4	6639	640
0	8357	630

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

localize229.0ms (1.4%)

Memory

11.6MiB live, 282.5MiB allocated

Localize:

Found 20 expressions of interest:

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

Samples

147.0ms

256×

invalid

Compiler

Compiled 759 to 56 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 55.0ms (51.7% of total)

ival-pow: 18.0ms (16.9% of total)

ival-div: 17.0ms (16% of total)

ival-sqrt: 8.0ms (7.5% of total)

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

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

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

exact: 1.0ms (0.9% of total)

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

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

series140.0ms (0.8%)

Memory

15.8MiB live, 249.0MiB allocated

Counts

24 → 756

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	d	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (* (pow l -1/2) (sqrt d))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))
10.0ms	D	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (* (pow l -1/2) (sqrt d))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))
7.0ms	l	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (* (pow l -1/2) (sqrt d))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))
7.0ms	M	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (* (pow l -1/2) (sqrt d))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))
6.0ms	D	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (* (pow l -1/2) (sqrt d))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* 1/2 (* D 1/2)) (* D 1/2) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (/ 1/2 d) M) D) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (sqrt d) (sqrt l) (* 2 d) (* M D) (neg d) (neg l) (sqrt (neg d)) (sqrt (neg l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))

simplify191.0ms (1.1%)

Memory

24.2MiB live, 297.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 978×	`lower-*.f64`
6 978×	`lower-*.f32`
3 546×	`lower-/.f32`
3 546×	`lower-/.f64`
3 186×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	11144
1	487	10872
2	1680	10760
3	4051	10708
0	8325	10462

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

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

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

rewrite246.0ms (1.5%)

Memory

33.7MiB live, 448.6MiB allocated

Rules

4 914×	`lower-*.f32`
4 888×	`lower-*.f64`
3 842×	`lower-/.f32`
3 824×	`lower-/.f64`
1 770×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	251
0	102	235
1	276	222
2	1554	222
0	8540	216

Stop Event

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

Counts

24 → 1 248

Calls

Call 1

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

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

eval521.0ms (3.1%)

Memory: 36.1MiB live, 882.4MiB allocated
Compiler: Compiled 111 652 to 4 381 computations (96.1% saved)

prune473.0ms (2.8%)

Memory

-55.4MiB live, 872.4MiB allocated

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	3 029	36	3 065
Fresh	17	1	18
Picked	5	0	5
Done	0	0	0
Total	3 051	37	3 088

Accuracy

93.3%

Counts

3 088 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(/.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	28.1%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h)))) (sqrt.f64 l))
	17.4%	(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
	54.9%	(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	28.4%	(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
	54.9%	(.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)))
▶	72.4%	(.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	35.3%	(.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 l)) (.f64 (sqrt.f64 d) (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	18.1%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	16.1%	(.f64 (/.f64 (sqrt.f64 (.f64 d (/.f64 d l))) (sqrt.f64 h)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	30.8%	(.f64 (/.f64 (sqrt.f64 (.f64 d (/.f64 d h))) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	29.9%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	2.3%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	21.7%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (/.f64 h d) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	2.8%	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	66.2%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	66.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 d h))))))
	53.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 d d)) D) (.f64 (/.f64 (.f64 (.f64 M M) h) l) D)))))
	35.3%	(.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 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64)) l) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))))
	12.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d))))
	20.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64))))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	8.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	22.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	39.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	35.4%	(.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))))
	61.8%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	33.2%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	39.7%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	42.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	21.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	41.5%	#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 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	17.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	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 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	26.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 094 to 1 386 computations (33.8% saved)

simplify130.0ms (0.8%)

Memory

-12.0MiB live, 181.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
cost-diff	0	(.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))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	0	(/.f64 h l)
cost-diff	0	(.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))))
cost-diff	0	(/.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
cost-diff	320	(fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))
cost-diff	0	(sqrt.f64 d)
cost-diff	0	(/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))
cost-diff	0	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
cost-diff	0	(*.f64 l h)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
cost-diff	0	(.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
cost-diff	320	(.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64)))
cost-diff	448	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))
cost-diff	6848	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))

Rules

7 902×	`lower-*.f32`
7 860×	`lower-*.f64`
3 734×	`lower-fma.f32`
3 732×	`lower-fma.f64`
3 104×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	564
0	136	571
1	235	556
2	588	524
3	3153	524
4	7692	524
0	8164	515

Stop Event

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

Calls

Call 1

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

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

localize213.0ms (1.3%)

Memory

1.2MiB live, 437.7MiB allocated

Localize:

Found 20 expressions of interest:

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

Samples

145.0ms

256×

invalid

Compiler

Compiled 575 to 71 computations (87.7% saved)

Precisions

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

ival-mult: 41.0ms (37% of total)

ival-div: 30.0ms (27.1% of total)

ival-pow: 16.0ms (14.5% of total)

ival-sqrt: 13.0ms (11.7% of total)

ival-pow2: 6.0ms (5.4% of total)

ival-sub: 2.0ms (1.8% of total)

ival-add: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series187.0ms (1.1%)

Memory

7.0MiB live, 410.5MiB allocated

Counts

32 → 1 140

Calls

Call 1

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

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

15 calls:

Time	Variable		Point	Expression
23.0ms	d	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 1/2)) (* (/ (sqrt (/ d l)) (sqrt (/ h d))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (/ (sqrt d) (sqrt (* (neg h) (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt d) (sqrt (* (neg h) (/ l d)))) (sqrt d) (sqrt (* (neg h) (/ l d))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ l (* (/ d h) d)))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (/ h l) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (sqrt (/ d h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d h)) (/ (sqrt d) (sqrt l))) (sqrt (/ d l)) (sqrt (/ h d)) (* D 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg h) (sqrt (/ l (* (/ d h) d))) (* 1/4 (pow (* D (/ M d)) 2)) (* D (/ M d)) (* (/ d h) d) (sqrt l) (sqrt (/ d h)) (* 2 d))
21.0ms	D	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 1/2)) (* (/ (sqrt (/ d l)) (sqrt (/ h d))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (/ (sqrt d) (sqrt (* (neg h) (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt d) (sqrt (* (neg h) (/ l d)))) (sqrt d) (sqrt (* (neg h) (/ l d))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ l (* (/ d h) d)))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (/ h l) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (sqrt (/ d h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d h)) (/ (sqrt d) (sqrt l))) (sqrt (/ d l)) (sqrt (/ h d)) (* D 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg h) (sqrt (/ l (* (/ d h) d))) (* 1/4 (pow (* D (/ M d)) 2)) (* D (/ M d)) (* (/ d h) d) (sqrt l) (sqrt (/ d h)) (* 2 d))
10.0ms	d	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 1/2)) (* (/ (sqrt (/ d l)) (sqrt (/ h d))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (/ (sqrt d) (sqrt (* (neg h) (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt d) (sqrt (* (neg h) (/ l d)))) (sqrt d) (sqrt (* (neg h) (/ l d))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ l (* (/ d h) d)))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (/ h l) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (sqrt (/ d h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d h)) (/ (sqrt d) (sqrt l))) (sqrt (/ d l)) (sqrt (/ h d)) (* D 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg h) (sqrt (/ l (* (/ d h) d))) (* 1/4 (pow (* D (/ M d)) 2)) (* D (/ M d)) (* (/ d h) d) (sqrt l) (sqrt (/ d h)) (* 2 d))
8.0ms	d	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 1/2)) (* (/ (sqrt (/ d l)) (sqrt (/ h d))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (/ (sqrt d) (sqrt (* (neg h) (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt d) (sqrt (* (neg h) (/ l d)))) (sqrt d) (sqrt (* (neg h) (/ l d))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ l (* (/ d h) d)))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (/ h l) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (sqrt (/ d h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d h)) (/ (sqrt d) (sqrt l))) (sqrt (/ d l)) (sqrt (/ h d)) (* D 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg h) (sqrt (/ l (* (/ d h) d))) (* 1/4 (pow (* D (/ M d)) 2)) (* D (/ M d)) (* (/ d h) d) (sqrt l) (sqrt (/ d h)) (* 2 d))
8.0ms	h	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (* 1/2 (* D 1/2)) (* (/ (sqrt (/ d l)) (sqrt (/ h d))) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (/ (sqrt d) (sqrt (* (neg h) (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt d) (sqrt (* (neg h) (/ l d)))) (sqrt d) (sqrt (* (neg h) (/ l d))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ l (* (/ d h) d)))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (/ h l) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (sqrt (/ d h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d h)) (/ (sqrt d) (sqrt l))) (sqrt (/ d l)) (sqrt (/ h d)) (* D 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg h) (sqrt (/ l (* (/ d h) d))) (* 1/4 (pow (* D (/ M d)) 2)) (* D (/ M d)) (* (/ d h) d) (sqrt l) (sqrt (/ d h)) (* 2 d))

simplify203.0ms (1.2%)

Memory

9.5MiB live, 355.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 958×	`lower-*.f64`
7 958×	`lower-*.f32`
3 580×	`lower-fma.f64`
3 580×	`lower-fma.f32`
3 452×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	277	16632
1	812	16319
2	2859	16279
3	6957	16240
0	8341	15850

Stop Event

1×	iter limit
1×	node limit

Counts

1 140 → 1 140

Calls

Call 1

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

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

rewrite241.0ms (1.4%)

Memory

-3.7MiB live, 305.8MiB allocated

Rules

5 628×	`lower-*.f32`
5 588×	`lower-*.f64`
3 298×	`lower-/.f32`
3 266×	`lower-/.f64`
1 870×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	363
0	136	388
1	411	326
2	2875	299
0	8662	290

Stop Event

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

Counts

32 → 1 169

Calls

Call 1

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

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

eval384.0ms (2.3%)

Memory: 39.9MiB live, 589.1MiB allocated
Compiler: Compiled 66 868 to 3 067 computations (95.4% saved)

prune285.0ms (1.7%)

Memory

-9.1MiB live, 587.4MiB allocated

Pruning

47 alts after pruning (46 fresh and 1 done)

	Pruned	Kept	Total
New	2 334	38	2 372
Fresh	24	8	32
Picked	4	1	5
Done	0	0	0
Total	2 362	47	2 409

Accuracy

94.1%

Counts

2 409 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
▶	52.1%	(/.f64 (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	38.5%	(/.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 M D)) (.f64 d (.f64 #s(literal 2 binary64) d)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	36.5%	(/.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (sqrt (/ l ( (/ d h) d))) (/.f64 (sqrt.f64 (*.f64 l h)) (neg.f64 d))))
	50.8%	(/.f64 (fma.f64 (.f64 (/.f64 D l) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	49.2%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 (/.f64 M d) D)) (.f64 (/.f64 M d) D)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	38.8%	(/.f64 (fma.f64 #s(approx (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (.f64 D D) d) d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	39.2%	(/.f64 (.f64 (fma.f64 (.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l))
	17.4%	(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
	6.7%	(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 (/.f64 l d) (neg.f64 h)) d)))
	39.6%	(/.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
	20.2%	(/.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h))) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
▶	35.3%	(.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
▶	72.1%	(.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (fma.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)))
	70.6%	(.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 #s(literal 1/4 binary64) D)) (.f64 (/.f64 M d) h) #s(literal 1 binary64)))
	67.6%	(.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 M (*.f64 #s(literal 1/4 binary64) D)) h) d))))
	67.0%	(.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (/.f64 d h)))))
	25.8%	(.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) #s(approx (- 1 ( (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))))
	30.8%	(.f64 (/.f64 (sqrt.f64 (.f64 d (/.f64 d h))) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	29.9%	(.f64 (/.f64 (sqrt.f64 (.f64 d d)) (sqrt.f64 (.f64 h l))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	66.2%	(.f64 (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	35.3%	(.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 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64)) l) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))))
	12.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))))
	33.2%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	39.7%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	42.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	41.5%	#s(approx (/ (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ l (* (/ d h) d)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	17.3%	#s(approx (/ (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ l (* (/ d h) d)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	27.3%	#s(approx (/ (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ l (* (/ d h) d)))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	16.3%	#s(approx (/ (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ l (* (/ d h) d)))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	26.4%	#s(approx (/ (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ l (* (/ d h) d)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	2.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l))))
	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
	18.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
▶	19.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 (/.f64 h d) (neg.f64 l)))))
▶	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
	2.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	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 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	39.0%	#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 d l)) (sqrt.f64 (/.f64 d 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	21.4%	#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 d) (sqrt.f64 (/.f64 (/.f64 d 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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	28.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))

Compiler

Compiled 2 420 to 1 596 computations (34% saved)

simplify135.0ms (0.8%)

Memory

29.6MiB live, 207.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 856×	`lower-*.f32`
8 828×	`lower-*.f64`
3 792×	`lower-fma.f32`
3 786×	`lower-fma.f64`
2 306×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	485
0	108	481
1	217	481
2	626	472
3	3781	472
0	8222	470

Stop Event

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

Calls

Call 1

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

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

localize204.0ms (1.2%)

Memory

-29.3MiB live, 357.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.978348008502032	(*.f64 (/.f64 M d) D)
accuracy	2.9620741798337873	(.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
accuracy	4.125818557379643	(fma.f64 (.f64 (pow.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64))
accuracy	6.95489291715327	(sqrt.f64 (*.f64 l h))
accuracy	2.4110288870409815	(/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l)
accuracy	3.17483975841633	(/.f64 (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
accuracy	3.77799764521021	(/.f64 l (*.f64 (/.f64 d h) d))
accuracy	11.271561057802035	(sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d)))
accuracy	0.18359375	(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 (/.f64 h d) (neg.f64 l))))
accuracy	1.6012857103090958	(*.f64 (/.f64 h d) (neg.f64 l))
accuracy	7.429360514589818	(sqrt.f64 (*.f64 (/.f64 h d) (neg.f64 l)))
accuracy	16.80487522848364	#s(approx (* (* (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 d) (neg.f64 l)))))
accuracy	0	(*.f64 l h)
accuracy	0.1171875	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	6.95489291715327	(sqrt.f64 (*.f64 l h))
accuracy	30.943639203990884	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	2.4110288870409815	(/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l)
accuracy	3.13968350841633	(.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (fma.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)))
accuracy	6.869417374811405	(sqrt.f64 (/.f64 d l))
accuracy	7.576809567415313	(sqrt.f64 (/.f64 h d))

Samples

84.0ms	131×	0	valid
71.0ms	125×	0	invalid

Compiler

Compiled 486 to 66 computations (86.4% saved)

Precisions

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

ival-mult: 61.0ms (50.3% of total)

ival-div: 22.0ms (18.1% of total)

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

ival-sqrt: 10.0ms (8.2% of total)

ival-pow2: 7.0ms (5.8% of total)

ival-add: 4.0ms (3.3% of total)

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

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

exact: 1.0ms (0.8% of total)

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

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

series136.0ms (0.8%)

Memory

-11.1MiB live, 307.9MiB allocated

Counts

26 → 1 032

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	d	@	0	((* (neg D) (* (/ 1/2 d) M)) (* (/ (sqrt (/ d l)) (sqrt (/ h d))) (+ (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (* (/ M d) h) (* 1/4 D))) 1)) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (neg d)) (sqrt (* (/ h d) (neg l)))) (sqrt (neg d)) (neg d) (/ (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ l (* (/ d h) d)))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) (* (+ (* (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (/ d (sqrt (* l h)))) (+ (* (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (* (pow (* (/ M d) D) 2) -1/8) (pow (* (/ M d) D) 2) (sqrt (/ h d)) (/ (* (neg D) (* (/ 1/2 d) M)) l) (sqrt (* (/ h d) (neg l))) (* (/ h d) (neg l)) (sqrt (/ l (* (/ d h) d))) (/ l (* (/ d h) d)) (* (/ M d) D))
6.0ms	d	@	inf	((* (neg D) (* (/ 1/2 d) M)) (* (/ (sqrt (/ d l)) (sqrt (/ h d))) (+ (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (* (/ M d) h) (* 1/4 D))) 1)) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (neg d)) (sqrt (* (/ h d) (neg l)))) (sqrt (neg d)) (neg d) (/ (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ l (* (/ d h) d)))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) (* (+ (* (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (/ d (sqrt (* l h)))) (+ (* (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (* (pow (* (/ M d) D) 2) -1/8) (pow (* (/ M d) D) 2) (sqrt (/ h d)) (/ (* (neg D) (* (/ 1/2 d) M)) l) (sqrt (* (/ h d) (neg l))) (* (/ h d) (neg l)) (sqrt (/ l (* (/ d h) d))) (/ l (* (/ d h) d)) (* (/ M d) D))
6.0ms	l	@	-inf	((* (neg D) (* (/ 1/2 d) M)) (* (/ (sqrt (/ d l)) (sqrt (/ h d))) (+ (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (* (/ M d) h) (* 1/4 D))) 1)) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (neg d)) (sqrt (* (/ h d) (neg l)))) (sqrt (neg d)) (neg d) (/ (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ l (* (/ d h) d)))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) (* (+ (* (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (/ d (sqrt (* l h)))) (+ (* (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (* (pow (* (/ M d) D) 2) -1/8) (pow (* (/ M d) D) 2) (sqrt (/ h d)) (/ (* (neg D) (* (/ 1/2 d) M)) l) (sqrt (* (/ h d) (neg l))) (* (/ h d) (neg l)) (sqrt (/ l (* (/ d h) d))) (/ l (* (/ d h) d)) (* (/ M d) D))
6.0ms	d	@	-inf	((* (neg D) (* (/ 1/2 d) M)) (* (/ (sqrt (/ d l)) (sqrt (/ h d))) (+ (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (* (/ M d) h) (* 1/4 D))) 1)) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (neg d)) (sqrt (* (/ h d) (neg l)))) (sqrt (neg d)) (neg d) (/ (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ l (* (/ d h) d)))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) (* (+ (* (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (/ d (sqrt (* l h)))) (+ (* (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (* (pow (* (/ M d) D) 2) -1/8) (pow (* (/ M d) D) 2) (sqrt (/ h d)) (/ (* (neg D) (* (/ 1/2 d) M)) l) (sqrt (* (/ h d) (neg l))) (* (/ h d) (neg l)) (sqrt (/ l (* (/ d h) d))) (/ l (* (/ d h) d)) (* (/ M d) D))
6.0ms	l	@	inf	((* (neg D) (* (/ 1/2 d) M)) (* (/ (sqrt (/ d l)) (sqrt (/ h d))) (+ (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (* (/ M d) h) (* 1/4 D))) 1)) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (neg d)) (sqrt (* (/ h d) (neg l)))) (sqrt (neg d)) (neg d) (/ (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ l (* (/ d h) d)))) (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) (* (+ (* (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (/ d (sqrt (* l h)))) (+ (* (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (* (pow (* (/ M d) D) 2) -1/8) (pow (* (/ M d) D) 2) (sqrt (/ h d)) (/ (* (neg D) (* (/ 1/2 d) M)) l) (sqrt (* (/ h d) (neg l))) (* (/ h d) (neg l)) (sqrt (/ l (* (/ d h) d))) (/ l (* (/ d h) d)) (* (/ M d) D))

simplify283.0ms (1.7%)

Memory

11.3MiB live, 204.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 378×	`lower-*.f64`
5 378×	`lower-*.f32`
4 634×	`lower-fma.f64`
4 634×	`lower-fma.f32`
3 438×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	14608
1	538	14287
2	1871	14249
3	4149	14196
4	7656	14196
0	8295	13902

Stop Event

1×	iter limit
1×	node limit

Counts

1 032 → 1 032

Calls

Call 1

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

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

rewrite392.0ms (2.3%)

Memory

-6.2MiB live, 310.9MiB allocated

Rules

6 066×	`lower-*.f32`
6 038×	`lower-*.f64`
3 192×	`lower-/.f32`
3 168×	`lower-/.f64`
3 064×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	325
0	108	315
1	380	311
2	2861	304
0	8527	302

Stop Event

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

Counts

26 → 1 814

Calls

Call 1

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

Outputs
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) #s(literal -1 binary64)) D)
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) (neg.f64 D)) M)
(.f64 #s(literal -1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 (neg.f64 M) D))
(.f64 (.f64 (neg.f64 M) D) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (neg.f64 D))
(.f64 M (.f64 (/.f64 #s(literal 1/2 binary64) d) (neg.f64 D)))
(.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(.f64 D (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M)))
(/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (neg.f64 D)) d)
(/.f64 (.f64 (neg.f64 D) (.f64 M #s(literal 1/2 binary64))) d)
(neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (/.f64 (neg.f64 D) l))) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (/.f64 (neg.f64 D) l))) D) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (/.f64 (neg.f64 D) l))) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l))))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 h)) (sqrt.f64 d))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) (sqrt.f64 l)) (/.f64 (fabs.f64 d) (sqrt.f64 h)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l)))))
(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (pow.f64 (pow.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 h d)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 d l))) (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)))) (sqrt.f64 (neg.f64 l)) (.f64 (neg.f64 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 (neg.f64 d) (/.f64 h d))))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 l) (/.f64 h d)))))
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(/.f64 (sqrt.f64 h) (sqrt.f64 (*.f64 (/.f64 d l) d)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (*.f64 (/.f64 d h) d) l))))
(/.f64 (sqrt.f64 (neg.f64 l)) (/.f64 (fabs.f64 d) (sqrt.f64 (neg.f64 h))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 h d))) (neg.f64 (sqrt.f64 (/.f64 d l))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (neg.f64 l) (/.f64 h d)))) (neg.f64 (sqrt.f64 (neg.f64 d))))
(/.f64 (sqrt.f64 l) (/.f64 (fabs.f64 d) (sqrt.f64 h)))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 l) (/.f64 h d))) (sqrt.f64 (neg.f64 d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (*.f64 (/.f64 d h) d) l) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
(/.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (/.f64 (/.f64 h d) (/.f64 d l)))
(sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d)))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (neg.f64 l) (/.f64 h d))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (.f64 (/.f64 d h) d) l)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 l (.f64 (/.f64 d h) d))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 d) (.f64 (neg.f64 l) h)) #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 d l) (neg.f64 h)) #s(literal -1 binary64)) (pow.f64 (neg.f64 d) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 d l) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 h d))
(*.f64 (pow.f64 (/.f64 (/.f64 d l) h) #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 h d)) #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 l)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 l #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 h d) d))
(.f64 (/.f64 l (.f64 d d)) h)
(.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (neg.f64 l) (/.f64 h d)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 l d) h) (pow.f64 d #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 d (.f64 (neg.f64 l) (/.f64 h d))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 l (.f64 (/.f64 d h) (neg.f64 d))))
(*.f64 (/.f64 (/.f64 h d) d) (pow.f64 (pow.f64 l #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 h d) d) l)
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) (/.f64 h d)) #s(literal -1 binary64)))
(.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 h (/.f64 l d)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 (/.f64 l d) h))
(*.f64 (/.f64 l d) (/.f64 h d))
(.f64 (neg.f64 l) (pow.f64 (.f64 (/.f64 d h) (neg.f64 d)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 l (.f64 (/.f64 d h) d)))
(*.f64 (/.f64 h d) (pow.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 h d) (/.f64 l d))
(*.f64 l (/.f64 (/.f64 h d) d))
(pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 d h) d) l) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 d h) d) l) #s(literal -1 binary64))
(/.f64 (.f64 l #s(literal 1 binary64)) (.f64 (/.f64 d h) d))
(/.f64 (neg.f64 (neg.f64 l)) (neg.f64 (*.f64 (/.f64 d h) (neg.f64 d))))
(/.f64 (*.f64 (/.f64 l d) h) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
(/.f64 (/.f64 l d) (/.f64 d h))
(/.f64 (*.f64 (neg.f64 l) (/.f64 h d)) (neg.f64 d))
(/.f64 (neg.f64 l) (*.f64 (/.f64 d h) (neg.f64 d)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (/.f64 d h) d) l) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d h) d) l))
(/.f64 l (*.f64 (/.f64 d h) d))
(neg.f64 (/.f64 (neg.f64 l) (*.f64 (/.f64 d h) d)))
(neg.f64 (/.f64 l (*.f64 (/.f64 d h) (neg.f64 d))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 d h) (neg.f64 d))) (/.f64 l (.f64 (/.f64 d h) (neg.f64 d))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (/.f64 d h) d) l)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 D)) (exp.f64 (log.f64 (/.f64 M d))))
(*.f64 (exp.f64 (log.f64 (/.f64 M d))) (exp.f64 (log.f64 D)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 M d) D)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 M d) D)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 (/.f64 M d) D)) (sqrt.f64 (*.f64 (/.f64 M d) D)))
(.f64 (.f64 M D) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 M D) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (/.f64 M d) D)
(.f64 M (pow.f64 (.f64 (pow.f64 d #s(literal -1 binary64)) D) #s(literal 1 binary64)))
(.f64 M (.f64 (pow.f64 d #s(literal -1 binary64)) D))
(*.f64 M (/.f64 D d))
(*.f64 D (/.f64 M d))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 M d) D)) #s(literal 2 binary64))
(pow.f64 (/.f64 d (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M d) D) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 M D))) (exp.f64 (log.f64 d)))
(/.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 d M))
(/.f64 (*.f64 D #s(literal 1 binary64)) (/.f64 d M))
(/.f64 (*.f64 (neg.f64 M) D) (neg.f64 d))
(/.f64 (*.f64 M D) d)
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M D)))
(/.f64 D (/.f64 d M))
(exp.f64 (log.f64 (*.f64 (/.f64 M d) D)))

eval616.0ms (3.6%)

Memory: 31.6MiB live, 538.6MiB allocated
Compiler: Compiled 108 842 to 3 920 computations (96.4% saved)

prune457.0ms (2.7%)

Memory

-24.2MiB live, 701.2MiB allocated

Pruning

52 alts after pruning (50 fresh and 2 done)

	Pruned	Kept	Total
New	3 049	37	3 086
Fresh	28	13	41
Picked	4	1	5
Done	0	1	1
Total	3 081	52	3 133

Accuracy

97.0%

Counts

3 133 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.7%	(fma.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (/.f64 (neg.f64 D) l)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	62.2%	(fma.f64 (.f64 (.f64 (/.f64 M d) h) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (/.f64 (neg.f64 D) l))) (.f64 (.f64 #s(literal 1/4 binary64) D) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	47.0%	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 (neg.f64 M) D)) (.f64 (.f64 M D) #s(literal 1/4 binary64))) (.f64 l d)) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
	37.4%	(/.f64 (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 (/.f64 l d) h)) (sqrt.f64 d)))
	41.6%	(/.f64 (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (/.f64 (sqrt.f64 l) (/.f64 (fabs.f64 d) (sqrt.f64 h))))
	72.0%	(/.f64 (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (/.f64 l d))))
	42.4%	(/.f64 (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) #s(approx (sqrt (/ l ( (/ d h) d))) (/.f64 (sqrt.f64 (*.f64 l h)) (neg.f64 d))))
	39.0%	(/.f64 (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) #s(approx (sqrt (/ l ( (/ d h) d))) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	23.2%	(/.f64 (fma.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 (neg.f64 M) D)) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 M d) h))) D)) (sqrt.f64 (neg.f64 l)) (.f64 l (sqrt.f64 (/.f64 (neg.f64 d) (/.f64 h d))))) (.f64 l (sqrt.f64 (neg.f64 l))))
	51.3%	(/.f64 (fma.f64 (.f64 (/.f64 #s(approx ( (neg D) (* (/ 1/2 d) M)) (.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64))) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
	38.5%	(/.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 M D)) (.f64 d (.f64 #s(literal 2 binary64) d)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	50.8%	(/.f64 (fma.f64 (.f64 (/.f64 D l) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	12.7%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 (neg.f64 M) D)) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 M d) h))) D) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 l)) (.f64 (.f64 l (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d)))) (sqrt.f64 (/.f64 (neg.f64 d) (/.f64 h d))))) (.f64 (.f64 l (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d)))) (sqrt.f64 (neg.f64 l))))
	52.4%	(/.f64 (fma.f64 (neg.f64 D) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	38.7%	(/.f64 (fma.f64 #s(approx (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 l d)) (/.f64 (.f64 D D) d))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	38.8%	(/.f64 (fma.f64 #s(approx (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (.f64 D D) d) d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (.f64 (/.f64 d h) d))))
	38.8%	(/.f64 (/.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 l)) (sqrt.f64 h))
	68.4%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	17.4%	(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 l))
	6.7%	(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 (/.f64 l d) (neg.f64 h)) d)))
	39.4%	(/.f64 #s(approx (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (.f64 D D) d) l) l)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
	28.5%	(/.f64 #s(approx (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) l)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
	36.4%	(.f64 (fma.f64 (.f64 (/.f64 M d) D) (.f64 (.f64 (/.f64 M d) D) (.f64 (/.f64 h l) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	77.7%	(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	33.9%	(.f64 (fma.f64 (.f64 #s(approx (pow (* (/ M d) D) 2) (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D d))) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	41.1%	(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) (sqrt.f64 l)) (/.f64 (fabs.f64 d) (sqrt.f64 h)))
	42.2%	(.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)) (fma.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)))
	38.4%	(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M d) h) D) #s(literal 1/4 binary64)) (neg.f64 D)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 M l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 h)) (sqrt.f64 d))
	70.6%	(.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 #s(literal 1/4 binary64) D)) (.f64 (/.f64 M d) h) #s(literal 1 binary64)))
	79.6%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (fma.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)))
	52.8%	(.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 d h) d) l)) (fma.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)))
	33.2%	(.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	39.4%	(.f64 #s(approx (/ (sqrt (/ d l)) (sqrt (/ h d))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (fma.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)))
	42.4%	(.f64 #s(approx (/ (sqrt (/ d l)) (sqrt (/ h d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (fma.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)))
	21.7%	(.f64 #s(approx (+ ( (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) l)) (.f64 d d)) (.f64 d d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	15.1%	(.f64 #s(approx (+ ( (* (pow (* (/ M d) D) 2) -1/8) (/ h l)) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
	39.7%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	41.5%	#s(approx (/ (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ l (* (/ d h) d)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	26.4%	#s(approx (/ (+ (* (* (/ (* (neg D) (* (/ 1/2 d) M)) l) (* (/ M d) (* 1/4 D))) h) 1) (sqrt (/ l (* (/ d h) d)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	23.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l))))
	2.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l))))
	23.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	18.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	42.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	20.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 (neg.f64 d) (.f64 (neg.f64 l) h))) (sqrt.f64 d)))
	39.0%	#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 d l)) (sqrt.f64 (/.f64 d 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	28.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))

Compiler

Compiled 4 955 to 1 494 computations (69.8% saved)

regimes311.0ms (1.8%)

Memory

17.2MiB live, 565.8MiB allocated

Counts

135 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

55.0ms	(*.f64 M D)
44.0ms	h
40.0ms	(.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))))
40.0ms	d
40.0ms	D

Results

Accuracy	Segments	Branch
89.3%	5	`d`
83.4%	2	`h`
85.4%	3	`l`
79.6%	1	`M`
79.6%	1	`D`
85.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
79.6%	1	`(*.f64 M D)`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes37.0ms (0.2%)

Memory

7.8MiB live, 80.7MiB allocated

Counts

106 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

28.0ms

(*.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
85.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes22.0ms (0.1%)

Memory

14.6MiB live, 51.4MiB allocated

Counts

66 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

18.0ms

(*.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
85.3%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes28.0ms (0.2%)

Memory

11.2MiB live, 50.7MiB allocated

Counts

64 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

24.0ms

(*.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
86.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes21.0ms (0.1%)

Memory

6.2MiB live, 42.9MiB allocated

Counts

63 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

18.0ms

(*.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
86.7%	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 40 to 22 computations (45% saved)

regimes82.0ms (0.5%)

Memory

-7.8MiB live, 145.8MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

16.0ms	M
12.0ms	D
11.0ms	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))))
10.0ms	h

Results

Accuracy	Segments	Branch
48.4%	2	`D`
51.8%	2	`(*.f64 M D)`
49.5%	2	`M`
58.5%	2	`h`
58.5%	2	`l`
58.5%	2	`d`
61.4%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes362.0ms (2.1%)

Memory

-56.2MiB live, 88.6MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

329.0ms	d
10.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
10.0ms	l
9.0ms	h

Results

Accuracy	Segments	Branch
57.9%	3	`l`
55.7%	2	`d`
55.7%	2	`h`
59.7%	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 58 to 37 computations (36.2% saved)

regimes55.0ms (0.3%)

Memory

17.3MiB live, 129.0MiB allocated

Counts

33 → 4

Calls

Call 1

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

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

Calls

4 calls:

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))))
15.0ms	l
12.0ms	h
10.0ms	d

Results

Accuracy	Segments	Branch
56.1%	4	`d`
48.2%	2	`h`
52.9%	3	`l`
58.2%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes50.0ms (0.3%)

Memory

-11.8MiB live, 107.6MiB allocated

Counts

31 → 4

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	d
10.0ms	l
9.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
9.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
48.2%	2	`l`
45.7%	2	`(*.f64 M D)`
48.2%	2	`d`
54.3%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes8.0ms (0%)

Memory

-19.8MiB live, 19.5MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 40 to 22 computations (45% saved)

regimes36.0ms (0.2%)

Memory

15.1MiB live, 96.0MiB allocated

Counts

17 → 4

Calls

Call 1

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

Calls

6 calls:

7.0ms	l
6.0ms	D
6.0ms	h
5.0ms	d
5.0ms	M

Results

Accuracy	Segments	Branch
46.8%	2	`d`
46.8%	2	`l`
46.3%	2	`h`
44.6%	2	`D`
44.1%	2	`M`
50.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 70 to 47 computations (32.9% saved)

regimes10.0ms (0.1%)

Memory

-17.8MiB live, 21.5MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
46.8%	2	`l`
45.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes5.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
46.8%	2	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes13.0ms (0.1%)

Memory

-9.8MiB live, 29.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
45.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
42.3%	1	`h`
42.3%	1	`d`
42.3%	1	`l`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes5.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

2.0ms

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

2.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
42.3%	1	`(*.f64 M D)`
45.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 48 to 28 computations (41.7% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
44.7%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes11.0ms (0.1%)

Memory

-11.5MiB live, 27.8MiB 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 l h))))

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

Calls

7 calls:

2.0ms	(*.f64 M D)
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	d
1.0ms	D
1.0ms	l

Results

Accuracy	Segments	Branch
25.5%	1	`d`
25.5%	1	`(*.f64 M D)`
25.5%	1	`l`
25.5%	1	`h`
25.5%	1	`M`
25.5%	1	`D`
25.5%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.9723200588799874e+132	2.64684841070665e+133

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.9723200588799874e+132	2.64684841070665e+133

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.9723200588799874e+132	2.64684841070665e+133

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.9723200588799874e+132	2.64684841070665e+133
0.0ms	0.0	6.444104871374623e-272

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.9723200588799874e+132	2.64684841070665e+133
0.0ms	0.0	6.444104871374623e-272

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.9723200588799874e+132	2.64684841070665e+133
0.0ms	0.0	6.444104871374623e-272

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.9723200588799874e+132	2.64684841070665e+133
0.0ms	0.0	6.444104871374623e-272

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.9723200588799874e+132	2.64684841070665e+133
0.0ms	0.0	6.444104871374623e-272
0.0ms	-3.205448974789767e-45	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.9723200588799874e+132	2.64684841070665e+133
0.0ms	0.0	6.444104871374623e-272
0.0ms	-8.212544725709094e+206	-2.0040074526164125e+187

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.9723200588799874e+132	2.64684841070665e+133
0.0ms	0.0	6.444104871374623e-272

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.9723200588799874e+132	2.64684841070665e+133
0.0ms	5.110459168944418e-155	2.480749163408885e-152
0.0ms	-3.205448974789767e-45	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch62.0ms (0.4%)

Memory

-2.8MiB live, 114.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
55.0ms	3.109567933787643e-266	2.572252979977194e-259

Samples

25.0ms	144×	0	valid
21.0ms	139×	0	invalid

Compiler

Compiled 313 to 228 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 11.0ms (31.3% of total)

ival-mult: 11.0ms (31.3% of total)

ival-pow: 9.0ms (25.6% of total)

ival-pow2: 3.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.109567933787643e-266	2.572252979977194e-259

Compiler

Compiled 313 to 228 computations (27.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.205448974789767e-45	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1553772835822069e+57	-3.2573468016732376e-19

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1553772835822069e+57	-3.2573468016732376e-19

Compiler

Compiled 43 to 30 computations (30.2% saved)

simplify55.0ms (0.3%)

Memory

-43.0MiB live, 107.5MiB allocated

Algorithm

1×	egg-herbie

Rules

164×	`-commutative-binary64-.f64`
72×	`neg-sub0-binary64--.f64-neg.f64`
72×	`neg-mul-1-binary64-*.f64-neg.f64`
72×	`sub-neg-binary64-neg.f64-+.f64--.f64`
70×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	2501
1	247	2501
2	301	2501
3	364	2501
4	424	2501
5	477	2501
6	502	2501
7	511	2501
8	513	2501

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 5000000000000000111755861797384299667549204650486879780239418214450132430121171797988101755921550297505076285418812476851459272474624 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (fma.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64))))
(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 5000000000000000111755861797384299667549204650486879780239418214450132430121171797988101755921550297505076285418812476851459272474624 binary64)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (/.f64 l d)))) (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) (fma.f64 (/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64))))
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Outputs
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(if (<=.f64 l #s(literal 2396072166980803/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (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)))))
(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 -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 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 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (.f64 (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))))) #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (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 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
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(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -1000000000000000048346692115553659057528394845890514255872 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (.f64 (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))))) #s(literal -1000000000000000048346692115553659057528394845890514255872 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

soundness2.0s (11.9%)

Memory

28.2MiB live, 1 604.7MiB allocated

Rules

7 556×	`lower-*.f64`
7 556×	`lower-*.f32`
6 978×	`lower-*.f64`
6 978×	`lower-*.f32`
6 978×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	363
0	136	388
1	411	326
2	2875	299
0	8662	290
0	60	251
0	102	235
1	276	222
2	1554	222
0	8540	216
0	62	2502
1	172	2470
2	621	2470
3	3321	2470
4	5958	2470
5	7982	2470
0	8092	2425
0	20	50
0	34	48
1	114	48
2	719	48
3	7801	48
0	8835	47
0	185	14608
1	538	14287
2	1871	14249
3	4149	14196
4	7656	14196
0	8295	13902
0	174	11144
1	487	10872
2	1680	10760
3	4051	10708
0	8325	10462
0	66	325
0	108	315
1	380	311
2	2861	304
0	8527	302

Stop Event

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

Compiler

Compiled 4 953 to 2 119 computations (57.2% saved)

preprocess219.0ms (1.3%)

Memory: 7.1MiB live, 233.5MiB allocated
Compiler: Compiled 4 376 to 666 computations (84.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze469.0ms (2.8%)

sample5.3s (31.5%)

explain465.0ms (2.8%)

preprocess193.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify442.0ms (2.6%)

localize70.0ms (0.4%)

series80.0ms (0.5%)

simplify154.0ms (0.9%)

rewrite192.0ms (1.1%)

eval79.0ms (0.5%)

prune197.0ms (1.2%)

simplify158.0ms (0.9%)

localize229.0ms (1.4%)

series140.0ms (0.8%)

simplify191.0ms (1.1%)

rewrite246.0ms (1.5%)

eval521.0ms (3.1%)

prune473.0ms (2.8%)

simplify130.0ms (0.8%)

localize213.0ms (1.3%)

series187.0ms (1.1%)

simplify203.0ms (1.2%)

rewrite241.0ms (1.4%)

eval384.0ms (2.3%)

prune285.0ms (1.7%)

simplify135.0ms (0.8%)

localize204.0ms (1.2%)

series136.0ms (0.8%)

simplify283.0ms (1.7%)

rewrite392.0ms (2.3%)

eval616.0ms (3.6%)

prune457.0ms (2.7%)

regimes311.0ms (1.8%)

regimes37.0ms (0.2%)

regimes22.0ms (0.1%)

regimes28.0ms (0.2%)

regimes21.0ms (0.1%)

regimes82.0ms (0.5%)

regimes362.0ms (2.1%)

regimes55.0ms (0.3%)

regimes50.0ms (0.3%)

regimes8.0ms (0%)

regimes36.0ms (0.2%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes13.0ms (0.1%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes11.0ms (0.1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch62.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify55.0ms (0.3%)

soundness2.0s (11.9%)

preprocess219.0ms (1.3%)

end0.0ms (0%)

Profiling