Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze454.0ms (3.4%)

Memory

-3.8MiB live, 672.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	7
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	8
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	9
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	10
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	11
18.8%	18.7%	81%	0.3%	0%	0%	0%	12

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.6s (19.1%)

Memory

74.1MiB live, 1 874.8MiB allocated

Samples

1.4s	8 256×	0	valid
348.0ms	2 733×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 399.0ms (36.5% of total)

ival-pow2: 233.0ms (21.3% of total)

ival-div: 220.0ms (20.1% of total)

ival-sqrt: 163.0ms (14.9% of total)

ival-sub: 53.0ms (4.8% of total)

exact: 12.0ms (1.1% of total)

ival-true: 9.0ms (0.8% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain249.0ms (1.9%)

Memory

-5.5MiB live, 459.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
41	1	(-4.6521216272588606e+86 -3.1850464713491105e+89 2.5416565781272835e-155 -2.9090478540583874e-47 -5.267869856465711e+307 -6.095940441939476e-82)	0	-	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
24	0	-	0	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
20	0	-	1	(-8.32962282839562e+142 -7.148263801943208e-222 -1.103027897756701e-90 8.435574262528285e+145 8.165192618454952e+36 1.2286274147286175e-119)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
7	0	-	0	-	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
0	0	-	0	-	`D`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	0	-	0	-	`(/.f64 h l)`
0	0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	0	-	0	-	`d`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 M D)`
0	0	-	0	-	`w0`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`l`
0	0	-	0	-	`M`
0	0	-	0	-	`h`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	oflow-rescue	24	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	45
↳	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`	overflow	46
↳	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	overflow	22
↳	`(*.f64 M D)`	overflow	16
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	22
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	46
↳	`(/.f64 h l)`	overflow	24
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	8	0
↳	`(*.f64 M D)`	overflow	16
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	7	0
`*.f64`	`(.f64 (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	45
↳	`(*.f64 M D)`	overflow	16
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	22
↳	`(/.f64 h l)`	underflow	40
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	2	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	44
`*.f64`	`(.f64 (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	124
↳	`(*.f64 M D)`	underflow	44
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	66
↳	`(/.f64 h l)`	overflow	24

Confusion

	Predicted +	Predicted -
+	34	15
-	9	198

Precision

0.7906976744186046

Recall

0.6938775510204082

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	15
-	9	0	198

Precision?

0.7906976744186046

Recall?

0.6938775510204082

Freqs

test

number	freq
0	213
1	38
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 307 to 72 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 22.0ms (46.2% of total)

ival-mult: 12.0ms (25.2% of total)

ival-pow2: 6.0ms (12.6% of total)

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

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

ival-true: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

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

preprocess159.0ms (1.2%)

Memory

-2.2MiB live, 197.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	501
1	520	492
2	1570	492
3	4468	492
0	17	18
0	26	18
1	47	18
2	115	18
3	826	18
4	4554	18
5	7862	18
0	8022	18

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Outputs
(.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify184.0ms (1.4%)

Memory

24.1MiB live, 223.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	47	95
2	115	95
3	826	95
4	4554	95
5	7862	95
0	8022	95

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(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)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

Outputs
(.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)))
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)
(*.f64 D M)
M
D
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

localize41.0ms (0.3%)

Memory

-11.8MiB live, 106.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.6911640274167543	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy	4.562541081671211	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	5.599394528739232	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy	9.739897875915073	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

30.0ms

256×

valid

Compiler

Compiled 192 to 36 computations (81.3% saved)

Precisions

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

ival-mult: 6.0ms (37.3% of total)

ival-div: 4.0ms (24.9% of total)

ival-pow2: 3.0ms (18.6% of total)

ival-sqrt: 2.0ms (12.4% of total)

ival-sub: 1.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series103.0ms (0.8%)

Memory

3.1MiB live, 157.9MiB allocated

Counts

5 → 288

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 h) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 h) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 h) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 h) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 h) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 h) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 h) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 h) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	l	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
12.0ms	h	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
7.0ms	D	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
6.0ms	h	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	M	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))

simplify190.0ms (1.4%)

Memory

-32.9MiB live, 263.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	7690
1	2185	7668
0	8475	7462

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 281

Calls

Call 1

Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (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))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (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 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (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))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (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))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (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 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (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))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (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))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))

Outputs
(.f64 (sqrt.f64 (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
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(.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64))
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rewrite172.0ms (1.3%)

Memory

28.8MiB live, 269.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	26	69
1	82	69
2	550	69
3	7047	69
0	8635	69

Stop Event

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

Counts

5 → 411

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(.f64 (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
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eval155.0ms (1.2%)

Memory: -39.1MiB live, 255.8MiB allocated
Compiler: Compiled 24 537 to 2 875 computations (88.3% saved)

prune63.0ms (0.5%)

Memory

-10.2MiB live, 113.1MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	677	15	692
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	678	15	693

Accuracy

90.7%

Counts

693 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
	79.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
▶	79.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
▶	84.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	82.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
▶	89.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
	69.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 l h) (*.f64 d d))))))
	76.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 M l) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64)))))))
	72.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (/.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) (/.f64 l h))))))
	61.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))))))
	73.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
▶	14.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
	60.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
▶	72.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	58.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))

Compiler

Compiled 840 to 662 computations (21.2% saved)

simplify145.0ms (1.1%)

Memory

31.1MiB live, 214.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
cost-diff	128	(.f64 (/.f64 (neg.f64 h) l) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
cost-diff	1088	(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff	128	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))))
cost-diff	768	(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
cost-diff	0	(.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff	0	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff	0	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
cost-diff	128	(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
cost-diff	1088	(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	547
0	96	553
1	201	553
2	724	523
3	4796	523
0	8304	523

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 (/.f64 M d) h)
(/.f64 M d)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l))
(.f64 (.f64 (*.f64 M M) D) D)
(.f64 (.f64 M M) D)
(*.f64 M M)
M
D
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 D d)
D
d
(.f64 (.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(.f64 (/.f64 (neg.f64 h) l) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
#s(literal 1 binary64)

Outputs
(.f64 (sqrt.f64 (fma.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
(.f64 (.f64 (/.f64 h l) D) (*.f64 #s(literal -1/2 binary64) (/.f64 M d)))
(.f64 h (.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 h (/.f64 M d))
(/.f64 M d)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))))
(.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))
(.f64 (.f64 (/.f64 D (.f64 (.f64 d d) l)) M) (*.f64 D M))
(.f64 (.f64 (*.f64 M M) D) D)
(.f64 (.f64 M M) D)
(*.f64 M M)
M
D
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(.f64 (sqrt.f64 (fma.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) #s(literal -1/4 binary64)) (/.f64 h l))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 D d)) M) M)
(/.f64 D d)
D
d
(.f64 #s(literal 1/4 binary64) (.f64 M M))
(*.f64 M M)
M
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(.f64 (sqrt.f64 (fma.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 h (.f64 (.f64 M M) D)) (.f64 (/.f64 D (.f64 (.f64 d d) l)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 h l) D) (*.f64 #s(literal -1/2 binary64) (/.f64 M d)))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
#s(literal 1 binary64)

localize226.0ms (1.7%)

Memory

8.9MiB live, 412.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.6911640274167543	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
accuracy	6.086478478151166	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	10.477031740958312	(.f64 (/.f64 (neg.f64 h) l) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
accuracy	1.6911640274167543	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
accuracy	6.815875715887611	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy	9.071596112655632	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))))
accuracy	6.298053916878139	(.f64 (.f64 M M) D)
accuracy	7.399746651930072	(.f64 (.f64 d d) l)
accuracy	12.028075486037455	(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l))
accuracy	44.11136762536626	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))
accuracy	1.6911640274167543	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	17.780943615176213	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	5.51024796171667	(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
accuracy	6.086478478151166	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	7.090386840116454	(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))

Samples

146.0ms

256×

valid

Compiler

Compiled 1 047 to 116 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 42.0ms (54.8% of total)

ival-div: 16.0ms (20.9% of total)

ival-sqrt: 8.0ms (10.4% of total)

ival-add: 4.0ms (5.2% of total)

ival-pow2: 3.0ms (3.9% of total)

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

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

exact: 1.0ms (1.3% of total)

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

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

series274.0ms (2%)

Memory

-22.5MiB live, 415.3MiB allocated

Counts

24 → 1 356

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (neg.f64 h) l) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 d d) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 M M) D) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
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Calls

18 calls:

Time	Variable		Point	Expression
78.0ms	M	@	inf	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* (* d d) l)) (* -1/4 h)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1) (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D d) (* (* M M) 1/4)))
12.0ms	l	@	inf	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* (* d d) l)) (* -1/4 h)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1) (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D d) (* (* M M) 1/4)))
12.0ms	M	@	0	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* (* d d) l)) (* -1/4 h)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1) (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D d) (* (* M M) 1/4)))
11.0ms	d	@	-inf	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* (* d d) l)) (* -1/4 h)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1) (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D d) (* (* M M) 1/4)))
9.0ms	D	@	0	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* (* d d) l)) (* -1/4 h)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1) (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* (/ 1/2 d) M) D)) (* (* (/ 1/2 d) M) D)) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (/ D d) (* (* M M) 1/4)))

simplify271.0ms (2%)

Memory

42.7MiB live, 513.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	656	35991
1	2273	35761
0	8171	34713

Stop Event

1×	iter limit
1×	node limit

Counts

1 356 → 1 321

Calls

Call 1

Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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1
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1
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w0
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1
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w0
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1
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1
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1
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1
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w0
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1
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(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
1
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w0
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1
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w0
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1
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1
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Outputs
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(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))) w0))
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(.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
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(/.f64 (.f64 (.f64 (.f64 D D) M) M) (.f64 (*.f64 d d) l))
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(/.f64 (.f64 (.f64 (.f64 D D) M) M) (.f64 (*.f64 d d) l))
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(.f64 (.f64 d d) l)
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(.f64 (/.f64 (.f64 (*.f64 D M) M) d) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (*.f64 D M) M) d) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (*.f64 D M) M) d) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (*.f64 D M) M) d) #s(literal 1/4 binary64))

rewrite239.0ms (1.8%)

Memory

-3.8MiB live, 319.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	439
0	96	445
1	306	391
2	2347	381
0	9128	367

Stop Event

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

Counts

24 → 852

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h))
(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(.f64 (/.f64 (neg.f64 h) l) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l))
(.f64 (.f64 d d) l)
(.f64 (.f64 M M) D)
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))

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eval382.0ms (2.9%)

Memory: 21.1MiB live, 833.8MiB allocated
Compiler: Compiled 104 137 to 4 859 computations (95.3% saved)

prune179.0ms (1.3%)

Memory

15.4MiB live, 246.1MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	2 454	15	2 469
Fresh	7	3	10
Picked	3	2	5
Done	0	0	0
Total	2 464	20	2 484

Accuracy

91.5%

Counts

2 484 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
	79.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) (neg.f64 h)) (.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
	79.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 l) d) (.f64 h (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D)))) (/.f64 D d) #s(literal 1 binary64))))
	82.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
	82.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
✓	89.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
▶	84.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))
▶	82.5%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
	73.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	14.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
▶	15.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
	15.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
▶	16.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
	12.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 D D) l)) (.f64 #s(literal -1/4 binary64) h)))))
	14.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 D D) (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
	15.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h))))))
	15.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (.f64 D M) (/.f64 D (.f64 (.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
	60.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
✓	72.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	58.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))

Compiler

Compiled 1 246 to 941 computations (24.5% saved)

simplify149.0ms (1.1%)

Memory

-44.8MiB live, 183.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)))
cost-diff	0	(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
cost-diff	0	(.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff	0	(*.f64 D D)
cost-diff	0	(.f64 (.f64 D D) #s(literal -1/8 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
cost-diff	0	(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	795
0	123	795
1	263	795
2	851	787
3	4383	787
4	6569	787
0	8253	787

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
#s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(*.f64 #s(literal -1/2 binary64) (/.f64 D d))
#s(literal -1/2 binary64)
(/.f64 D d)
(/.f64 (*.f64 h M) l)
(*.f64 h M)
h
l
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(.f64 (.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d)))
(/.f64 (.f64 (.f64 M M) h) l)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
l
(/.f64 w0 (*.f64 d d))
w0
(*.f64 d d)
d
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 l d) d))
(.f64 (.f64 (*.f64 M M) D) D)
(.f64 (.f64 M M) D)
(*.f64 M M)
M
D
(.f64 (.f64 l d) d)
(*.f64 l d)
l
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))
(.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))
(.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d)))
(/.f64 (.f64 (.f64 M M) D) d)
(.f64 (.f64 M M) D)
(*.f64 M M)
M
D
d
(/.f64 D (*.f64 l d))
(*.f64 l d)
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(*.f64 #s(literal -1/4 binary64) (/.f64 D d))
#s(literal -1/4 binary64)
(/.f64 D d)
D
d
(/.f64 (.f64 (.f64 M M) h) l)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
l
#s(literal 1 binary64)

Outputs
(.f64 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 M d)) (*.f64 D (/.f64 h l)))) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 M d)) (*.f64 D (/.f64 h l)))) #s(literal 1 binary64)))
(fma.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 M d)) (*.f64 D (/.f64 h l)))) #s(literal 1 binary64))
(.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
#s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 M d)) (*.f64 D (/.f64 h l))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 M d)) (*.f64 D (/.f64 h l)))
(*.f64 (/.f64 D d) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 D d)
(/.f64 (*.f64 h M) l)
(*.f64 h M)
h
l
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 w0 (.f64 d d)) D) (.f64 D (.f64 (.f64 (/.f64 (.f64 h M) l) M) #s(literal -1/8 binary64))) w0))
(fma.f64 (.f64 (/.f64 w0 (.f64 d d)) D) (.f64 D (.f64 (.f64 (/.f64 (.f64 h M) l) M) #s(literal -1/8 binary64))) w0)
(.f64 #s(literal -1/8 binary64) (.f64 D D))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(.f64 (.f64 (/.f64 w0 (.f64 d d)) M) (/.f64 (.f64 h M) l))
(.f64 (/.f64 (.f64 h M) l) M)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
l
(/.f64 w0 (*.f64 d d))
w0
(*.f64 d d)
d
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (*.f64 (/.f64 (/.f64 (/.f64 D d) l) d) D)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (*.f64 (/.f64 (/.f64 (/.f64 D d) l) d) D))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (*.f64 (/.f64 (/.f64 (/.f64 D d) l) d) D)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (*.f64 (/.f64 (/.f64 (/.f64 D d) l) d) D))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 D d) l) d) M) (*.f64 D M))
(.f64 (.f64 (*.f64 M M) D) D)
(.f64 (.f64 M M) D)
(*.f64 M M)
M
D
(.f64 (.f64 l d) d)
(*.f64 l d)
l
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (*.f64 (/.f64 (/.f64 (/.f64 D d) l) d) D)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (*.f64 (/.f64 (/.f64 (/.f64 D d) l) d) D))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (*.f64 (/.f64 (/.f64 (/.f64 D d) l) d) D)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (*.f64 (/.f64 (/.f64 (/.f64 D d) l) d) D))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 D d) l) d) M) (*.f64 D M))
(/.f64 (.f64 (.f64 M M) D) d)
(.f64 (.f64 M M) D)
(*.f64 M M)
M
D
d
(/.f64 (/.f64 D d) l)
(*.f64 l d)
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) M) (.f64 (.f64 (/.f64 (/.f64 D d) l) h) M))) (/.f64 D d) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) M) (.f64 (.f64 (/.f64 (/.f64 D d) l) h) M))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) M) (.f64 (.f64 (/.f64 (/.f64 D d) l) h) M))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) M) (.f64 (.f64 (/.f64 (/.f64 D d) l) h) M)))
(.f64 (.f64 #s(literal -1/4 binary64) M) (.f64 (.f64 (/.f64 (/.f64 D d) l) h) M))
(*.f64 #s(literal -1/4 binary64) (/.f64 D d))
#s(literal -1/4 binary64)
(/.f64 D d)
D
d
(.f64 (/.f64 (.f64 h M) l) M)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
l
#s(literal 1 binary64)

localize208.0ms (1.6%)

Memory

41.4MiB live, 301.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)))
accuracy	6.833239992600406	(/.f64 (.f64 (.f64 M M) h) l)
accuracy	8.114435838263542	(.f64 (.f64 M M) h)
accuracy	9.09919296290398	(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
accuracy	6.057250036964983	(.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d)))
accuracy	6.29192833490182	(/.f64 D (*.f64 l d))
accuracy	6.298053916878139	(.f64 (.f64 M M) D)
accuracy	44.11136762536626	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))
accuracy	5.599394528739232	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))
accuracy	6.298053916878139	(.f64 (.f64 M M) D)
accuracy	12.028075486037455	(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 l d) d))
accuracy	44.11136762536626	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))
accuracy	8.114435838263542	(.f64 (.f64 M M) h)
accuracy	10.268384750566915	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
accuracy	11.401437226844283	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
accuracy	14.751904862680409	(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d)))
accuracy	5.151647572367068	(/.f64 (*.f64 h M) l)
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))
accuracy	6.086478478151166	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	9.27791113010232	(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))

Samples

157.0ms

256×

valid

Compiler

Compiled 1 366 to 156 computations (88.6% saved)

Precisions

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

ival-mult: 65.0ms (55% of total)

ival-div: 37.0ms (31.3% of total)

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

ival-add: 4.0ms (3.4% of total)

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

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

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

exact: 1.0ms (0.8% of total)

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

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

series277.0ms (2.1%)

Memory

-26.9MiB live, 484.7MiB allocated

Counts

30 → 1 584

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 D D) #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 D D) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 h M) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 M M) h) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 l d) d)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 M M) D) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 D (*.f64 l d)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 M M) h) l) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf w0) (#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 l d) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 l d) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 l d) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 l d) d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 D (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 D (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 D (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 D (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)) #<representation binary64>) () ())) ())

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	D	@	-inf	((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* (* (/ 1/2 d) M) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* (* l d) d)) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ (* (* M M) D) d) (/ D (* l d))) (* -1/4 h)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* (* -1/2 (/ D d)) (/ (* h M) l)) (/ (* h M) l) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (/ D (* l d)) (* (/ (* (* M M) D) d) (/ D (* l d))) (* (* -1/4 (/ D d)) (/ (* (* M M) h) l)) (/ (* (* M M) h) l))
20.0ms	d	@	-inf	((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* (* (/ 1/2 d) M) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* (* l d) d)) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ (* (* M M) D) d) (/ D (* l d))) (* -1/4 h)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* (* -1/2 (/ D d)) (/ (* h M) l)) (/ (* h M) l) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (/ D (* l d)) (* (/ (* (* M M) D) d) (/ D (* l d))) (* (* -1/4 (/ D d)) (/ (* (* M M) h) l)) (/ (* (* M M) h) l))
10.0ms	M	@	inf	((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* (* (/ 1/2 d) M) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* (* l d) d)) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ (* (* M M) D) d) (/ D (* l d))) (* -1/4 h)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* (* -1/2 (/ D d)) (/ (* h M) l)) (/ (* h M) l) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (/ D (* l d)) (* (/ (* (* M M) D) d) (/ D (* l d))) (* (* -1/4 (/ D d)) (/ (* (* M M) h) l)) (/ (* (* M M) h) l))
9.0ms	l	@	inf	((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* (* (/ 1/2 d) M) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* (* l d) d)) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ (* (* M M) D) d) (/ D (* l d))) (* -1/4 h)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* (* -1/2 (/ D d)) (/ (* h M) l)) (/ (* h M) l) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (/ D (* l d)) (* (/ (* (* M M) D) d) (/ D (* l d))) (* (* -1/4 (/ D d)) (/ (* (* M M) h) l)) (/ (* (* M M) h) l))
8.0ms	h	@	inf	((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* (* (/ 1/2 d) M) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* (* l d) d)) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ (* (* M M) D) d) (/ D (* l d))) (* -1/4 h)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* (* -1/2 (/ D d)) (/ (* h M) l)) (/ (* h M) l) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (/ D (* l d)) (* (/ (* (* M M) D) d) (/ D (* l d))) (* (* -1/4 (/ D d)) (/ (* (* M M) h) l)) (/ (* (* M M) h) l))

simplify274.0ms (2%)

Memory

-11.8MiB live, 437.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	37436
1	2352	37268
0	8503	36236

Stop Event

1×	iter limit
1×	node limit

Counts

1 584 → 1 542

Calls

Call 1

Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
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w0
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1
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1
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w0
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1
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1
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w0
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w0
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1
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1
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w0
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1
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1
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w0
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1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
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(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
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w0
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1
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1
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w0
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w0
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1
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1
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w0
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1
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1
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1
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1
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ D (* d l))
(/ D (* d l))
(/ D (* d l))
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(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
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Outputs
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(.f64 (sqrt.f64 (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) M) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
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(.f64 (sqrt.f64 (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) M) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) M) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
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(/.f64 (.f64 (.f64 (.f64 D D) M) M) (.f64 (*.f64 d d) l))
(/.f64 (.f64 (.f64 (.f64 D D) M) M) (.f64 (*.f64 d d) l))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))

rewrite199.0ms (1.5%)

Memory

47.4MiB live, 353.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	638
0	123	638
1	402	618
2	2885	618
0	8155	618

Stop Event

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

Counts

30 → 950

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(.f64 (.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))
(.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(/.f64 (*.f64 h M) l)
(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d)))
(.f64 (.f64 M M) h)
(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 l d) d))
(.f64 (.f64 M M) D)
(/.f64 D (*.f64 l d))
(.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d)))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(/.f64 (.f64 (.f64 M M) h) l)

Outputs
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eval477.0ms (3.6%)

Memory: -4.3MiB live, 511.4MiB allocated
Compiler: Compiled 127 498 to 5 070 computations (96% saved)

prune224.0ms (1.7%)

Memory

-2.4MiB live, 160.3MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	2 592	24	2 616
Fresh	7	6	13
Picked	4	1	5
Done	1	1	2
Total	2 604	32	2 636

Accuracy

91.8%

Counts

2 636 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
	83.9%	(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) #s(literal -1/4 binary64)) (/.f64 D d))) (/.f64 D d) #s(literal 1 binary64))) w0)
	82.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
	82.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	84.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64))))
	80.0%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
▶	84.9%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))))
▶	82.1%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))))
	73.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	17.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 D M)) (.f64 (*.f64 (/.f64 (/.f64 D d) l) #s(literal -1/4 binary64)) h)) (neg.f64 d)))))
	14.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (.f64 M M) D)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
	15.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (neg.f64 M) (.f64 D M))) (.f64 (neg.f64 d) d)) (.f64 #s(literal -1/4 binary64) h)))))
	16.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
✓	16.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
	14.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) (.f64 #s(literal -1/4 binary64) h)))))
	12.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 D D) l)) (.f64 #s(literal -1/4 binary64) h)))))
	15.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h))))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
	15.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
	57.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))
✓	72.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	64.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 (.f64 h M) l)) d) (/.f64 w0 d)) (.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
▶	67.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0))
	64.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 (neg.f64 d) l)) w0))
▶	61.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
	61.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
	62.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
	54.1%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
	58.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
	68.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
▶	58.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
	9.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))

Compiler

Compiled 2 340 to 1 712 computations (26.8% saved)

simplify146.0ms (1.1%)

Memory

-15.9MiB live, 60.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff	128	(.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D))
cost-diff	0	(*.f64 D D)
cost-diff	0	(.f64 (.f64 D D) #s(literal -1/8 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0))
cost-diff	0	(*.f64 D D)
cost-diff	0	(.f64 (.f64 D D) #s(literal -1/8 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
cost-diff	0	(*.f64 w0 #s(literal -1/8 binary64))
cost-diff	0	(fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)
cost-diff	0	#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0))
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
cost-diff	0	#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l))
cost-diff	0	(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	788
0	122	776
1	275	776
2	939	775
3	4834	767
0	8142	767

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l))
(/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)
(.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h)
(*.f64 #s(literal -1/4 binary64) (/.f64 D d))
#s(literal -1/4 binary64)
(/.f64 D d)
D
d
h
(*.f64 M M)
M
l
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0))
(fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)
(*.f64 w0 #s(literal -1/8 binary64))
w0
#s(literal -1/8 binary64)
(/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (.f64 d d) l))
(.f64 (.f64 (.f64 D D) h) (.f64 M M))
(.f64 (.f64 D D) h)
(*.f64 D D)
D
h
(*.f64 M M)
M
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0)
(.f64 (.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d))
(.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0)
(.f64 M (/.f64 (.f64 h M) l))
M
(/.f64 (*.f64 h M) l)
(*.f64 h M)
h
l
w0
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0)
(.f64 (.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d)
(/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d)
(.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0)
(.f64 M (/.f64 (.f64 h M) l))
M
(/.f64 (*.f64 h M) l)
(*.f64 h M)
h
l
w0
d
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l)))
(/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))
(.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D))
(.f64 (neg.f64 M) (.f64 h M))
(neg.f64 M)
M
(*.f64 h M)
h
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
D
(*.f64 (neg.f64 d) l)
(neg.f64 d)
d
l
(/.f64 D d)
#s(literal 1 binary64)

Outputs
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) l) #s(literal -1/4 binary64))) (/.f64 D d) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) l) #s(literal -1/4 binary64))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) l) #s(literal -1/4 binary64))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) l) #s(literal -1/4 binary64)))
(.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) l) #s(literal -1/4 binary64))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) #s(literal -1/4 binary64))
(.f64 (.f64 (/.f64 D d) #s(literal -1/4 binary64)) h)
(*.f64 (/.f64 D d) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(/.f64 D d)
D
d
h
(*.f64 M M)
M
l
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) l) d) (.f64 M (.f64 M (.f64 D (*.f64 (/.f64 D d) h)))) #s(literal 1 binary64)) w0)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) l) d) (.f64 M (.f64 M (.f64 D (*.f64 (/.f64 D d) h)))) #s(literal 1 binary64)) w0))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) l) d) (.f64 M (.f64 M (.f64 D (*.f64 (/.f64 D d) h)))) #s(literal 1 binary64)) w0)
(*.f64 #s(literal -1/8 binary64) w0)
w0
#s(literal -1/8 binary64)
(.f64 (/.f64 (/.f64 (.f64 (.f64 D D) M) d) l) (.f64 h (/.f64 M d)))
(.f64 (.f64 (.f64 (.f64 M M) h) D) D)
(.f64 (.f64 D D) h)
(*.f64 D D)
D
h
(*.f64 M M)
M
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) l) d) (.f64 M (.f64 M (.f64 D (*.f64 (/.f64 D d) h)))) #s(literal 1 binary64)) w0))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) l) d) (.f64 M (.f64 M (.f64 D (*.f64 (/.f64 D d) h)))) #s(literal 1 binary64)) w0)
(.f64 (.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(.f64 (/.f64 (.f64 (*.f64 M M) w0) d) (/.f64 (/.f64 h d) l))
(.f64 (.f64 (*.f64 (/.f64 h l) M) M) w0)
(.f64 (.f64 (/.f64 h l) M) M)
M
(*.f64 (/.f64 h l) M)
(*.f64 M h)
h
l
w0
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) l) d) (.f64 M (.f64 M (.f64 D (*.f64 (/.f64 D d) h)))) #s(literal 1 binary64)) w0))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) l) d) (.f64 M (.f64 M (.f64 D (*.f64 (/.f64 D d) h)))) #s(literal 1 binary64)) w0)
(.f64 (.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(.f64 (/.f64 (.f64 (*.f64 M M) w0) d) (/.f64 (/.f64 h d) l))
(/.f64 (.f64 (.f64 (*.f64 (/.f64 h l) M) M) w0) d)
(.f64 (.f64 (*.f64 (/.f64 h l) M) M) w0)
(.f64 (.f64 (/.f64 h l) M) M)
M
(*.f64 (/.f64 h l) M)
(*.f64 M h)
h
l
w0
d
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) l) #s(literal -1/4 binary64))) (/.f64 D d) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) l) #s(literal -1/4 binary64))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) l) #s(literal -1/4 binary64))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) l) #s(literal -1/4 binary64)))
(.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) l) #s(literal -1/4 binary64))
(.f64 (.f64 (.f64 D h) M) (.f64 #s(literal 1/4 binary64) M))
(.f64 (.f64 (neg.f64 M) M) h)
(neg.f64 M)
M
(*.f64 M h)
h
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
D
(*.f64 (neg.f64 d) l)
(neg.f64 d)
d
l
(/.f64 D d)
#s(literal 1 binary64)

localize273.0ms (2%)

Memory

14.5MiB live, 152.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.6911640274167543	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))))
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64)))
accuracy	6.369657348045294	(.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D))
accuracy	10.459224621910161	(/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))
accuracy	5.151647572367068	(/.f64 (*.f64 h M) l)
accuracy	6.154681994025086	(.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0)
accuracy	10.268384750566915	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0)
accuracy	11.401437226844283	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0))
accuracy	6.154681994025086	(.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0)
accuracy	10.268384750566915	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0)
accuracy	11.401437226844283	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
accuracy	12.7631803635547	(/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d))
accuracy	7.399746651930072	(.f64 (.f64 d d) l)
accuracy	11.401437226844283	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
accuracy	12.683102515468914	(/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (.f64 d d) l))
accuracy	13.9738067752362	(.f64 (.f64 (.f64 D D) h) (.f64 M M))
accuracy	4.687113578833889	(/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)
accuracy	4.798341997244004	(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h)
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64)))
accuracy	7.635406374832836	(.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M))

Samples

196.0ms

256×

valid

Compiler

Compiled 1 361 to 152 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 59.0ms (44.5% of total)

ival-add: 41.0ms (31% of total)

ival-div: 21.0ms (15.9% of total)

ival-sqrt: 4.0ms (3% of total)

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

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

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

exact: 1.0ms (0.8% of total)

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

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

series289.0ms (2.2%)

Memory

-4.2MiB live, 270.7MiB allocated

Counts

28 → 1 488

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 D D) #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 D D) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (.f64 D D) h) (.f64 M M)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (.f64 d d) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 d d) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 h M) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 w0) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l)) #<representation binary64>) () ())) ())

Calls

18 calls:

Time	Variable		Point	Expression
38.0ms	D	@	inf	((* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (+ (* (* w0 -1/8) (/ (* (* (* D D) h) (* M M)) (* (* d d) l))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (* M (/ (* h M) l)) w0) (* d d))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (* (* (neg M) (* h M)) (* -1/4 D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (* (* -1/4 (/ D d)) h) (* M M)) (* (* -1/4 (/ D d)) h) (/ (* (* (* -1/4 (/ D d)) h) (* M M)) l) (* (* (* D D) h) (* M M)) (/ (* (* (* D D) h) (* M M)) (* (* d d) l)) (* (* d d) l) (/ (* (* M (/ (* h M) l)) w0) (* d d)) (* (* M (/ (* h M) l)) w0) (/ (* h M) l) (/ (* (* (neg M) (* h M)) (* -1/4 D)) (* (neg d) l)))
30.0ms	l	@	0	((* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (+ (* (* w0 -1/8) (/ (* (* (* D D) h) (* M M)) (* (* d d) l))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (* M (/ (* h M) l)) w0) (* d d))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (* (* (neg M) (* h M)) (* -1/4 D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (* (* -1/4 (/ D d)) h) (* M M)) (* (* -1/4 (/ D d)) h) (/ (* (* (* -1/4 (/ D d)) h) (* M M)) l) (* (* (* D D) h) (* M M)) (/ (* (* (* D D) h) (* M M)) (* (* d d) l)) (* (* d d) l) (/ (* (* M (/ (* h M) l)) w0) (* d d)) (* (* M (/ (* h M) l)) w0) (/ (* h M) l) (/ (* (* (neg M) (* h M)) (* -1/4 D)) (* (neg d) l)))
14.0ms	h	@	inf	((* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (+ (* (* w0 -1/8) (/ (* (* (* D D) h) (* M M)) (* (* d d) l))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (* M (/ (* h M) l)) w0) (* d d))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (* (* (neg M) (* h M)) (* -1/4 D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (* (* -1/4 (/ D d)) h) (* M M)) (* (* -1/4 (/ D d)) h) (/ (* (* (* -1/4 (/ D d)) h) (* M M)) l) (* (* (* D D) h) (* M M)) (/ (* (* (* D D) h) (* M M)) (* (* d d) l)) (* (* d d) l) (/ (* (* M (/ (* h M) l)) w0) (* d d)) (* (* M (/ (* h M) l)) w0) (/ (* h M) l) (/ (* (* (neg M) (* h M)) (* -1/4 D)) (* (neg d) l)))
7.0ms	h	@	-inf	((* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (+ (* (* w0 -1/8) (/ (* (* (* D D) h) (* M M)) (* (* d d) l))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (* M (/ (* h M) l)) w0) (* d d))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (* (* (neg M) (* h M)) (* -1/4 D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (* (* -1/4 (/ D d)) h) (* M M)) (* (* -1/4 (/ D d)) h) (/ (* (* (* -1/4 (/ D d)) h) (* M M)) l) (* (* (* D D) h) (* M M)) (/ (* (* (* D D) h) (* M M)) (* (* d d) l)) (* (* d d) l) (/ (* (* M (/ (* h M) l)) w0) (* d d)) (* (* M (/ (* h M) l)) w0) (/ (* h M) l) (/ (* (* (neg M) (* h M)) (* -1/4 D)) (* (neg d) l)))
6.0ms	l	@	-inf	((* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (+ (* (* w0 -1/8) (/ (* (* (* D D) h) (* M M)) (* (* d d) l))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (* M (/ (* h M) l)) w0) (* d d))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (* (* (neg M) (* h M)) (* -1/4 D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (* (* -1/4 (/ D d)) h) (* M M)) (* (* -1/4 (/ D d)) h) (/ (* (* (* -1/4 (/ D d)) h) (* M M)) l) (* (* (* D D) h) (* M M)) (/ (* (* (* D D) h) (* M M)) (* (* d d) l)) (* (* d d) l) (/ (* (* M (/ (* h M) l)) w0) (* d d)) (* (* M (/ (* h M) l)) w0) (/ (* h M) l) (/ (* (* (neg M) (* h M)) (* -1/4 D)) (* (neg d) l)))

simplify248.0ms (1.9%)

Memory

-0.6MiB live, 270.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	669	33696
1	2309	33589
0	8320	32649

Stop Event

1×	iter limit
1×	node limit

Counts

1 488 → 1 425

Calls

Call 1

Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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w0
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1
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1
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w0
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w0
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1
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1
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(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(* (pow d 2) l)
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
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w0
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Outputs
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#s(literal 1 binary64)
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(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d)))
(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d)))
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w0
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(+.f64 (fma.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 (/.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (.f64 (.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64)))
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#s(literal 1 binary64)
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(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
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(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
w0
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(+.f64 (fma.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 (/.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
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(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
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(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
w0
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(+.f64 (fma.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 (/.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
w0
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
w0
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(+.f64 (fma.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 (/.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
w0
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
w0
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
(fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(+.f64 (fma.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 (/.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (.f64 (.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (.f64 (.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l)))) (fma.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
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(.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) #s(literal -1/4 binary64))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) #s(literal -1/4 binary64))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) #s(literal -1/4 binary64))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) #s(literal -1/4 binary64))
(.f64 (/.f64 (.f64 D h) d) #s(literal -1/4 binary64))
(.f64 (/.f64 (.f64 D h) d) #s(literal -1/4 binary64))
(.f64 (/.f64 (.f64 D h) d) #s(literal -1/4 binary64))
(.f64 (/.f64 (.f64 D h) d) #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(/.f64 (.f64 (.f64 (.f64 D h) D) (.f64 M M)) (.f64 (.f64 d d) l))
(/.f64 (.f64 (.f64 (.f64 D h) D) (.f64 M M)) (.f64 (.f64 d d) l))
(/.f64 (.f64 (.f64 (.f64 D h) D) (.f64 M M)) (.f64 (.f64 d d) l))
(/.f64 (.f64 (.f64 (.f64 D h) D) (.f64 M M)) (.f64 (.f64 d d) l))
(.f64 (.f64 d d) l)
(.f64 (.f64 d d) l)
(.f64 (.f64 d d) l)
(.f64 (.f64 d d) l)
(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d)))
(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d)))
(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d)))
(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d)))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))

rewrite204.0ms (1.5%)

Memory

6.3MiB live, 322.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	604
0	122	594
1	446	594
2	3012	584
0	8797	584

Stop Event

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

Counts

28 → 719

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0))
(fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)
(*.f64 w0 #s(literal -1/8 binary64))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
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eval661.0ms (4.9%)

Memory: -82.5MiB live, 695.8MiB allocated
Compiler: Compiled 128 729 to 3 891 computations (97% saved)

prune197.0ms (1.5%)

Memory

-38.0MiB live, 381.2MiB allocated

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	2 310	16	2 326
Fresh	9	16	25
Picked	4	1	5
Done	0	2	2
Total	2 323	35	2 358

Accuracy

91.8%

Counts

2 358 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
	86.7%	(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal -1/4 binary64)) h) M) (/.f64 M l))) (/.f64 D d) #s(literal 1 binary64))) w0)
	82.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
	82.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	83.8%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (.f64 #s(literal -1/4 binary64) D)) l)) (/.f64 D d) #s(literal 1 binary64))))
	80.0%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
✓	82.1%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))))
	84.5%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (neg.f64 M) h) (.f64 M (.f64 D (/.f64 #s(literal 1/4 binary64) (*.f64 d l)))))) (/.f64 D d) #s(literal 1 binary64))))
	73.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	14.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (.f64 M M) D)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
	15.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (neg.f64 M) (.f64 D M))) (.f64 (neg.f64 d) d)) (.f64 #s(literal -1/4 binary64) h)))))
	16.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
✓	16.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
	14.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) (.f64 #s(literal -1/4 binary64) h)))))
	12.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 D D) l)) (.f64 #s(literal -1/4 binary64) h)))))
	15.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h))))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
	15.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
✓	72.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	76.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 M (/.f64 h l)) w0) d)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
	64.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 d (.f64 (*.f64 M (/.f64 h l)) w0)) #s(literal -1 binary64))) w0))
	57.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
	62.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
	58.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
	68.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
	9.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
	73.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) w0) d) (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (.f64 d l)) w0)))
	68.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
	60.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
	70.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
	64.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
	57.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
	64.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
	59.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
	72.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))

Compiler

Compiled 4 223 to 1 570 computations (62.8% saved)

regimes408.0ms (3%)

Memory

6.2MiB live, 677.4MiB allocated

Counts

71 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (.f64 D M) (/.f64 D (.f64 (.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 (neg.f64 d) l)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 M (/.f64 h l)) w0) d)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 (.f64 h M) l)) d) (/.f64 w0 d)) (.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 D D) (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 D D) l)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (.f64 M M) D)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (neg.f64 M) h) (.f64 M (.f64 D (/.f64 #s(literal 1/4 binary64) (*.f64 d l)))))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) (neg.f64 h)) (.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (neg.f64 M) (.f64 D M))) (.f64 (neg.f64 d) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (.f64 #s(literal -1/4 binary64) D)) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) #s(literal -1/4 binary64)) (/.f64 D d))) (/.f64 D d) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal -1/4 binary64)) h) M) (/.f64 M l))) (/.f64 D d) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 D M)) (.f64 (*.f64 (/.f64 (/.f64 D d) l) #s(literal -1/4 binary64)) h)) (neg.f64 d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 l) d) (.f64 h (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D)))) (/.f64 D d) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) w0) d) (/.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) h) (.f64 d l)) w0)))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 l h) (*.f64 d d))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (/.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) (/.f64 l h))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 d (.f64 (*.f64 M (/.f64 h l)) w0)) #s(literal -1 binary64))) w0))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 M l) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64)))))))
(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))

Calls

15 calls:

123.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
28.0ms	l
23.0ms	h
23.0ms	D
22.0ms	w0

Results

Accuracy	Segments	Branch
89.2%	1	`w0`
89.2%	1	`M`
89.2%	1	`D`
89.2%	1	`h`
89.2%	1	`l`
89.2%	1	`d`
89.2%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
89.2%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
89.2%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
89.2%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.2%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.2%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
89.2%	1	`(*.f64 M D)`
89.2%	1	`(*.f64 #s(literal 2 binary64) d)`
89.2%	1	`(/.f64 h l)`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes289.0ms (2.2%)

Memory

42.6MiB live, 703.5MiB allocated

Counts

61 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (.f64 D M) (/.f64 D (.f64 (.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 (neg.f64 d) l)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 M (/.f64 h l)) w0) d)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 (.f64 h M) l)) d) (/.f64 w0 d)) (.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 D D) (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 D D) l)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (.f64 M M) D)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (neg.f64 M) h) (.f64 M (.f64 D (/.f64 #s(literal 1/4 binary64) (*.f64 d l)))))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) (neg.f64 h)) (.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (neg.f64 M) (.f64 D M))) (.f64 (neg.f64 d) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (.f64 #s(literal -1/4 binary64) D)) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) #s(literal -1/4 binary64)) (/.f64 D d))) (/.f64 D d) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal -1/4 binary64)) h) M) (/.f64 M l))) (/.f64 D d) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 D M)) (.f64 (*.f64 (/.f64 (/.f64 D d) l) #s(literal -1/4 binary64)) h)) (neg.f64 d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))

(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal -1/4 binary64)) h) M) (/.f64 M l))) (/.f64 D d) #s(literal 1 binary64))) w0)

Calls

15 calls:

31.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
24.0ms	M
22.0ms	(*.f64 #s(literal 2 binary64) d)
21.0ms	d
21.0ms	D

Results

Accuracy	Segments	Branch
86.7%	1	`M`
86.7%	1	`l`
88.7%	2	`d`
90.2%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
90.2%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
90.2%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
86.7%	1	`(*.f64 M D)`
88.7%	2	`(*.f64 #s(literal 2 binary64) d)`
88.3%	2	`(/.f64 h l)`
86.7%	1	`w0`
86.7%	1	`D`
86.7%	1	`h`
89.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
90.6%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
90.2%	3	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes74.0ms (0.6%)

Memory

-30.2MiB live, 164.8MiB allocated

Counts

59 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (.f64 D M) (/.f64 D (.f64 (.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 (neg.f64 d) l)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 M (/.f64 h l)) w0) d)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 (.f64 h M) l)) d) (/.f64 w0 d)) (.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 D D) (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 D D) l)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (.f64 M M) D)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (neg.f64 M) h) (.f64 M (.f64 D (/.f64 #s(literal 1/4 binary64) (*.f64 d l)))))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) (neg.f64 h)) (.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (neg.f64 M) (.f64 D M))) (.f64 (neg.f64 d) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (.f64 #s(literal -1/4 binary64) D)) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) #s(literal -1/4 binary64)) (/.f64 D d))) (/.f64 D d) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal -1/4 binary64)) h) M) (/.f64 M l))) (/.f64 D d) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 D M)) (.f64 (*.f64 (/.f64 (/.f64 D d) l) #s(literal -1/4 binary64)) h)) (neg.f64 d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))

(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal -1/4 binary64)) h) M) (/.f64 M l))) (/.f64 D d) #s(literal 1 binary64))) w0)

Calls

4 calls:

25.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
18.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
13.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
13.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
89.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.1%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
89.1%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
89.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`

Compiler

Compiled 62 to 61 computations (1.6% saved)

regimes143.0ms (1.1%)

Memory

20.4MiB live, 356.5MiB allocated

Counts

55 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (.f64 D M) (/.f64 D (.f64 (.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 (neg.f64 d) l)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 M (/.f64 h l)) w0) d)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 (.f64 h M) l)) d) (/.f64 w0 d)) (.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 D D) (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 D D) l)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (.f64 M M) D)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (neg.f64 M) h) (.f64 M (.f64 D (/.f64 #s(literal 1/4 binary64) (*.f64 d l)))))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) (neg.f64 h)) (.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (neg.f64 M) (.f64 D M))) (.f64 (neg.f64 d) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (.f64 #s(literal -1/4 binary64) D)) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) #s(literal -1/4 binary64)) (/.f64 D d))) (/.f64 D d) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal -1/4 binary64)) h) M) (/.f64 M l))) (/.f64 D d) #s(literal 1 binary64))) w0)

Outputs

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal -1/4 binary64)) h) M) (/.f64 M l))) (/.f64 D d) #s(literal 1 binary64))) w0)

Calls

8 calls:

40.0ms	d
16.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
15.0ms	(*.f64 #s(literal 2 binary64) d)
15.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
14.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
86.7%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
86.7%	1	`d`
86.7%	1	`(*.f64 #s(literal 2 binary64) d)`
86.7%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.7%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
88.3%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
86.7%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 82 to 96 computations (-17.1% saved)

regimes309.0ms (2.3%)

Memory

-13.1MiB live, 422.3MiB allocated

Counts

54 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (.f64 D M) (/.f64 D (.f64 (.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 (neg.f64 d) l)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 M (/.f64 h l)) w0) d)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 (.f64 h M) l)) d) (/.f64 w0 d)) (.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 D D) (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 D D) l)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (.f64 M M) D)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (neg.f64 M) h) (.f64 M (.f64 D (/.f64 #s(literal 1/4 binary64) (*.f64 d l)))))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) (neg.f64 h)) (.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (neg.f64 M) (.f64 D M))) (.f64 (neg.f64 d) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (.f64 #s(literal -1/4 binary64) D)) l)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) #s(literal -1/4 binary64)) (/.f64 D d))) (/.f64 D d) #s(literal 1 binary64))) w0)

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (*.f64 (*.f64 h M) (*.f64 #s(literal -1/2 binary64) D)) (*.f64 l d))) #s(literal 1 binary64))))

(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (*.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64))))

Calls

15 calls:

79.0ms	l
33.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
17.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
17.0ms	D
17.0ms	M

Results

Accuracy	Segments	Branch
86.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.9%	1	`w0`
84.9%	1	`D`
87.2%	2	`h`
86.8%	2	`l`
84.9%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
84.9%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
84.9%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
87.1%	2	`(*.f64 M D)`
88.0%	2	`M`
84.9%	1	`d`
84.9%	1	`(*.f64 #s(literal 2 binary64) d)`
88.4%	3	`(/.f64 h l)`
86.8%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
86.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes84.0ms (0.6%)

Memory

-23.3MiB live, 145.6MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (.f64 D M) (/.f64 D (.f64 (.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 (neg.f64 d) l)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 M (/.f64 h l)) w0) d)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 (.f64 h M) l)) d) (/.f64 w0 d)) (.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 D D) (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 D D) l)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (.f64 M M) D)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (neg.f64 M) h) (.f64 M (.f64 D (/.f64 #s(literal 1/4 binary64) (*.f64 d l)))))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) (neg.f64 h)) (.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (neg.f64 M) (.f64 D M))) (.f64 (neg.f64 d) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) (.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 d) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))

Outputs

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (neg.f64 M) h) (*.f64 M (*.f64 D (/.f64 #s(literal 1/4 binary64) (*.f64 d l)))))) (/.f64 D d) #s(literal 1 binary64))))

Calls

5 calls:

21.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
17.0ms	M
15.0ms	(*.f64 M D)
14.0ms	h
13.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))

Results

Accuracy	Segments	Branch
86.8%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
86.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
84.7%	1	`(*.f64 M D)`
84.7%	1	`h`
84.7%	1	`M`

Compiler

Compiled 36 to 50 computations (-38.9% saved)

regimes213.0ms (1.6%)

Memory

36.2MiB live, 333.5MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (.f64 D M) (/.f64 D (.f64 (.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 (neg.f64 d) l)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 M (/.f64 (*.f64 h M) l)) w0) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 M (/.f64 h l)) w0) d)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (/.f64 (.f64 M (/.f64 (.f64 h M) l)) d) (/.f64 w0 d)) (.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 D D) (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 D D) l)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (.f64 D D) d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d))) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (/.f64 D l) (.f64 (.f64 M M) D)) (.f64 d d)) (.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))))))

Outputs

(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

15 calls:

24.0ms	(*.f64 M D)
19.0ms	d
17.0ms	h
16.0ms	D
15.0ms	l

Results

Accuracy	Segments	Branch
80.0%	1	`(*.f64 M D)`
82.9%	2	`M`
83.4%	3	`h`
80.0%	1	`w0`
80.0%	1	`D`
82.0%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
81.7%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
81.7%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
82.5%	2	`d`
82.5%	2	`(*.f64 #s(literal 2 binary64) d)`
84.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
80.0%	1	`l`
83.6%	2	`(/.f64 h l)`
84.3%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
84.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes34.0ms (0.3%)

Memory

17.3MiB live, 52.0MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (.f64 D M) (/.f64 D (.f64 (.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))

Outputs

(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

4 calls:

11.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
8.0ms	(/.f64 h l)
7.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
7.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))

Results

Accuracy	Segments	Branch
78.8%	2	`(/.f64 h l)`
83.4%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
83.4%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 47 to 51 computations (-8.5% saved)

regimes21.0ms (0.2%)

Memory

10.8MiB live, 45.3MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (.f64 D M) (/.f64 D (.f64 (.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 M M) (/.f64 (.f64 D D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))

Outputs

(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

2 calls:

11.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
8.0ms	M

Results

Accuracy	Segments	Branch
78.9%	2	`M`
82.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes16.0ms (0.1%)

Memory

-9.5MiB live, 21.9MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))

Outputs

(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 l d) d))) (*.f64 #s(literal -1/4 binary64) h)))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

1 calls:

15.0ms

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

Results

Accuracy	Segments	Branch
82.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes78.0ms (0.6%)

Memory

-14.2MiB live, 148.7MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (.f64 d d))) (.f64 M (/.f64 (.f64 h M) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d d)) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h M) l)) w0) (.f64 d d)) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 D D) M) M) (/.f64 h l)) #s(literal 1 binary64))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) M) d) (/.f64 M (*.f64 d l))) w0)))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

9 calls:

19.0ms	(*.f64 #s(literal 2 binary64) d)
8.0ms	h
8.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
8.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
7.0ms	d

Results

Accuracy	Segments	Branch
79.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
77.4%	3	`h`
80.5%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.5%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
80.5%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
79.4%	3	`d`
79.4%	3	`(*.f64 #s(literal 2 binary64) d)`
81.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 83 to 102 computations (-22.9% saved)

regimes36.0ms (0.3%)

Memory

2.8MiB live, 63.6MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 D (.f64 D (.f64 (.f64 M M) h))) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) M) (.f64 M h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 M M)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (.f64 D h)) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 (neg.f64 M) (.f64 h M))) (.f64 (*.f64 d d) (neg.f64 l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (/ (* (* M (/ (* h M) l)) w0) d) d)) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (.f64 (.f64 D h) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) (.f64 d l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 D D) h) l) (/.f64 (.f64 M M) (.f64 d d))) w0)))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

5 calls:

18.0ms	(*.f64 M D)
4.0ms	D
4.0ms	l
4.0ms	w0
4.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
77.7%	2	`D`
78.4%	2	`(*.f64 M D)`
74.7%	2	`w0`
77.0%	3	`l`
80.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 38 computations (-100% saved)

regimes24.0ms (0.2%)

Memory

-20.3MiB live, 97.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

15 calls:

3.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms	w0
2.0ms	(*.f64 M D)
1.0ms	h
1.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
72.3%	1	`w0`
72.3%	1	`l`
72.3%	1	`h`
72.3%	1	`D`
72.3%	1	`d`
72.3%	1	`(*.f64 #s(literal 2 binary64) d)`
72.3%	1	`(*.f64 M D)`
72.3%	1	`(/.f64 h l)`
72.3%	1	`M`
72.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
72.3%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
72.3%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
72.3%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
72.3%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
72.3%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch1.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.778085632385015e+255	+inf

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.4554887662344902

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch15.0ms (0.1%)

Memory

-6.3MiB live, 35.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.663493775790965e-160	1.511439164926349e-159

Samples

9.0ms	80×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 381 to 306 computations (19.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 2.0ms (30.2% of total)

ival-pow2: 2.0ms (30.2% of total)

ival-div: 1.0ms (15.1% of total)

ival-sqrt: 1.0ms (15.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.4554887662344902

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5259459695.436806	-0.45548876623449025

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5259459695.436806	-0.45548876623449025

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5259459695.436806	-0.45548876623449025

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5259459695.436806	-0.45548876623449025

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.783164406663564e+139	-5.355793771004278e+138

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.783164406663564e+139	-5.355793771004278e+138

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify150.0ms (1.1%)

Memory

12.6MiB live, 91.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	904
1	267	904
2	301	904
3	336	904
4	377	904
5	418	904
6	447	904
7	467	904
8	473	904
9	474	904

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal -1/4 binary64)) h) M) (/.f64 M l))) (/.f64 D d) #s(literal 1 binary64))) w0))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal +inf.0 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) (.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal -1/4 binary64)) h) M) (/.f64 M l))) (/.f64 D d) #s(literal 1 binary64))) w0))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 5404319552844595/4503599627370496 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal -1/4 binary64)) h) M) (/.f64 M l))) (/.f64 D d) #s(literal 1 binary64))) w0))
(if (<=.f64 M #s(literal 8864321588796067/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) (.f64 M M)) l)) (/.f64 D d) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 5404319552844595/4503599627370496 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (neg.f64 M) h) (.f64 M (.f64 D (/.f64 #s(literal 1/4 binary64) (*.f64 d l)))))) (/.f64 D d) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) (.f64 #s(literal -1/4 binary64) h))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 d d) l)) (.f64 #s(literal -1/4 binary64) h))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 M (.f64 (.f64 D M) (/.f64 D (.f64 (.f64 d d) l)))) (.f64 #s(literal -1/4 binary64) h))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) (.f64 #s(literal -1/4 binary64) h))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) M) d) (/.f64 M (.f64 d l))) w0))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (.f64 D D) h) M) (/.f64 M (.f64 (.f64 d d) l))) w0))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (.f64 (.f64 h (/.f64 M d)) (.f64 D #s(literal 1/2 binary64))) (neg.f64 l)) #s(literal 1 binary64))) w0)
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))) #s(literal 10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) d) (/.f64 h l)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (/.f64 M l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) M))) (/.f64 D d) #s(literal 1 binary64))) w0))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))) #s(literal +inf.0 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) M) (.f64 (/.f64 D d) M)) (/.f64 (neg.f64 h) l)) (/.f64 D d) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (/.f64 M l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) M))) (/.f64 D d) #s(literal 1 binary64))) w0))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))) #s(literal 5404319552844595/4503599627370496 binary64)) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (/.f64 M l) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h) M))) (/.f64 D d) #s(literal 1 binary64))) w0))
(if (<=.f64 M #s(literal 8864321588796067/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) D) (.f64 h M)) (.f64 l d))) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (.f64 (.f64 M M) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) h)) l)) (/.f64 D d) #s(literal 1 binary64))) w0))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))) #s(literal 5404319552844595/4503599627370496 binary64)) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (.f64 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 l d)) D) M) (*.f64 (neg.f64 M) h))) (/.f64 D d) #s(literal 1 binary64))) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -5000000000 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) h) (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d))))) w0) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -5000000000 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 d d) l)) (.f64 #s(literal -1/4 binary64) h)))) w0) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -5000000000 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (/.f64 D (.f64 (.f64 d d) l)) (.f64 D M)) M) (.f64 #s(literal -1/4 binary64) h)))) w0) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -5000000000 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d)) D) (.f64 #s(literal -1/4 binary64) h)))) w0) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (/.f64 M (.f64 l d)) (/.f64 (.f64 (.f64 (.f64 D D) h) M) d)) w0))) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (/.f64 M (.f64 (.f64 d d) l)) (.f64 (.f64 (.f64 D D) h) M)) w0))) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)

soundness1.4s (10.4%)

Memory

-6.5MiB live, 1 254.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	439
0	96	445
1	306	391
2	2347	381
0	9128	367
0	683	37436
1	2352	37268
0	8503	36236
0	626	7690
1	2185	7668
0	8475	7462
0	80	638
0	123	638
1	402	618
2	2885	618
0	8155	618
0	79	604
0	122	594
1	446	594
2	3012	584
0	8797	584
0	656	35991
1	2273	35761
0	8171	34713
0	17	69
0	26	69
1	82	69
2	550	69
3	7047	69
0	8635	69

Stop Event

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

Compiler

Compiled 1 825 to 1 008 computations (44.8% saved)

preprocess240.0ms (1.8%)

Memory

37.4MiB live, 349.7MiB allocated

Remove

(negabs w0)

(abs d)

Compiler

Compiled 5 540 to 2 716 computations (51% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	188	904
1	267	904
2	301	904
3	336	904
4	377	904
5	418	904
6	447	904
7	467	904
8	473	904
9	474	904

Iter	Nodes	Cost
0	188	904
1	267	904
2	301	904
3	336	904
4	377	904
5	418	904
6	447	904
7	467	904
8	473	904
9	474	904

start0.0ms (0%)

analyze454.0ms (3.4%)

sample2.6s (19.1%)

explain249.0ms (1.9%)

preprocess159.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify184.0ms (1.4%)

localize41.0ms (0.3%)

series103.0ms (0.8%)

simplify190.0ms (1.4%)

rewrite172.0ms (1.3%)

eval155.0ms (1.2%)

prune63.0ms (0.5%)

simplify145.0ms (1.1%)

localize226.0ms (1.7%)

series274.0ms (2%)

simplify271.0ms (2%)

rewrite239.0ms (1.8%)

eval382.0ms (2.9%)

prune179.0ms (1.3%)

simplify149.0ms (1.1%)

localize208.0ms (1.6%)

series277.0ms (2.1%)

simplify274.0ms (2%)

rewrite199.0ms (1.5%)

eval477.0ms (3.6%)

prune224.0ms (1.7%)

simplify146.0ms (1.1%)

localize273.0ms (2%)

series289.0ms (2.2%)

simplify248.0ms (1.9%)

rewrite204.0ms (1.5%)

eval661.0ms (4.9%)

prune197.0ms (1.5%)

regimes408.0ms (3%)

regimes289.0ms (2.2%)

regimes74.0ms (0.6%)

regimes143.0ms (1.1%)

regimes309.0ms (2.3%)

regimes84.0ms (0.6%)

regimes213.0ms (1.6%)

regimes34.0ms (0.3%)

regimes21.0ms (0.2%)

regimes16.0ms (0.1%)

regimes78.0ms (0.6%)

regimes36.0ms (0.3%)

regimes24.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify150.0ms (1.1%)

soundness1.4s (10.4%)

preprocess240.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	188	904
1	267	904
2	301	904
3	336	904
4	377	904
5	418	904
6	447	904
7	467	904
8	473	904
9	474	904