Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze439.0ms (1.9%)

Memory

-48.4MiB live, 470.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample6.2s (27.2%)

Memory

41.7MiB live, 6 295.2MiB allocated

Samples

2.3s	13 108×	0	invalid
2.2s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-div: 1.0s (32.7% of total)

ival-mult: 881.0ms (28.5% of total)

ival-pow: 663.0ms (21.4% of total)

ival-pow2: 347.0ms (11.2% of total)

ival-sub: 143.0ms (4.6% of total)

exact: 22.0ms (0.7% of total)

ival-true: 18.0ms (0.6% of total)

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

Bogosity

explain531.0ms (2.3%)

Memory

3.0MiB live, 443.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	2	(4.112264235326792e-100 3.3090816980339966e+221 4.876364696113556e-21 -3.032375313054846e-153 8.422328614742519e+84)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
54	-	0	-	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
41	-	3	(1.2549197373002346e+153 2.158622904363684e+288 1.8511884261020342e+217 2.7120710730618456e+286 2.5638259388648147e-288)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
23	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
23	-	0	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	38	0
↳	`(/.f64 d h)`	overflow	38
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	29	0
↳	`(/.f64 d l)`	overflow	29
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	25	0
↳	`(/.f64 d l)`	underflow	25
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	24	0
↳	`(/.f64 d h)`	underflow	24
`*.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**	11	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	10	0
↳	`(/.f64 d h)`	underflow	24
↳	`(/.f64 d l)`	underflow	25
↳	`(*.f64 (pow.f64 (/.f64 d 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	15
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	73
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	73
↳	`(/.f64 h l)`	overflow	25
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	74
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	74
↳	`(*.f64 M D)`	overflow	30
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	33
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	9	0
↳	`(*.f64 M D)`	overflow	30
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	7	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	73
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	73
↳	`(*.f64 M D)`	overflow	30
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	33
↳	`(/.f64 h l)`	underflow	27
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	2	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	82
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	82
↳	`(*.f64 M D)`	underflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	40
↳	`(/.f64 h l)`	overflow	25
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	31

Confusion

	Predicted +	Predicted -
+	77	10
-	36	133

Precision

0.6814159292035398

Recall

0.8850574712643678

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	77	0	10
-	36	0	133

Precision?

0.6814159292035398

Recall?

0.8850574712643678

Freqs

test

number	freq
0	143
1	73
2	32
3	7
4	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

92.0ms

512×

valid

Compiler

Compiled 352 to 70 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-pow: 20.0ms (31% of total)

ival-div: 18.0ms (27.9% of total)

ival-mult: 17.0ms (26.4% of total)

ival-pow2: 5.0ms (7.8% of total)

ival-sub: 3.0ms (4.7% of total)

ival-true: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

preprocess194.0ms (0.8%)

Memory

5.8MiB live, 201.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 300×	`lower-*.f32`
3 294×	`lower-*.f64`
1 711×	`lower-/.f32`
1 707×	`lower-/.f64`
1 122×	`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) h) (/.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

67.3%

(*.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)

simplify175.0ms (0.8%)

Memory

13.0MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

3 300×	`lower-*.f32`
3 294×	`lower-*.f64`
1 711×	`lower-/.f32`
1 707×	`lower-/.f64`
1 122×	`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) h) (/.f64 (.f64 (.f64 D D) (.f64 M M)) (.f64 l (.f64 (*.f64 d d) #s(literal 4 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) h) (/.f64 (.f64 (.f64 D D) (.f64 M M)) (.f64 l (.f64 (*.f64 d d) #s(literal 4 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 #s(literal 1/2 binary64) h) (/.f64 (.f64 (.f64 D D) (.f64 M M)) (.f64 l (.f64 (.f64 d d) #s(literal 4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 M M) #s(literal 1/2 binary64)) (.f64 D (/.f64 D (.f64 (.f64 d d) #s(literal 4 binary64)))))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 D M) D) (/.f64 M (.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

localize123.0ms (0.5%)

Memory

-26.1MiB live, 168.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.5620603407021445	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	9.184112654475928	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	12.784629619288745	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	14.915182834453923	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

99.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-pow: 46.0ms (58.1% of total)

ival-div: 21.0ms (26.5% of total)

ival-mult: 9.0ms (11.4% of total)

ival-pow2: 3.0ms (3.8% of total)

ival-sub: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series65.0ms (0.3%)

Memory

-9.8MiB live, 143.8MiB allocated

Counts

6 → 204

Calls

Call 1

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

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

51 calls:

Time	Variable		Point	Expression
11.0ms	d	@	0	(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
4.0ms	l	@	inf	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
4.0ms	d	@	0	(pow (/ d l) (/ 1 2))
2.0ms	D	@	0	(pow (/ (* M D) (* 2 d)) 2)
2.0ms	D	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))

simplify259.0ms (1.1%)

Memory

8.4MiB live, 285.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 330×	`lower-fma.f64`
3 330×	`lower-fma.f32`
2 810×	`lower-*.f64`
2 810×	`lower-*.f32`
1 713×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite195.0ms (0.9%)

Memory

-23.2MiB live, 274.0MiB allocated

Rules

3 723×	`lower-*.f32`
3 717×	`lower-*.f64`
2 176×	`lower-fma.f64`
2 176×	`lower-fma.f32`
1 684×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 603

Calls

Call 1

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

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

eval94.0ms (0.4%)

Memory: 16.8MiB live, 169.0MiB allocated
Compiler: Compiled 32 235 to 2 662 computations (91.7% saved)

prune233.0ms (1%)

Memory

-16.0MiB live, 354.5MiB allocated

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	775	34	809
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	776	34	810

Accuracy

92.7%

Counts

810 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.4%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d))) h)) (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	40.6%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	40.7%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	24.7%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
▶	23.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	20.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	26.4%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	40.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	40.8%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	67.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.3%	(.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 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 4 binary64) (.f64 (/.f64 d (.f64 D M)) (/.f64 d (*.f64 D M)))))))
	47.8%	(.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 (.f64 D M) D) M)) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
	57.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
▶	70.9%	(.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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (/.f64 #s(literal 1 binary64) h)))))
	66.9%	(.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 h l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
	63.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	40.6%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 d d) l))) (*.f64 D D)))))
	39.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	32.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.4%	(.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))))
	67.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.5%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.4%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	67.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	24.3%	(.f64 (sqrt.f64 d) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	23.2%	#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 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	34.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 h h) (/.f64 h (.f64 (.f64 l l) l)))) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (.f64 (/.f64 l h) (.f64 l l))) d)) (*.f64 l l)))
	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 l l) h) l))) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 h h) l) h))) d)) h))
	14.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	12.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 D D)) (.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))))
▶	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))))

Compiler

Compiled 2 482 to 1 524 computations (38.6% saved)

simplify146.0ms (0.6%)

Memory

24.5MiB live, 181.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	320	(*.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))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5184	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d)))
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
cost-diff	576	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	576	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 l h))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1088	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (/.f64 #s(literal 1 binary64) h))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

3 826×	`lower-*.f32`
3 801×	`lower-*.f64`
1 646×	`lower-/.f32`
1 632×	`lower-/.f64`
1 028×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	701
0	137	705
1	249	669
2	683	665
3	3994	655
4	7873	655
0	8052	643

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

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

localize265.0ms (1.2%)

Memory

0.3MiB live, 511.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.4231725393082826	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	5.455720919151407	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	5.68992078236602	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	5.714051994567369	(sqrt.f64 (/.f64 h d))
accuracy	3.577356634716483	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64))
accuracy	5.286513460155147	(sqrt.f64 (/.f64 d h))
accuracy	6.845156875532886	(.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))
accuracy	8.398427065691855	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d))
accuracy	5.286513460155147	(sqrt.f64 (/.f64 d h))
accuracy	5.689920782366018	(sqrt.f64 (/.f64 d l))
accuracy	6.845156875532886	(.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))
accuracy	8.398427065691855	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d))
accuracy	0.11328125	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.2006834616139298	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	6.680591134968952	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	31.684472614196736	#s(approx (* (* (pow (/ 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	2.6438520651368553	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 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) D) M) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (/.f64 #s(literal 1 binary64) h)))))
accuracy	2.6781497078084846	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
accuracy	5.286513460155147	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	5.68992078236602	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

71.0ms	132×	0	valid
70.0ms	124×	0	invalid

Compiler

Compiled 737 to 68 computations (90.8% saved)

Precisions

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

ival-mult: 39.0ms (40.8% of total)

ival-div: 24.0ms (25.1% of total)

ival-pow: 14.0ms (14.6% of total)

ival-sqrt: 9.0ms (9.4% of total)

ival-pow2: 3.0ms (3.1% of total)

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

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

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

exact: 1.0ms (1% of total)

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

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

series190.0ms (0.8%)

Memory

-2.2MiB live, 299.9MiB allocated

Counts

25 → 960

Calls

Call 1

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

240 calls:

Time	Variable		Point	Expression
39.0ms	d	@	-inf	(* (* 1/2 (* D 1/2)) (/ M d))
7.0ms	h	@	0	(/ (* (* 1/2 (* D 1/2)) (/ M d)) (/ 1 h))
3.0ms	d	@	0	(/ (* (* 1/2 (* D 1/2)) (/ M d)) (/ 1 h))
2.0ms	d	@	inf	(+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1)
2.0ms	d	@	0	(* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d)))

simplify260.0ms (1.1%)

Memory

-2.9MiB live, 450.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 094×	`lower-*.f64`
4 094×	`lower-*.f32`
2 986×	`lower-fma.f64`
2 986×	`lower-fma.f32`
1 573×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	15229
1	936	14798
2	3456	14718
3	6509	14658
0	8085	14379

Stop Event

1×	iter limit
1×	node limit

Counts

960 → 960

Calls

Call 1

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

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

rewrite317.0ms (1.4%)

Memory

13.6MiB live, 396.8MiB allocated

Rules

2 933×	`lower-*.f32`
2 910×	`lower-*.f64`
1 664×	`lower-/.f32`
1 650×	`lower-/.f64`
1 002×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	346
0	132	333
1	390	293
2	2729	285
0	8438	283

Stop Event

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

Counts

25 → 918

Calls

Call 1

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

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

eval372.0ms (1.6%)

Memory: 45.2MiB live, 600.1MiB allocated
Compiler: Compiled 79 302 to 4 127 computations (94.8% saved)

prune895.0ms (3.9%)

Memory

-167.7MiB live, 841.0MiB allocated

Pruning

69 alts after pruning (68 fresh and 1 done)

	Pruned	Kept	Total
New	2 317	61	2 378
Fresh	22	7	29
Picked	4	1	5
Done	0	0	0
Total	2 343	69	2 412

Accuracy

94.3%

Counts

2 412 → 69

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.8%	(/.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 D D) #s(literal 1/4 binary64)) (.f64 M M))) (.f64 l (*.f64 d d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	25.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	10.4%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (*.f64 M M)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	35.3%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
	10.8%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M l))) (sqrt.f64 (/.f64 h (.f64 (*.f64 d d) d))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	27.7%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	24.9%	(+.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))) (/.f64 d (sqrt.f64 (.f64 l h)))))
	20.0%	(.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 D D) #s(literal 1/4 binary64)) (.f64 M M))) (.f64 l (.f64 d d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	32.6%	(.f64 (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	26.4%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	23.1%	(.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 D D) #s(literal 1/4 binary64)) (.f64 M M))) (.f64 l (*.f64 d d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l)))
	67.1%	(.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.5%	(.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (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))))
	25.2%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	29.6%	(.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.9%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 D D) #s(literal 1/4 binary64)) (.f64 M M))) (.f64 l (*.f64 d d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	39.9%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 D D) #s(literal 1/4 binary64)) (.f64 M M))) (.f64 l (*.f64 d d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	42.8%	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) (/.f64 #s(literal 1/4 binary64) (.f64 d d)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	41.1%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 D D)) (.f64 (.f64 M M) (/.f64 #s(literal 1/4 binary64) (.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	50.5%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) D) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D)) (/.f64 #s(literal 1 binary64) (*.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	62.9%	(.f64 (.f64 (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	50.8%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 #s(literal 1/4 binary64) d)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	61.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	54.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (.f64 D (.f64 D (.f64 (.f64 M M) (/.f64 #s(literal 1/4 binary64) (.f64 d d))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	63.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	42.1%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (/.f64 #s(literal 1 binary64) h)))))
	38.6%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (/.f64 #s(literal 1 binary64) h)))))
	38.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.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))))
	54.9%	(.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 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 (.f64 M D) #s(literal 1/2 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) h)) l)))
▶	69.9%	(.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 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))))))
	68.3%	(.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 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 l h)))))
	63.8%	(.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 #s(literal 1/4 binary64) D) (.f64 (.f64 (/.f64 M d) h) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (*.f64 d l))))))
	33.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	47.1%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M (/.f64 M (*.f64 d d))) h) l) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	24.3%	(.f64 (sqrt.f64 d) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	37.3%	(.f64 #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	10.1%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (.f64 (*.f64 d d) d)))))) (sqrt.f64 (/.f64 d l)))
	10.7%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M l))) (sqrt.f64 (/.f64 h (.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l)))
	44.3%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	27.9%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 (.f64 h h) (/.f64 h (.f64 (.f64 l l) l))))) (.f64 (/.f64 (.f64 M M) d) (.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	12.7%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l))))))
	13.4%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) (.f64 (.f64 (neg.f64 M) M) (*.f64 D (/.f64 D d)))))
	30.7%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	23.2%	#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 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (.f64 (/.f64 l h) (.f64 l l))) d)) (*.f64 l l)))
	44.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	44.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
▶	19.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	21.3%	#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 d h))) (sqrt.f64 (neg.f64 l))))
	25.0%	#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) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
▶	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	38.4%	#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) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h)) d))
	26.2%	#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 binary64) (sqrt.f64 h)) (sqrt.f64 l)) d))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 (neg.f64 h))) d))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (/.f64 #s(literal 1 binary64) l)))) d))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	14.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	23.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d))
	19.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (sqrt.f64 d)))
	23.8%	#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 (/.f64 #s(literal 1 binary64) l) h)) d))
	23.8%	#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 (/.f64 #s(literal 1 binary64) h) l)) d))
✓	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	23.8%	#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 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h))) d))
	19.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)) (/.f64 #s(literal 1 binary64) (.f64 l h))))) d))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
▶	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))))

Compiler

Compiled 3 986 to 2 576 computations (35.4% saved)

simplify128.0ms (0.6%)

Memory

22.3MiB live, 177.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 609×	`lower-*.f32`
4 585×	`lower-*.f64`
1 131×	`lower-fma.f32`
1 129×	`lower-fma.f64`
1 035×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	640
0	141	631
1	265	613
2	750	613
3	4082	613
0	8072	608

Stop Event

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

Calls

Call 1

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

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

localize314.0ms (1.4%)

Memory

-30.1MiB live, 392.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.5445192697583625	(.f64 (.f64 D D) M)
accuracy	3.5773566347164816	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 #s(literal 1/4 binary64) d)) d) #s(literal 1 binary64))
accuracy	5.286513460155147	(sqrt.f64 (/.f64 d h))
accuracy	5.689920782366018	(sqrt.f64 (/.f64 d l))
accuracy	3.586889389960227	(/.f64 (*.f64 M M) d)
accuracy	5.432884875988745	(fma.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
accuracy	6.680591134968952	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	10.599901900179221	(sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))
accuracy	0.046875	(*.f64 (neg.f64 d) (/.f64 d l))
accuracy	1.3358228277581996	(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))
accuracy	12.153556595011302	(sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l)))
accuracy	14.011848086300894	#s(approx (* (* (pow (/ 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))))
accuracy	0	(*.f64 l h)
accuracy	0.11328125	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	6.7749880463371115	(sqrt.f64 (*.f64 l h))
accuracy	31.684472614196736	#s(approx (* (* (pow (/ d 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	3.1366878076524363	(*.f64 (/.f64 M d) h)
accuracy	3.816769106383717	(.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))
accuracy	5.689920782366018	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	5.714051994567369	(sqrt.f64 (/.f64 h d))

Samples

103.0ms	132×	0	valid
70.0ms	124×	0	invalid

Compiler

Compiled 624 to 80 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-div: 53.0ms (39.8% of total)

ival-mult: 45.0ms (33.8% of total)

ival-sqrt: 13.0ms (9.8% of total)

ival-pow: 12.0ms (9% of total)

ival-neg: 3.0ms (2.3% of total)

ival-pow2: 3.0ms (2.3% of total)

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

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

exact: 1.0ms (0.8% of total)

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

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

series134.0ms (0.6%)

Memory

6.9MiB live, 162.3MiB allocated

Counts

29 → 1 080

Calls

Call 1

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

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

Calls

270 calls:

Time	Variable		Point	Expression
17.0ms	D	@	0	(* (/ M l) (* (* (/ M d) h) (* 1/4 D)))
4.0ms	M	@	0	(neg (+ (* (* (sqrt (/ h (* (* l l) l))) -1/8) (* (* (/ (* M M) d) D) D)) (* (sqrt (/ 1 (* l h))) d)))
1.0ms	h	@	0	(neg (+ (* (* (sqrt (/ h (* (* l l) l))) -1/8) (* (* (/ (* M M) d) D) D)) (* (sqrt (/ 1 (* l h))) d)))
1.0ms	h	@	-inf	(neg (+ (* (* (sqrt (/ h (* (* l l) l))) -1/8) (* (* (/ (* M M) d) D) D)) (* (sqrt (/ 1 (* l h))) d)))
1.0ms	M	@	0	(* (/ M l) (* (* (/ M d) h) (* 1/4 D)))

simplify234.0ms (1%)

Memory

29.9MiB live, 336.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 681×	`lower-*.f64`
3 681×	`lower-*.f32`
2 252×	`lower-fma.f64`
2 252×	`lower-fma.f32`
1 550×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	16487
1	863	15814
2	3033	15620
3	7211	15572
0	8030	15284

Stop Event

1×	iter limit
1×	node limit

Counts

1 080 → 1 080

Calls

Call 1

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

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

rewrite312.0ms (1.4%)

Memory

-22.0MiB live, 403.4MiB allocated

Rules

2 859×	`lower-*.f32`
2 838×	`lower-*.f64`
2 638×	`lower-/.f32`
2 624×	`lower-/.f64`
1 588×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	409
0	131	385
1	398	357
2	2542	341
0	9432	338

Stop Event

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

Counts

29 → 1 326

Calls

Call 1

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

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

eval424.0ms (1.8%)

Memory: 38.3MiB live, 452.0MiB allocated
Compiler: Compiled 74 198 to 4 089 computations (94.5% saved)

prune760.0ms (3.3%)

Memory

30.7MiB live, 1 176.8MiB allocated

Pruning

73 alts after pruning (70 fresh and 3 done)

	Pruned	Kept	Total
New	2 414	37	2 451
Fresh	30	33	63
Picked	3	2	5
Done	0	1	1
Total	2 447	73	2 520

Accuracy

94.6%

Counts

2 520 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.8%	(/.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 D D) #s(literal 1/4 binary64)) (.f64 M M))) (.f64 l (*.f64 d d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	25.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	27.7%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	20.0%	(.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 D D) #s(literal 1/4 binary64)) (.f64 M M))) (.f64 l (.f64 d d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	20.8%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 (.f64 D D) M) M)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
▶	32.6%	(.f64 (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	39.1%	(.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))))))
	25.2%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	33.4%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))))))
	33.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (.f64 h l)) d)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))))))
	39.9%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 D D) #s(literal 1/4 binary64)) (.f64 M M))) (.f64 l (*.f64 d d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	42.8%	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 (.f64 D D) M) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	42.8%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 (.f64 D D) M) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	62.9%	(.f64 (.f64 (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	57.0%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (*.f64 D M) D) M) (/.f64 #s(literal 1/4 binary64) d)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	27.0%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 #s(literal 1/4 binary64) d)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
	61.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	42.1%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (/.f64 #s(literal 1 binary64) h)))))
	41.6%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))))))
	38.6%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (/.f64 #s(literal 1 binary64) h)))))
	39.1%	(.f64 (.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))))))
▶	70.3%	(.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 1/2 binary64) d) D) (.f64 (/.f64 (.f64 (*.f64 D #s(literal 1/4 binary64)) (/.f64 M d)) l) (/.f64 h (/.f64 #s(literal 1 binary64) M))))))
	69.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (.f64 (/.f64 M l) (.f64 D #s(literal 1/4 binary64))) (.f64 h (/.f64 M d))))))
	68.3%	(.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 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 l h)))))
	33.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	46.9%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (/ (* (* (* (* D D) M) M) (/ 1/4 d)) d)) 1) (fma.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) #s(literal -1/8 binary64)) (/.f64 h (.f64 (.f64 d d) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	50.9%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (/ (* (* (* (* D D) M) M) (/ 1/4 d)) d)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) #s(literal -1/8 binary64)) (/.f64 h (*.f64 d d)) l) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	41.5%	(.f64 #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))))))
	10.1%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* (* (* D D) M) M) (/ 1/4 d)) d)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (.f64 (*.f64 d d) d)))))) (sqrt.f64 (/.f64 d l)))
	10.7%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* (* (* D D) M) M) (/ 1/4 d)) d)) 1) (sqrt (/ d h))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 M M) l)))) (sqrt.f64 (/.f64 h (.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l)))
	44.3%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* (* (* D D) M) M) (/ 1/4 d)) d)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	10.7%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M l))) (sqrt.f64 (/.f64 h (.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l)))
	27.9%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 (.f64 h h) (/.f64 h (.f64 (.f64 l l) l))))) (.f64 (/.f64 (.f64 M M) d) (.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	12.7%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l))))))
	30.7%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	23.2%	#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 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (.f64 (/.f64 l h) (.f64 l l))) d)) (*.f64 l l)))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	16.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (*.f64 h l)))
	44.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	44.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
	21.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
✓	19.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	25.0%	#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) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	19.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (.f64 (.f64 h l) (*.f64 h l))))))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	38.4%	#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) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	15.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M (/.f64 M (.f64 d d))) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) d))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 (neg.f64 h))) d))
▶	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 h)))))
	25.2%	#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 d (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 l))))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (/.f64 #s(literal 1 binary64) l)))) d))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (/.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 d)))))
	14.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	23.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) d))
	14.4%	#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 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l))))))
	23.8%	#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 (/.f64 #s(literal 1 binary64) l) h)) d))
	23.8%	#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 (/.f64 #s(literal 1 binary64) h) l)) d))
✓	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	23.8%	#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 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h))) d))
	25.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (neg.f64 d)) (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))))
	23.8%	#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 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.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)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
	30.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))))) D (/.f64 d (sqrt.f64 (*.f64 h l))))))
	19.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 #s(approx (+ (* (* (sqrt (/ h (* (* l l) l))) -1/8) (* (* (/ (* M M) d) D) D)) (* (sqrt (/ 1 (* l h))) d)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 (.f64 M M) D) D)) (/.f64 #s(literal -1/8 binary64) d) (.f64 (sqrt.f64 (.f64 (.f64 l l) (/.f64 l h))) d)) (*.f64 l l)))))
	17.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 #s(approx (+ (* (* (sqrt (/ h (* (* l l) l))) -1/8) (* (* (/ (* M M) d) D) D)) (* (sqrt (/ 1 (* l h))) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M (/.f64 M (.f64 d d))) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) d))))
	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 #s(approx (+ (* (* (sqrt (/ h (* (* l l) l))) -1/8) (* (* (/ (* M M) d) D) D)) (* (sqrt (/ 1 (* l h))) d)) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 D D)) (*.f64 (neg.f64 M) M)) (/.f64 #s(literal 1/8 binary64) d)))))

Compiler

Compiled 3 923 to 2 552 computations (34.9% saved)

simplify154.0ms (0.7%)

Memory

-30.1MiB live, 150.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 (*.f64 D D) M) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 (.f64 D D) M) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	320	(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 (.f64 D D) M) M)))
cost-diff	384	(fma.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 (.f64 D D) M) M))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
cost-diff	128	(neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (*.f64 d l)))
cost-diff	384	(.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D)))
cost-diff	0	(/.f64 d (sqrt.f64 (neg.f64 l)))
cost-diff	0	(*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 h))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 h)))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 h))
cost-diff	0	(*.f64 d d)
cost-diff	0	(/.f64 (.f64 d d) (.f64 l h))
cost-diff	0	(sqrt.f64 (/.f64 (.f64 d d) (.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)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
cost-diff	384	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 (.f64 (*.f64 D #s(literal 1/4 binary64)) (/.f64 M d)) l) (/.f64 h (/.f64 #s(literal 1 binary64) M))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1088	(/.f64 h (/.f64 #s(literal 1 binary64) M))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

2 900×	`lower-*.f32`
2 876×	`lower-*.f64`
2 299×	`lower-/.f32`
2 283×	`lower-/.f64`
734×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	597
0	139	590
1	285	564
2	910	560
3	3395	560
4	6673	560
0	8189	556

Stop Event

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

Calls

Call 1

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

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

localize255.0ms (1.1%)

Memory

16.0MiB live, 334.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.5773566347164816	(fma.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 (.f64 D D) M) M))) #s(literal 1 binary64))
accuracy	5.286513460155147	(sqrt.f64 (/.f64 d h))
accuracy	5.689920782366018	(sqrt.f64 (/.f64 d l))
accuracy	8.38013843751383	(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 (*.f64 D D) M) M))
accuracy	2.5354969919820105	(.f64 (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
accuracy	2.6781497078084846	(.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))
accuracy	6.505552795073568	(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (*.f64 d l))
accuracy	6.7749880463371115	(sqrt.f64 (*.f64 l h))
accuracy	0.07421875	(sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 h)))
accuracy	0.1015625	(/.f64 d (sqrt.f64 (neg.f64 l)))
accuracy	1.3280103277581996	(*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 h))))
accuracy	31.684472614196736	#s(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 l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 h)))))
accuracy	0	(*.f64 d d)
accuracy	7.402919799684483	(/.f64 (.f64 d d) (.f64 l h))
accuracy	11.055410401637651	(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
accuracy	14.011848086300894	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
accuracy	2.6438520651368553	(.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 1/2 binary64) d) D) (.f64 (/.f64 (.f64 (*.f64 D #s(literal 1/4 binary64)) (/.f64 M d)) l) (/.f64 h (/.f64 #s(literal 1 binary64) M))))))
accuracy	2.6781497078084846	(.f64 (.f64 D #s(literal 1/4 binary64)) (/.f64 M d))
accuracy	5.689920782366018	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	5.714051994567369	(sqrt.f64 (/.f64 h d))

Samples

82.0ms	132×	0	valid
70.0ms	124×	0	invalid

Compiler

Compiled 603 to 79 computations (86.9% saved)

Precisions

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

ival-mult: 51.0ms (43.3% of total)

ival-div: 29.0ms (24.6% of total)

ival-sqrt: 11.0ms (9.3% of total)

ival-pow: 11.0ms (9.3% of total)

ival-neg: 8.0ms (6.8% of total)

ival-pow2: 3.0ms (2.5% of total)

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

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

exact: 1.0ms (0.8% of total)

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

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

series141.0ms (0.6%)

Memory

-25.6MiB live, 176.5MiB allocated

Counts

30 → 1 140

Calls

Call 1

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

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

Calls

285 calls:

Time	Variable		Point	Expression
4.0ms	h	@	0	(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
2.0ms	d	@	0	(* -1/2 (* (/ 1/4 (* d d)) (* (* (* D D) M) M)))
1.0ms	h	@	-inf	(* (+ (* (* (neg (/ (* (* D 1/2) M) (* d l))) (* (/ M d) (* 1/4 D))) h) 1) (/ d (sqrt (* l h))))
1.0ms	l	@	-inf	(* (+ (* (* (neg (/ (* (* D 1/2) M) (* d l))) (* (/ M d) (* 1/4 D))) h) 1) (/ d (sqrt (* l h))))
1.0ms	l	@	0	(* (neg (/ (* (* D 1/2) M) (* d l))) (* (/ M d) (* 1/4 D)))

simplify237.0ms (1%)

Memory

42.9MiB live, 303.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 947×	`lower-*.f64`
3 947×	`lower-*.f32`
1 747×	`lower-fma.f64`
1 747×	`lower-fma.f32`
1 407×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	17011
1	746	16653
2	2632	16592
3	5760	16529
0	8158	16196

Stop Event

1×	iter limit
1×	node limit

Counts

1 140 → 1 140

Calls

Call 1

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

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

rewrite297.0ms (1.3%)

Memory

-24.4MiB live, 372.8MiB allocated

Rules

2 341×	`lower-*.f32`
2 317×	`lower-*.f64`
2 101×	`lower-/.f32`
2 085×	`lower-/.f64`
1 090×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	409
0	139	397
1	465	367
2	3296	349
0	8612	347

Stop Event

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

Counts

30 → 1 235

Calls

Call 1

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

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

eval334.0ms (1.5%)

Memory: 33.2MiB live, 620.3MiB allocated
Compiler: Compiled 69 475 to 3 965 computations (94.3% saved)

prune1.3s (5.5%)

Memory

-46.3MiB live, 983.3MiB allocated

Pruning

81 alts after pruning (77 fresh and 4 done)

	Pruned	Kept	Total
New	2 366	32	2 398
Fresh	20	45	65
Picked	4	1	5
Done	0	3	3
Total	2 390	81	2 471

Accuracy

95.0%

Counts

2 471 → 81

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.1%	(/.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) M) (.f64 (.f64 (neg.f64 d) l) d)) (.f64 (.f64 #s(literal 1/4 binary64) D) h) #s(literal 1 binary64)) d) (sqrt.f64 l)) (sqrt.f64 h))
	29.6%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) M) (.f64 (.f64 (neg.f64 d) l) d)) (.f64 (.f64 #s(literal 1/4 binary64) D) h) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	25.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 d d)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	27.7%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	33.4%	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) M) (.f64 (neg.f64 (.f64 D #s(literal 1/2 binary64))) (/.f64 M (.f64 l d)))) d) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	33.9%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) (neg.f64 l)) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	21.2%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) M) (.f64 (.f64 D D) M)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	37.6%	(.f64 (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))))
	31.8%	(.f64 (fma.f64 (.f64 #s(approx (neg (/ (* (* D 1/2) M) (* d l))) (.f64 (.f64 M (/.f64 D (.f64 l d))) #s(literal -1/2 binary64))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	24.9%	(.f64 (fma.f64 #s(approx ( (neg (/ (* (* D 1/2) M) (* d l))) (* (/ M d) (* 1/4 D))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 D (/.f64 D (.f64 (.f64 d d) l))))) h #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	39.1%	(.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))))))
	25.2%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	29.3%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) M) (.f64 (.f64 (neg.f64 d) l) d)) (.f64 (.f64 #s(literal 1/4 binary64) D) h) #s(literal 1 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
	39.9%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 D D) #s(literal 1/4 binary64)) (.f64 M M))) (.f64 l (*.f64 d d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	40.8%	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 M M) (*.f64 D D))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	43.6%	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (*.f64 D D) M)) M) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	54.5%	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) D) (.f64 D M)) (.f64 M #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	50.8%	(.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 D D) M)) M) d) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	42.8%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 (.f64 D D) M) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	62.8%	(.f64 (.f64 (fma.f64 (.f64 (neg.f64 D) (/.f64 #s(literal 1/2 binary64) d)) (.f64 (.f64 (/.f64 M (.f64 l d)) (.f64 #s(literal 1/4 binary64) D)) (.f64 M h)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	42.1%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (/.f64 #s(literal 1 binary64) h)))))
	41.6%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))))))
	33.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	70.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 (.f64 (*.f64 D #s(literal 1/4 binary64)) (/.f64 M d)) l) (/.f64 h (/.f64 #s(literal 1 binary64) M))))))
	67.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	46.9%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (/ (* (* (* (* D D) M) M) (/ 1/4 d)) d)) 1) (fma.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) #s(literal -1/8 binary64)) (/.f64 h (.f64 (.f64 d d) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	21.2%	(.f64 #s(approx (+ ( (* (neg (/ (* (* D 1/2) M) (* d l))) (* (/ M d) (* 1/4 D))) h) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (/.f64 h (.f64 d d))) l) l)) (/.f64 d (sqrt.f64 (.f64 l h))))
	9.1%	(.f64 #s(approx (+ ( (* (neg (/ (* (* D 1/2) M) (* d l))) (* (/ M d) (* 1/4 D))) h) 1) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 (.f64 d d) l)) (.f64 M M)))) (/.f64 d (sqrt.f64 (.f64 l h))))
	41.5%	(.f64 #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D))))))
	10.1%	(.f64 #s(approx ( (+ (* (/ h l) (* -1/2 (* (/ 1/4 (* d d)) (* (* (* D D) M) M)))) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 d d) d))) (.f64 D D)) (*.f64 (neg.f64 M) M)) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
	10.1%	(.f64 #s(approx ( (+ (* (/ h l) (* -1/2 (* (/ 1/4 (* d d)) (* (* (* D D) M) M)))) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (.f64 (*.f64 d d) d)))))) (sqrt.f64 (/.f64 d l)))
	44.3%	(.f64 #s(approx ( (+ (* (/ h l) (* -1/2 (* (/ 1/4 (* d d)) (* (* (* D D) M) M)))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	10.7%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* (* (* D D) M) M) (/ 1/4 d)) d)) 1) (sqrt (/ d h))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 M M) l)))) (sqrt.f64 (/.f64 h (.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l)))
	10.7%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M l))) (sqrt.f64 (/.f64 h (.f64 (*.f64 d d) d))))) (sqrt.f64 (/.f64 d l)))
	27.9%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (.f64 (.f64 h h) (/.f64 h (.f64 (.f64 l l) l))))) (.f64 (/.f64 (.f64 M M) d) (.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	12.7%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l))))))
	30.7%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	23.2%	#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 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 (.f64 M M) d) D) D) (.f64 (sqrt.f64 (.f64 (/.f64 l h) (.f64 l l))) d)) (*.f64 l l)))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l))))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	16.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (*.f64 h l)))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (neg.f64 d)) (neg.f64 (sqrt.f64 (neg.f64 l)))))
	44.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	44.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
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	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 l) (/.f64 h d)))))
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	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (neg.f64 l)) d) (sqrt.f64 (neg.f64 h)))))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 (neg.f64 h))) d))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))
	4.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) h) (/.f64 #s(literal -1 binary64) h))))))
	2.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
	25.2%	#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 d (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 l))))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (/.f64 #s(literal 1 binary64) l)))) d))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (/.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 d)))))
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	14.8%	#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 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
	14.4%	#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 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l))))))
	23.8%	#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 (/.f64 #s(literal 1 binary64) l) h)) d))
	23.8%	#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 (/.f64 #s(literal 1 binary64) h) l)) d))
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	23.8%	#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 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h))) d))
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	23.8%	#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 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))
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Compiler

Compiled 6 159 to 2 011 computations (67.3% saved)

regimes568.0ms (2.5%)

Memory

22.2MiB live, 415.3MiB allocated

Counts

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

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

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

Calls

7 calls:

107.0ms	(.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))))
99.0ms	(*.f64 M D)
79.0ms	M
78.0ms	D
75.0ms	d

Results

Accuracy	Segments	Branch
81.2%	2	`d`
83.0%	3	`h`
83.3%	3	`l`
70.9%	1	`M`
70.9%	1	`D`
74.5%	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))))`
70.9%	1	`(*.f64 M D)`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes133.0ms (0.6%)

Memory

17.5MiB live, 214.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

68.0ms	l
55.0ms	h

Results

Accuracy	Segments	Branch
83.0%	3	`h`
81.2%	2	`l`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes175.0ms (0.8%)

Memory

0.8MiB live, 262.2MiB allocated

Counts

131 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

55.0ms	h
42.0ms	d
41.0ms	l

Results

Accuracy	Segments	Branch
79.5%	2	`d`
81.7%	3	`l`
81.5%	3	`h`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes134.0ms (0.6%)

Memory

-6.8MiB live, 166.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

53.0ms	l
39.0ms	h
35.0ms	d

Results

Accuracy	Segments	Branch
78.0%	2	`d`
79.9%	3	`h`
80.2%	3	`l`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes226.0ms (1%)

Memory

2.2MiB live, 395.4MiB allocated

Counts

86 → 5

Calls

Call 1

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

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

Calls

7 calls:

51.0ms	(*.f64 M D)
33.0ms	l
32.0ms	D
29.0ms	M
28.0ms	d

Results

Accuracy	Segments	Branch
55.4%	2	`M`
54.1%	2	`D`
58.9%	4	`(*.f64 M D)`
62.8%	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))))`
75.6%	5	`d`
70.1%	3	`h`
75.4%	5	`l`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes85.0ms (0.4%)

Memory

-4.3MiB live, 164.0MiB allocated

Counts

82 → 6

Calls

Call 1

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

Calls

3 calls:

30.0ms	l
26.0ms	d
23.0ms	h

Results

Accuracy	Segments	Branch
67.7%	4	`h`
72.7%	6	`l`
71.0%	5	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes55.0ms (0.2%)

Memory

-4.6MiB live, 116.9MiB allocated

Counts

80 → 6

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	d
24.0ms	l

Results

Accuracy	Segments	Branch
65.7%	3	`d`
71.9%	6	`l`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes29.0ms (0.1%)

Memory

-13.5MiB live, 64.2MiB allocated

Counts

78 → 6

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
71.5%	6	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes52.0ms (0.2%)

Memory

3.3MiB live, 121.7MiB allocated

Counts

77 → 6

Calls

Call 1

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

Calls

2 calls:

25.0ms	h
22.0ms	l

Results

Accuracy	Segments	Branch
65.8%	4	`h`
70.6%	6	`l`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes121.0ms (0.5%)

Memory

7.1MiB live, 126.5MiB allocated

Counts

76 → 4

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	d
32.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
23.0ms	l
21.0ms	h

Results

Accuracy	Segments	Branch
58.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
60.9%	3	`h`
63.2%	4	`d`
62.9%	4	`l`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes25.0ms (0.1%)

Memory

13.8MiB live, 50.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
61.7%	3	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes47.0ms (0.2%)

Memory

11.0MiB live, 84.6MiB allocated

Counts

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

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

Calls

2 calls:

21.0ms	l
21.0ms	d

Results

Accuracy	Segments	Branch
62.0%	4	`l`
62.8%	4	`d`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes111.0ms (0.5%)

Memory

-7.5MiB live, 123.0MiB allocated

Counts

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

Calls

4 calls:

41.0ms	l
29.0ms	d
20.0ms	h
16.0ms	(.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
56.0%	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))))`
59.1%	4	`l`
54.0%	2	`h`
58.2%	4	`d`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes83.0ms (0.4%)

Memory

-29.0MiB live, 91.6MiB allocated

Counts

52 → 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)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d 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 (/.f64 #s(literal 1 binary64) h) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d #s(literal 1 binary64)) (.f64 l (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (.f64 (.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 d 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 h)) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* (* (* D D) M) M) (/ 1/4 d)) d)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 #s(approx ( (+ (* (/ h l) (* -1/2 (* (/ 1/4 (* d d)) (* (* (* D D) M) M)))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (/.f64 #s(literal 1 binary64) l)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 (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 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (neg.f64 l)) d) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (neg.f64 d)) (neg.f64 (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 l) (/.f64 h d)))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)) (/.f64 #s(literal 1 binary64) (.f64 l h))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (*.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (neg.f64 d)) (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (.f64 (*.f64 l 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 (.f64 (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))) (.f64 D D)) (.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) l)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (.f64 (*.f64 l l) 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 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))

Calls

3 calls:

35.0ms

(*.f64 M D)

26.0ms

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

19.0ms

Results

Accuracy	Segments	Branch
53.1%	3	`(*.f64 M D)`
55.6%	3	`l`
55.6%	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 54 to 33 computations (38.9% saved)

regimes101.0ms (0.4%)

Memory

23.9MiB live, 144.9MiB allocated

Counts

48 → 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)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d 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 (/.f64 #s(literal 1 binary64) h) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d #s(literal 1 binary64)) (.f64 l (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (.f64 (.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 d 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 h)) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* (* (* D D) M) M) (/ 1/4 d)) d)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 #s(approx ( (+ (* (/ h l) (* -1/2 (* (/ 1/4 (* d d)) (* (* (* D D) M) M)))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (/.f64 #s(literal 1 binary64) l)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 (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 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (neg.f64 l)) d) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (neg.f64 d)) (neg.f64 (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 l) (/.f64 h d)))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)) (/.f64 #s(literal 1 binary64) (.f64 l h))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (*.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (neg.f64 d)) (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))))

Outputs

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

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

Calls

5 calls:

37.0ms	M
18.0ms	l
16.0ms	D
14.0ms	d
13.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
54.0%	2	`l`
44.7%	1	`D`
54.0%	2	`d`
46.4%	2	`M`
49.6%	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 64 to 42 computations (34.4% saved)

regimes47.0ms (0.2%)

Memory

-16.1MiB live, 92.3MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

15.0ms	h
14.0ms	l
12.0ms	d

Results

Accuracy	Segments	Branch
52.2%	2	`d`
54.4%	3	`h`
52.6%	2	`l`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes30.0ms (0.1%)

Memory

18.4MiB live, 60.8MiB allocated

Counts

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

Outputs

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

2 calls:

17.0ms	l
10.0ms	h

Results

Accuracy	Segments	Branch
52.6%	2	`l`
52.2%	2	`h`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes35.0ms (0.2%)

Memory

-4.9MiB live, 32.5MiB 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)))) (sqrt.f64 (.f64 (/.f64 d (.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Outputs

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

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

Calls

5 calls:

23.0ms	h
3.0ms	l
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))))
3.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
36.8%	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))))`
34.7%	2	`(*.f64 M D)`
46.4%	2	`h`
46.3%	2	`d`
46.8%	2	`l`

Compiler

Compiled 66 to 43 computations (34.8% saved)

regimes33.0ms (0.1%)

Memory

-10.5MiB live, 27.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	D
2.0ms	l
2.0ms	M
2.0ms	d
2.0ms	h

Results

Accuracy	Segments	Branch
31.9%	1	`D`
38.8%	2	`d`
38.8%	2	`h`
34.1%	2	`M`
38.7%	2	`l`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes14.0ms (0.1%)

Memory

3.0MiB live, 37.4MiB 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:

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	(*.f64 M D)
1.0ms	h
1.0ms	D
1.0ms	M

Results

Accuracy	Segments	Branch
24.0%	1	`D`
24.0%	1	`M`
24.0%	1	`(*.f64 M D)`
24.0%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
24.0%	1	`l`
24.0%	1	`d`
24.0%	1	`h`

Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch133.0ms (0.6%)

Memory

18.7MiB live, 227.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	-5.565984364857452e-302	1.3171877646358346e-307
54.0ms	-1.1636045942249513e+42	-3.0751821908961444e+38

Samples

52.0ms	272×	0	valid
43.0ms	279×	0	invalid

Compiler

Compiled 1 332 to 879 computations (34% saved)

Precisions

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

ival-div: 28.0ms (36.7% of total)

ival-pow: 19.0ms (24.9% of total)

ival-mult: 17.0ms (22.3% of total)

ival-pow2: 8.0ms (10.5% of total)

ival-sub: 3.0ms (3.9% of total)

exact: 1.0ms (1.3% of total)

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

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

bsearch144.0ms (0.6%)

Memory

10.7MiB live, 322.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	-1.0174376108516012e-303	1.7216792602085106e-307
66.0ms	-8.944154540171072e+143	-1.0602630539129172e+130

Samples

52.0ms	328×	0	invalid
52.0ms	304×	0	valid

Compiler

Compiled 1 510 to 1 031 computations (31.7% saved)

Precisions

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

ival-div: 25.0ms (31.9% of total)

ival-mult: 23.0ms (29.4% of total)

ival-pow: 20.0ms (25.5% of total)

ival-pow2: 6.0ms (7.7% of total)

ival-sub: 3.0ms (3.8% of total)

ival-true: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

bsearch45.0ms (0.2%)

Memory

7.9MiB live, 123.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.565984364857452e-302	1.3171877646358346e-307
39.0ms	-3.5301113334109254e+186	-5.680660264287469e+185

Samples

15.0ms	94×	0	invalid
15.0ms	96×	0	valid

Compiler

Compiled 1 054 to 717 computations (32% saved)

Precisions

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

ival-div: 7.0ms (29.7% of total)

ival-mult: 7.0ms (29.7% of total)

ival-pow: 7.0ms (29.7% of total)

ival-pow2: 2.0ms (8.5% of total)

ival-sub: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

-48.0MiB live, 8.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-5.565984364857452e-302	1.3171877646358346e-307
1.0ms	-3.5301113334109254e+186	-5.680660264287469e+185

Compiler

Compiled 1 054 to 717 computations (32% saved)

bsearch359.0ms (1.6%)

Memory

12.1MiB live, 399.3MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
85.0ms	9.327712000545649e-296	9.097767945432053e-294
60.0ms	-2.1348113961139198e-71	-3.2866224630866085e-75
68.0ms	-2.282468803363723e+146	-1.0712989057454911e+143
82.0ms	-1.7107616704253746e+178	-5.841249209853228e+175

Samples

137.0ms	500×	0	invalid
125.0ms	496×	0	valid

Compiler

Compiled 2 054 to 1 313 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 96.0ms (42.2% of total)

ival-pow: 70.0ms (30.7% of total)

ival-div: 46.0ms (20.2% of total)

ival-pow2: 9.0ms (4% of total)

ival-sub: 5.0ms (2.2% of total)

ival-true: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

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

bsearch340.0ms (1.5%)

Memory

23.0MiB live, 433.5MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
69.0ms	2.3694732803652742e+122	2.1346579922229978e+130
1.0ms	-5.565984364857452e-302	1.3171877646358346e-307
57.0ms	-2.0530224141466494e-221	-5.160834907796057e-224
113.0ms	-1.568573719760769e-126	-4.97362692583708e-142
75.0ms	-8.44939576013897e+98	-1.2043256451348054e+92

Samples

154.0ms	576×	0	valid
120.0ms	552×	0	invalid

Compiler

Compiled 2 499 to 1 667 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

ival-div: 87.0ms (43.3% of total)

ival-mult: 58.0ms (28.9% of total)

ival-pow: 35.0ms (17.4% of total)

ival-pow2: 12.0ms (6% of total)

ival-sub: 5.0ms (2.5% of total)

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

exact: 1.0ms (0.5% of total)

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

bsearch52.0ms (0.2%)

Memory

-13.5MiB live, 64.6MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.3694732803652742e+122	2.1346579922229978e+130
40.0ms	-7.093284114467732e-301	-5.565984364857452e-302
1.0ms	-2.0530224141466494e-221	-5.160834907796057e-224
5.0ms	-1.568573719760769e-126	-4.97362692583708e-142
1.0ms	-8.44939576013897e+98	-1.2043256451348054e+92

Samples

15.0ms	96×	0	valid
11.0ms	80×	0	invalid

Compiler

Compiled 2 180 to 1 462 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 6.0ms (29.9% of total)

ival-pow: 6.0ms (29.9% of total)

ival-mult: 5.0ms (24.9% of total)

ival-pow2: 2.0ms (10% of total)

ival-sub: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.3694732803652742e+122	2.1346579922229978e+130
1.0ms	-7.093284114467732e-301	-5.565984364857452e-302
1.0ms	-2.0530224141466494e-221	-5.160834907796057e-224
1.0ms	-1.568573719760769e-126	-4.97362692583708e-142
1.0ms	-8.44939576013897e+98	-1.2043256451348054e+92

Compiler

Compiled 2 180 to 1 462 computations (32.9% saved)

bsearch121.0ms (0.5%)

Memory

-9.9MiB live, 141.7MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
107.0ms	1.6597251877967292e+168	9.81980023344899e+189
1.0ms	-7.093284114467732e-301	-5.565984364857452e-302
1.0ms	-2.0530224141466494e-221	-5.160834907796057e-224
1.0ms	-1.568573719760769e-126	-4.97362692583708e-142
1.0ms	-8.44939576013897e+98	-1.2043256451348054e+92

Samples

70.0ms	176×	0	valid
25.0ms	174×	0	invalid

Compiler

Compiled 2 276 to 1 528 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 15.0ms (31.7% of total)

ival-pow: 15.0ms (31.7% of total)

ival-div: 12.0ms (25.3% of total)

ival-pow2: 3.0ms (6.3% of total)

ival-sub: 2.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch92.0ms (0.4%)

Memory

21.7MiB live, 176.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
36.0ms	4.5366914744015434e+88	1.2697791589049841e+89
1.0ms	9.327712000545649e-296	9.097767945432053e-294
47.0ms	-8.581320859283833e-26	-1.6503996966357947e-27

Samples

34.0ms	192×	0	valid
27.0ms	208×	0	invalid

Compiler

Compiled 1 046 to 706 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 17.0ms (37.7% of total)

ival-mult: 13.0ms (28.9% of total)

ival-pow: 8.0ms (17.8% of total)

ival-pow2: 4.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.327712000545649e-296	9.097767945432053e-294
1.0ms	-8.581320859283833e-26	-1.6503996966357947e-27

Compiler

Compiled 806 to 541 computations (32.9% saved)

bsearch136.0ms (0.6%)

Memory

-20.3MiB live, 152.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
47.0ms	6.3271312318612096e+87	4.5366914744015434e+88
79.0ms	-4.330650233091089e-307	1.0943792206426773e-305
1.0ms	-8.581320859283833e-26	-1.6503996966357947e-27

Samples

52.0ms	256×	0	invalid
49.0ms	224×	0	valid

Compiler

Compiled 1 156 to 780 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 19.0ms (35.6% of total)

ival-div: 16.0ms (30% of total)

ival-pow: 10.0ms (18.8% of total)

ival-pow2: 5.0ms (9.4% of total)

ival-sub: 2.0ms (3.8% 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

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7498088965640549e-66	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.855923780046834e+118	-3.3525447546480176e+104

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.565984364857452e-302	1.3171877646358346e-307

Compiler

Compiled 340 to 246 computations (27.6% saved)

bsearch69.0ms (0.3%)

Memory

-8.0MiB live, 111.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.0174376108516012e-303	1.7216792602085106e-307
63.0ms	-3.0039694055469053e+149	-8.944154540171072e+143

Samples

30.0ms	144×	0	valid
24.0ms	141×	0	invalid

Compiler

Compiled 619 to 453 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 16.0ms (36.9% of total)

ival-pow: 13.0ms (29.9% of total)

ival-div: 10.0ms (23% of total)

ival-pow2: 3.0ms (6.9% of total)

ival-sub: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch80.0ms (0.3%)

Memory

-5.5MiB live, 111.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
67.0ms	9.722537305689725e-288	3.0358870167916917e-277

Samples

29.0ms	160×	0	valid
27.0ms	166×	0	invalid

Compiler

Compiled 343 to 250 computations (27.1% saved)

Precisions

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

ival-div: 11.0ms (26.4% of total)

ival-mult: 11.0ms (26.4% of total)

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

ival-sub: 6.0ms (14.4% of total)

ival-pow2: 3.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch36.0ms (0.2%)

Memory

15.5MiB live, 51.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	9.722537305689725e-288	3.0358870167916917e-277

Samples

15.0ms	71×	0	invalid
12.0ms	80×	0	valid

Compiler

Compiled 333 to 240 computations (27.9% saved)

Precisions

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

ival-mult: 10.0ms (44.2% of total)

ival-div: 5.0ms (22.1% of total)

ival-pow: 5.0ms (22.1% of total)

ival-sub: 1.0ms (4.4% of total)

ival-pow2: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch73.0ms (0.3%)

Memory

-4.0MiB live, 117.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
67.0ms	-1.9109646085226083e-297	-1.0174376108516012e-303

Samples

31.0ms	144×	0	valid
22.0ms	152×	0	invalid

Compiler

Compiled 295 to 201 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 14.0ms (32.8% of total)

ival-pow: 13.0ms (30.5% of total)

ival-div: 11.0ms (25.8% of total)

ival-pow2: 3.0ms (7% of total)

ival-sub: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify332.0ms (1.5%)

Memory

17.3MiB live, 133.5MiB allocated

Algorithm

1×	egg-herbie

Rules

594×	`distribute-lft-neg-in_binary64`
534×	`neg-mul-1_binary64`
503×	`unsub-neg_binary64`
314×	`neg-sub0_binary64`
271×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	297	3025
1	418	3025
2	539	3025
3	695	3025
4	807	3025
5	881	3024
6	928	3024
7	986	3024
8	1070	3024
9	1423	3024
10	1908	3024
11	2365	3024
12	2814	3024
13	3162	3024
14	3394	3024
15	3586	3024
16	3613	3024
17	3618	3024
18	3662	3024
19	3724	3024
20	3733	3024
21	3755	3024
22	3783	3024
23	3815	3024
24	3846	3024
25	3882	3024
26	3956	3024
27	4054	3024
28	4157	3024
29	4252	3024
30	4328	3024
31	4388	3024
32	4431	3024
33	4460	3024
34	4483	3024
35	4493	3024
36	4495	3024
37	4495	3024

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 l #s(literal -1950000000000000041104388249046277423104 binary64)) (.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)))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)))))) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))))))))
(if (<=.f64 h #s(literal -175000000000000005747273435610862063822727199112932046714654849595280726207287899220200230234852297219691163337256426226263485860987011072 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)))))) (if (<=.f64 h #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)))))) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))))))))
(if (<=.f64 l #s(literal -1999999999999999959234088337507430342214258903733683304135264237914896909571122220072342892220791970157205022783259144237767019517472760523037789559840158117208617709883954451835865006080 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 (neg.f64 d)) (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h)))))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)))))) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))))))))
(if (<=.f64 l #s(literal -1999999999999999959234088337507430342214258903733683304135264237914896909571122220072342892220791970157205022783259144237767019517472760523037789559840158117208617709883954451835865006080 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 (neg.f64 d)) (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h)))))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)))))) (.f64 (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 d #s(literal -121999999999999993035676480802473356837480994056676519405906433011787954074751319481458058742512888067511602835730726834252909318941225862722583850301156682360876178963936837632 binary64)) (/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (/ (* (* D D) (* (* M M) 1/4)) (* d d))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (if (<=.f64 d #s(literal -84999999999999997686065353421570737288463761141869699315811593762256782807197403957949304952077044001034397838658319089268672992247575950970060800 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))))) D (/.f64 d (sqrt.f64 (.f64 h l)))))) (if (<=.f64 d #s(literal -7638884911254323/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (.f64 (.f64 #s(approx (+ ( (* -1/2 (/ h l)) (/ (* (* (* (* D D) M) M) (/ 1/4 d)) d)) 1) (fma.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) #s(literal -1/8 binary64)) (/.f64 h (.f64 (.f64 d d) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 d #s(literal 8743979407970305/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 (.f64 l l) l))))) D (/.f64 d (sqrt.f64 (.f64 h l)))))) (.f64 (fma.f64 (.f64 (neg.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) M) (.f64 d l))) (.f64 (/.f64 M d) (.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))))
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Outputs
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(if (<=.f64 l #s(literal -1999999999999999959234088337507430342214258903733683304135264237914896909571122220072342892220791970157205022783259144237767019517472760523037789559840158117208617709883954451835865006080 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 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d)))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) (.f64 (/.f64 M d) h)) (/.f64 M l)) (.f64 (/.f64 #s(literal 1/2 binary64) d) D))) #s(approx ( (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))) (.f64 (/.f64 d (.f64 (sqrt.f64 h) (sqrt.f64 l))) (fma.f64 (.f64 (.f64 (.f64 (neg.f64 D) #s(literal 1/4 binary64)) (/.f64 M d)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) D) M) (.f64 d l))) h #s(literal 1 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 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))))

soundness2.5s (11.1%)

Memory

19.4MiB live, 1 795.3MiB allocated

Rules

4 094×	`lower-*.f64`
4 094×	`lower-*.f32`
3 947×	`lower-*.f64`
3 947×	`lower-*.f32`
3 723×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	16487
1	863	15814
2	3033	15620
3	7211	15572
0	8030	15284
0	22	64
0	38	60
1	124	59
2	828	59
0	8726	58
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125
0	82	409
0	139	397
1	465	367
2	3296	349
0	8612	347
0	79	409
0	131	385
1	398	357
2	2542	341
0	9432	338
0	262	17011
1	746	16653
2	2632	16592
3	5760	16529
0	8158	16196
0	317	15229
1	936	14798
2	3456	14718
3	6509	14658
0	8085	14379
0	78	346
0	132	333
1	390	293
2	2729	285
0	8438	283

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

Compiler

Compiled 4 465 to 1 960 computations (56.1% saved)

preprocess230.0ms (1%)

Memory: -37.9MiB live, 269.1MiB allocated
Compiler: Compiled 4 512 to 1 186 computations (73.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze439.0ms (1.9%)

sample6.2s (27.2%)

explain531.0ms (2.3%)

preprocess194.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify175.0ms (0.8%)

localize123.0ms (0.5%)

series65.0ms (0.3%)

simplify259.0ms (1.1%)

rewrite195.0ms (0.9%)

eval94.0ms (0.4%)

prune233.0ms (1%)

simplify146.0ms (0.6%)

localize265.0ms (1.2%)

series190.0ms (0.8%)

simplify260.0ms (1.1%)

rewrite317.0ms (1.4%)

eval372.0ms (1.6%)

prune895.0ms (3.9%)

simplify128.0ms (0.6%)

localize314.0ms (1.4%)

series134.0ms (0.6%)

simplify234.0ms (1%)

rewrite312.0ms (1.4%)

eval424.0ms (1.8%)

prune760.0ms (3.3%)

simplify154.0ms (0.7%)

localize255.0ms (1.1%)

series141.0ms (0.6%)

simplify237.0ms (1%)

rewrite297.0ms (1.3%)

eval334.0ms (1.5%)

prune1.3s (5.5%)

regimes568.0ms (2.5%)

regimes133.0ms (0.6%)

regimes175.0ms (0.8%)

regimes134.0ms (0.6%)

regimes226.0ms (1%)

regimes85.0ms (0.4%)

regimes55.0ms (0.2%)

regimes29.0ms (0.1%)

regimes52.0ms (0.2%)

regimes121.0ms (0.5%)

regimes25.0ms (0.1%)

regimes47.0ms (0.2%)

regimes111.0ms (0.5%)

regimes83.0ms (0.4%)

regimes101.0ms (0.4%)

regimes47.0ms (0.2%)

regimes30.0ms (0.1%)

regimes35.0ms (0.2%)

regimes33.0ms (0.1%)

regimes14.0ms (0.1%)

bsearch133.0ms (0.6%)

bsearch144.0ms (0.6%)

bsearch45.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch359.0ms (1.6%)

bsearch340.0ms (1.5%)

bsearch52.0ms (0.2%)

bsearch5.0ms (0%)

bsearch121.0ms (0.5%)

bsearch92.0ms (0.4%)

bsearch2.0ms (0%)

bsearch136.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch69.0ms (0.3%)

bsearch80.0ms (0.3%)

bsearch36.0ms (0.2%)

bsearch73.0ms (0.3%)

simplify332.0ms (1.5%)

soundness2.5s (11.1%)

preprocess230.0ms (1%)

end0.0ms (0%)

Profiling