Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.1s (7%)

Memory

24.8MiB live, 779.0MiB allocated; 223ms collecting garbage

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)

sample2.5s (15.7%)

Memory

75.6MiB live, 1 802.0MiB allocated; 272ms collecting garbage

Samples

1.3s	8 256×	0	valid
424.0ms	2 671×	0	invalid

Precisions

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

ival-mult: 468.0ms (42.3% of total)

ival-div: 261.0ms (23.6% of total)

ival-pow2: 161.0ms (14.5% of total)

ival-sub: 93.0ms (8.4% of total)

ival-sqrt: 91.0ms (8.2% of total)

exact: 14.0ms (1.3% of total)

ival-true: 10.0ms (0.9% of total)

ival-assert: 5.0ms (0.5% of total)

adjust: 4.0ms (0.4% of total)

Bogosity

explain283.0ms (1.8%)

Memory

-8.9MiB live, 236.0MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
41	-	2	(3.6332440314023375e+79 1.7271756642046537e+144 5.644195186164486e-146 0.5911783830591373 -1.0208903974029578e-13 4.183921430152398e+156)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
28	-	1	(1.531495056087156e-81 1.2921954421793212e-153 8.296949378205852e-163 -2.3648791134503146e+266 0.0009190349399332927 -2.1791052577176492e-243)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
24	-	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))))`
9	-	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	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`w0`
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	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`M`
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	58
↳	`(-.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	58
↳	`(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	34
↳	`(*.f64 M D)`	overflow	34
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	31
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	58
↳	`(/.f64 h l)`	overflow	32
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	14	0
↳	`(*.f64 M D)`	overflow	34
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	10	0
`*.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**	9	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	3	0
↳	`(*.f64 M D)`	underflow	42
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	95
↳	`(*.f64 M D)`	underflow	42
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	51
↳	`(/.f64 h l)`	overflow	32

Confusion

	Predicted +	Predicted -
+	39	9
-	11	197

Precision

0.78

Recall

0.8125

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	9
-	11	0	197

Precision?

0.78

Recall?

0.8125

Freqs

test

number	freq
0	206
1	38
2	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

85.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 13.0ms (38% of total)

ival-div: 8.0ms (23.4% of total)

ival-pow2: 6.0ms (17.5% of total)

ival-sub: 3.0ms (8.8% of total)

ival-sqrt: 3.0ms (8.8% of total)

exact: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess230.0ms (1.4%)

Memory

-52.8MiB live, 197.8MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	501
1	461	492
2	1413	492
3	4009	492
0	17	18
0	26	18
1	47	18
2	112	18
3	816	18
4	4616	18
5	6521	18
0	8357	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 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 (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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune10.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.0%	(.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)))))

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify127.0ms (0.8%)

Memory

17.4MiB live, 149.2MiB allocated; 18ms collecting garbage

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	112	95
3	816	95
4	4616	95
5	6521	95
0	8357	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 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 (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 (-.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 (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)))
(-.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)))
(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 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

localize52.0ms (0.3%)

Memory

20.1MiB live, 72.8MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.169415597372461	(.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	5.563837264915193	(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	6.614175401674718	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	9.502573464840792	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

42.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

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

ival-mult: 10.0ms (50.2% of total)

ival-div: 4.0ms (20.1% of total)

ival-pow2: 3.0ms (15.1% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series77.0ms (0.5%)

Memory

-9.2MiB live, 82.5MiB allocated; 9ms collecting garbage

Counts

5 → 90

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
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	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)))
8.0ms	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)))
6.0ms	w0	@	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)))
6.0ms	M	@	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	d	@	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)))

simplify179.0ms (1.1%)

Memory

10.2MiB live, 232.4MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	724	5980
1	2526	5924
0	8349	5778

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 90

Calls

Call 1

Inputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* 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))))))))))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* -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)))))))))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (* -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)))))))))))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (/ (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)))
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#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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))))))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
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Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 w0))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 h h)) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (-.f64 w0 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 d)) (.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (.f64 h h) w0) l) (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) d) (/.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)) w0) (.f64 h h)) (pow.f64 d #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) w0) (pow.f64 h #s(literal 3 binary64))) (.f64 (pow.f64 d #s(literal 6 binary64)) l)))) (neg.f64 l))) l)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 M M) d) (/.f64 h d)) (.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (.f64 (/.f64 (.f64 h h) l) (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) l)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) d) (/.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) (pow.f64 d #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)))) (neg.f64 l))) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M)) D (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 d d) D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 d d)) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 d w0) d) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (.f64 D M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 d d) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (.f64 d d) (.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d))))

rewrite258.0ms (1.6%)

Memory

36.1MiB live, 219.0MiB allocated; 187ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	26	69
1	75	69
2	410	69
3	7218	69
0	8457	66

Stop Event

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

Counts

5 → 339

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
(.f64 (.f64 w0 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
(.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(/.f64 (.f64 w0 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))))
(/.f64 (.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))))
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(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
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(.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (.f64 D M) (*.f64 #s(literal 2 binary64) (pow.f64 d #s(literal 3 binary64)))) (fma.f64 d d #s(literal 0 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 M) D) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (.f64 (neg.f64 M) D) (*.f64 #s(literal 2 binary64) (pow.f64 d #s(literal 3 binary64)))) (fma.f64 d d #s(literal 0 binary64)))
(*.f64 (neg.f64 (/.f64 M d)) (/.f64 D #s(literal 2 binary64)))
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64)))
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 M #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d))
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64)))
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 D #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d))
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d))
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D d))
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M d))
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal 2 binary64)))
(*.f64 (neg.f64 (/.f64 D #s(literal 2 binary64))) (/.f64 M d))
(*.f64 (neg.f64 (/.f64 D d)) (/.f64 M #s(literal 2 binary64)))
(*.f64 (neg.f64 (/.f64 M #s(literal 2 binary64))) (/.f64 D d))
(.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fabs.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (fabs.f64 (/.f64 D #s(literal 2 binary64))) (fabs.f64 (/.f64 M d)))
(*.f64 (fabs.f64 (/.f64 M d)) (fabs.f64 (/.f64 D #s(literal 2 binary64))))
(*.f64 (fabs.f64 (/.f64 D d)) (fabs.f64 (/.f64 M #s(literal 2 binary64))))
(*.f64 (fabs.f64 (/.f64 M #s(literal 2 binary64))) (fabs.f64 (/.f64 D d)))
(*.f64 (fabs.f64 D) (fabs.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64))) (fabs.f64 M))
(*.f64 (fabs.f64 M) (fabs.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 (/.f64 M #s(literal 2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 M d) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 M d) #s(literal 1 binary64)) (pow.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 D #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) (sqrt.f64 (.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 D #s(literal 2 binary64)) (neg.f64 (/.f64 M d)))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M (neg.f64 d)))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 M) d))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(*.f64 (/.f64 M d) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 M d) (/.f64 (neg.f64 D) #s(literal 2 binary64)))
(*.f64 (/.f64 M d) (neg.f64 (/.f64 D #s(literal 2 binary64))))
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))
(*.f64 (neg.f64 M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (neg.f64 D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (neg.f64 M))
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
(*.f64 (/.f64 D d) (/.f64 M #s(literal -2 binary64)))
(*.f64 (/.f64 D d) (/.f64 (neg.f64 M) #s(literal 2 binary64)))
(*.f64 (/.f64 D d) (neg.f64 (/.f64 M #s(literal 2 binary64))))
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D (neg.f64 d)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 (neg.f64 D) d))
(*.f64 (/.f64 M #s(literal 2 binary64)) (neg.f64 (/.f64 D d)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(*.f64 D (neg.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64))))
(*.f64 D (/.f64 (/.f64 M d) #s(literal 2 binary64)))
(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1/2 binary64))
(pow.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 D M) (neg.f64 d)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (neg.f64 D)) (neg.f64 d))
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64))) (fabs.f64 (neg.f64 d)))
(/.f64 (fabs.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D)) (fabs.f64 d))
(/.f64 (fabs.f64 (.f64 (neg.f64 M) D)) (fabs.f64 (.f64 #s(literal -2 binary64) d)))
(/.f64 (fabs.f64 (.f64 D M)) (fabs.f64 (.f64 #s(literal -2 binary64) d)))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D))) (exp.f64 (log.f64 d)))
(/.f64 (exp.f64 (log.f64 (.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (.f64 #s(literal -2 binary64) d))))
(/.f64 (exp.f64 (log.f64 (.f64 D M))) (exp.f64 (log.f64 (.f64 #s(literal -2 binary64) d))))
(/.f64 (*.f64 (/.f64 D d) M) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) (neg.f64 (neg.f64 d)))
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) (neg.f64 d))
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) d)
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) (neg.f64 d))
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d)
(/.f64 (.f64 (neg.f64 M) D) (.f64 #s(literal -2 binary64) d))
(/.f64 (.f64 D M) (.f64 #s(literal -2 binary64) d))
(neg.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))
(fabs.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(exp.f64 (log.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (cosh.f64 (log.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sinh.f64 (log.f64 (.f64 (/.f64 (.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))))

eval106.0ms (0.7%)

Memory: -45.6MiB live, 154.9MiB allocated; 78ms collecting garbage
Compiler: Compiled 15 385 to 2 444 computations (84.1% saved)

prune33.0ms (0.2%)

Memory

-2.2MiB live, 51.8MiB allocated; 18ms collecting garbage

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	412	16	428
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	412	17	429

Accuracy

90.7%

Counts

429 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
	77.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	73.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)) (*.f64 (neg.f64 l) d)))))
▶	64.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)))))
	70.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)))))
▶	81.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	69.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64))) h) (.f64 (*.f64 #s(literal -2 binary64) d) l)))))
▶	83.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	82.0%	(.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)))))
	82.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))))))
	63.8%	(.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)))))
	64.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
	56.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d))))))
▶	14.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (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))))))
	53.8%	(.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))))
	52.6%	#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) l) (/.f64 w0 (.f64 d d))) w0))
▶	67.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 888 to 733 computations (17.5% saved)

simplify126.0ms (0.8%)

Memory

27.6MiB live, 217.2MiB allocated; 21ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (*.f64 d d) l)))))
cost-diff	2	(/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
cost-diff	1	(.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D))
cost-diff	6	(/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))
cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))
cost-diff	0	#s(approx (- 1 (* (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))))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (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)))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (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))))))
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)
cost-diff	0	(.f64 (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	541
0	99	505
1	199	505
2	672	504
3	4980	504
0	8299	504

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

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

localize242.0ms (1.5%)

Memory

-27.3MiB live, 399.7MiB allocated; 109ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	4.678709528812899	(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h)
accuracy	5.563837264915193	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l))))
accuracy	9.067808945013068	(.f64 (.f64 d d) l)
accuracy	15.970022695174872	(/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l))
accuracy	4.662637912820489	(/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))
accuracy	5.375839072500562	(*.f64 (/.f64 h l) D)
accuracy	5.563837264915193	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))
accuracy	9.20303599740626	(.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))
accuracy	8.204779456294622	(/.f64 h (*.f64 d d))
accuracy	12.723677960319652	(.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy	16.31263383002944	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))
accuracy	41.10803228052508	#s(approx (- 1 (* (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))))
accuracy	20.77896270422293	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)
accuracy	2.169415597372461	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy	5.289221624129038	(*.f64 (/.f64 M d) D)
accuracy	5.563837264915193	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy	9.502573464840792	(.f64 (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))

Samples

184.0ms

256×

valid

Compiler

Compiled 487 to 57 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 41.0ms (46.4% of total)

ival-div: 22.0ms (24.9% of total)

ival-sqrt: 9.0ms (10.2% of total)

ival-pow2: 9.0ms (10.2% of total)

ival-sub: 6.0ms (6.8% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series123.0ms (0.8%)

Memory

11.4MiB live, 244.5MiB allocated; 31ms collecting garbage

Counts

24 → 355

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	D	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)) (* w0 (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))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (* d d) l) (* (pow (* (/ M 2) D) 2) h))
10.0ms	h	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)) (* w0 (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))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (* d d) l) (* (pow (* (/ M 2) D) 2) h))
9.0ms	d	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)) (* w0 (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))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (* d d) l) (* (pow (* (/ M 2) D) 2) h))
8.0ms	D	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)) (* w0 (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))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (* d d) l) (* (pow (* (/ M 2) D) 2) h))
7.0ms	M	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)) (* w0 (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))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)) (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d)))) (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (* (* d d) l) (* (pow (* (/ M 2) D) 2) h))

simplify434.0ms (2.7%)

Memory

40.7MiB live, 404.1MiB allocated; 131ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1036	24258
1	2942	24040
0	8681	23456

Stop Event

1×	iter limit
1×	node limit

Counts

355 → 355

Calls

Call 1

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

Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l))) #s(literal 1 binary64))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l))) #s(literal 1 binary64))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l))) #s(literal 1 binary64))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l))) #s(literal 1 binary64))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 D D) h) d) (/.f64 w0 d)) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 h h) w0) (.f64 M M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (/.f64 (.f64 (.f64 (.f64 D D) h) w0) l) (.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 h h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) w0) (.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (.f64 M M))) (.f64 M M) w0))
#s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (*.f64 M M) l))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 h d) (/.f64 (.f64 D D) d)) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 h M) (.f64 h M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M) #s(literal 1 binary64)))
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#s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) #s(hole binary64 1))
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#s(approx (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (*.f64 M M) l))) #s(literal 1 binary64)))
#s(approx (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 d d)) (.f64 h (/.f64 (.f64 M M) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 D D) h) d) (/.f64 w0 d)) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (.f64 h h) w0) (.f64 M M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M) w0))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (*.f64 M M) l))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 h d) (/.f64 (.f64 D D) d)) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 h M) (.f64 h M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M) #s(literal 1 binary64)))
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#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* (* (/ h l) D) (/ (/ M d) 2)) (* (neg M) D)) (* -2 d))))) w0)
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#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) w0)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 d d) w0)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 d d) D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 d d)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 d d)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (.f64 d d) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h (/.f64 (*.f64 M M) l))) d) (/.f64 #s(literal 1/4 binary64) d))))

rewrite334.0ms (2.1%)

Memory

-6.2MiB live, 178.7MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	407
0	99	378
1	296	378
2	1931	378
0	8122	378

Stop Event

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

Counts

24 → 549

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (neg.f64 (/.f64 h l)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3/2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)) (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 h l) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 h l) #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)) (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)) (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (/.f64 h l)) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (/.f64 h l)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (/.f64 h l)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 h l) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 h l) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)) (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))))
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(-.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)) (fma.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)) (fma.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))
(+.f64 (.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 h l)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal -4 binary64))) (/.f64 (.f64 (neg.f64 M) D) d)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 (/.f64 h l) D))) (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64))) (/.f64 (/.f64 h (*.f64 d d)) l)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l)))
(*.f64 D (/.f64 M d))
(*.f64 (/.f64 M d) D)
(*.f64 M (/.f64 D d))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (neg.f64 M) D) (neg.f64 d))
(/.f64 (*.f64 D M) d)
(.f64 (.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
(.f64 (/.f64 h (neg.f64 d)) (/.f64 (/.f64 (.f64 (neg.f64 M) M) l) d))
(.f64 (/.f64 h d) (/.f64 (/.f64 (.f64 M M) l) d))
(.f64 (/.f64 h d) (/.f64 (.f64 M M) (*.f64 l d)))
(.f64 (/.f64 (.f64 M M) l) (/.f64 h (*.f64 d d)))
(.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l))
(.f64 (/.f64 h l) (/.f64 (.f64 M M) (*.f64 d d)))
(.f64 h (/.f64 (/.f64 (.f64 M M) l) (*.f64 d d)))
(.f64 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l)))
(.f64 M (.f64 (/.f64 M l) (/.f64 h (*.f64 d d))))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 (.f64 M M) l) h) (neg.f64 d))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 (.f64 M M) l) h) d)) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 M M) h) d)) (neg.f64 (*.f64 l d)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 M) M) (/.f64 h (*.f64 d d)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (/.f64 h d) (/.f64 (.f64 M M) l))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (neg.f64 h) (/.f64 (.f64 M M) l))) (*.f64 d d))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 M M) l) (/.f64 h d))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 M M) l) (neg.f64 h))) (*.f64 d d))
(/.f64 (neg.f64 (.f64 (/.f64 h (.f64 d d)) (*.f64 (neg.f64 M) M))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 (.f64 M M) l) h))) (*.f64 d d))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 M M) h))) (neg.f64 (.f64 (.f64 (neg.f64 d) d) l)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 M) M) (/.f64 h d))) (neg.f64 (*.f64 (neg.f64 l) d)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 M) M) (neg.f64 h))) (neg.f64 (.f64 (neg.f64 l) (.f64 (neg.f64 d) d))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 M) M) h)) (neg.f64 (.f64 (.f64 (neg.f64 d) d) l)))
(/.f64 (neg.f64 (.f64 (.f64 M M) (/.f64 h d))) (neg.f64 (*.f64 l d)))
(/.f64 (neg.f64 (.f64 (.f64 M M) (neg.f64 h))) (neg.f64 (.f64 (.f64 (neg.f64 d) d) l)))
(/.f64 (neg.f64 (.f64 (/.f64 h d) (.f64 (neg.f64 M) M))) (neg.f64 (*.f64 d (neg.f64 l))))
(/.f64 (neg.f64 (.f64 (neg.f64 h) (.f64 (neg.f64 M) M))) (neg.f64 (.f64 (.f64 (neg.f64 d) d) (neg.f64 l))))
(/.f64 (neg.f64 (.f64 (/.f64 h d) (.f64 M M))) (neg.f64 (*.f64 l d)))
(/.f64 (neg.f64 (.f64 (neg.f64 h) (.f64 M M))) (neg.f64 (.f64 (.f64 (neg.f64 d) d) l)))
(/.f64 (neg.f64 (.f64 h (.f64 (neg.f64 M) M))) (neg.f64 (.f64 (.f64 (neg.f64 d) d) l)))
(/.f64 (/.f64 (.f64 (/.f64 (.f64 M M) l) h) (neg.f64 d)) (neg.f64 d))
(/.f64 (/.f64 (.f64 (/.f64 (.f64 M M) l) h) d) d)
(/.f64 (/.f64 (.f64 (.f64 M M) h) d) (*.f64 l d))
(/.f64 (.f64 (.f64 (neg.f64 M) M) (/.f64 h (*.f64 d d))) (neg.f64 l))
(/.f64 (.f64 (/.f64 h d) (/.f64 (.f64 M M) l)) d)
(/.f64 (.f64 (neg.f64 h) (/.f64 (.f64 M M) l)) (*.f64 (neg.f64 d) d))
(/.f64 (.f64 (/.f64 (.f64 M M) l) (/.f64 h d)) d)
(/.f64 (.f64 (/.f64 (.f64 M M) l) (neg.f64 h)) (*.f64 (neg.f64 d) d))
(/.f64 (.f64 (/.f64 h (.f64 d d)) (*.f64 (neg.f64 M) M)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 M M) l) h)) (*.f64 (neg.f64 d) d))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 M M) h)) (.f64 (.f64 (neg.f64 d) d) l))
(/.f64 (.f64 (.f64 (neg.f64 M) M) (/.f64 h d)) (*.f64 (neg.f64 l) d))
(/.f64 (.f64 (.f64 (neg.f64 M) M) (neg.f64 h)) (.f64 (neg.f64 l) (.f64 (neg.f64 d) d)))
(/.f64 (.f64 (.f64 (neg.f64 M) M) h) (.f64 (.f64 (neg.f64 d) d) l))
(/.f64 (.f64 (.f64 M M) (/.f64 h d)) (*.f64 l d))
(/.f64 (.f64 (.f64 M M) (neg.f64 h)) (.f64 (.f64 (neg.f64 d) d) l))
(/.f64 (.f64 (/.f64 h d) (.f64 (neg.f64 M) M)) (*.f64 d (neg.f64 l)))
(/.f64 (.f64 (/.f64 h d) (.f64 M M)) (*.f64 l d))
(/.f64 (.f64 (neg.f64 h) (.f64 (neg.f64 M) M)) (.f64 (.f64 (neg.f64 d) d) (neg.f64 l)))
(/.f64 (.f64 (neg.f64 h) (.f64 M M)) (.f64 (.f64 (neg.f64 d) d) l))
(/.f64 (.f64 h (.f64 (neg.f64 M) M)) (.f64 (.f64 (neg.f64 d) d) l))
(/.f64 (.f64 (/.f64 (.f64 M M) l) h) (*.f64 d d))
(/.f64 (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M) l)
(/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 d d) l))
(/.f64 (neg.f64 (/.f64 h (neg.f64 d))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (/.f64 h d))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 h))) (*.f64 (neg.f64 d) d))
(/.f64 (/.f64 h (neg.f64 d)) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 h d)) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 h)) (*.f64 d d))
(/.f64 (/.f64 h d) d)
(/.f64 (neg.f64 h) (*.f64 (neg.f64 d) d))
(/.f64 h (*.f64 d d))
(neg.f64 (/.f64 h (*.f64 (neg.f64 d) d)))
(.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (/.f64 h l)) D)
(.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 (/.f64 h l) D))
(.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))
(.f64 (/.f64 h l) (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))
(.f64 D (.f64 (/.f64 h l) (/.f64 (/.f64 M d) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 (/.f64 h l) D))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 M (.f64 (/.f64 h l) D))) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (.f64 (.f64 h D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (neg.f64 h) (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 h (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 h D))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (neg.f64 M) d))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 M d)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 h D))) (neg.f64 (*.f64 #s(literal -2 binary64) l)))
(/.f64 (neg.f64 (.f64 (/.f64 M d) (.f64 h D))) (neg.f64 (*.f64 #s(literal 2 binary64) l)))
(/.f64 (neg.f64 (.f64 M (.f64 h D))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) d) l)))
(/.f64 (neg.f64 (.f64 (.f64 h D) (/.f64 (neg.f64 M) d))) (neg.f64 (*.f64 l #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 h l) D) M)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (.f64 (.f64 h D) (/.f64 M d))) (neg.f64 (*.f64 l #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 h D) M)) (neg.f64 (.f64 l (.f64 #s(literal 2 binary64) d))))
(/.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 (/.f64 h l) D)) #s(literal -2 binary64))
(/.f64 (.f64 M (.f64 (/.f64 h l) D)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 h D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) l)
(/.f64 (.f64 (neg.f64 h) (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64))) (neg.f64 l))
(/.f64 (.f64 h (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64))) l)
(/.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 h D)) l)
(/.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 (neg.f64 M) d)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (/.f64 h l) D) M) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 M d))) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 h D)) (*.f64 #s(literal -2 binary64) l))
(/.f64 (.f64 (/.f64 M d) (.f64 h D)) (*.f64 #s(literal 2 binary64) l))
(/.f64 (.f64 M (.f64 h D)) (.f64 (.f64 #s(literal 2 binary64) d) l))
(/.f64 (.f64 (.f64 h D) (/.f64 (neg.f64 M) d)) (*.f64 l #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 h D) (/.f64 M d)) (*.f64 l #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 (.f64 (/.f64 h l) D) (/.f64 M d)) #s(literal 2 binary64))
(*.f64 (/.f64 h l) D)
(*.f64 h (/.f64 D l))
(*.f64 D (/.f64 h l))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 h D))) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 l))
(/.f64 (*.f64 D (neg.f64 h)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 l))
(/.f64 (*.f64 h D) l)
(.f64 (.f64 l (neg.f64 d)) (neg.f64 d))
(.f64 (.f64 l d) d)
(.f64 (neg.f64 d) (.f64 (neg.f64 d) l))
(.f64 (.f64 d d) l)
(.f64 l (.f64 d d))
(.f64 d (.f64 l d))
(.f64 (.f64 h (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 D D))
(.f64 (.f64 h (.f64 (/.f64 M #s(literal 2 binary64)) D)) (.f64 (/.f64 M #s(literal 2 binary64)) D))
(.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 D D) h))
(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h)
(.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) h))
(.f64 h (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)))

eval150.0ms (0.9%)

Memory: 4.2MiB live, 151.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 22 368 to 2 636 computations (88.2% saved)

prune50.0ms (0.3%)

Memory

5.2MiB live, 52.4MiB allocated; 1ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	484	13	497
Fresh	6	5	11
Picked	4	1	5
Done	1	0	1
Total	495	19	514

Accuracy

91.5%

Counts

514 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
	82.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h D) (.f64 (.f64 (neg.f64 M) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) l) (.f64 #s(literal -2 binary64) d)))))
▶	87.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h) l))))
	84.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 h D)) (.f64 #s(literal 2 binary64) l)) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
▶	81.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) D) M) (.f64 #s(literal 2 binary64) d)) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
	80.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	70.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)))))
	68.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) h)) (.f64 (*.f64 d d) l)))))
	80.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 M) (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 (/.f64 h l) D))) (/.f64 D (.f64 #s(literal -2 binary64) d))))))
▶	15.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l)))))))
▶	63.8%	(.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)))))
	19.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D))))
	17.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (.f64 l d))))))
	14.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) (.f64 (*.f64 d d) l)))))))
	55.3%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (*.f64 M M) l))) #s(literal 1 binary64))))
	53.8%	(.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))))
	63.5%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
▶	52.6%	#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) l) (/.f64 w0 (.f64 d d))) w0))
✓	67.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 1 114 to 886 computations (20.5% saved)

simplify219.0ms (1.4%)

Memory

-2.7MiB live, 231.5MiB allocated; 17ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) D) M) (.f64 #s(literal 2 binary64) d)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) D) M) (.f64 #s(literal 2 binary64) d)) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
cost-diff	1	(.f64 (/.f64 (.f64 (.f64 (/.f64 h l) D) M) (.f64 #s(literal 2 binary64) d)) (*.f64 (neg.f64 M) D))
cost-diff	6	(/.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) D) M) (.f64 #s(literal 2 binary64) d)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))
cost-diff	0	(.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l))))
cost-diff	0	#s(approx (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l)))))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l))))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l)))))))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(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))))
cost-diff	0	(.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)))))
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 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h) l)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h) l))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h) l)))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h) l))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	709
0	125	681
1	266	675
2	1104	674
3	5431	674
0	8902	674

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

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

localize327.0ms (2%)

Memory

-5.3MiB live, 290.1MiB allocated; 65ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.662637912820489	(/.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) D) M) (.f64 #s(literal 2 binary64) d)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))
accuracy	5.375839072500562	(*.f64 (/.f64 h l) D)
accuracy	5.563837264915193	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 (/.f64 h l) D) M) (.f64 #s(literal 2 binary64) d)) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))
accuracy	7.724749260625657	(/.f64 (.f64 (.f64 (/.f64 h l) D) M) (*.f64 #s(literal 2 binary64) d))
accuracy	8.132961271731777	(/.f64 (*.f64 M M) l)
accuracy	14.32536748619847	(.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l)))
accuracy	17.158018343298433	(.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l))))
accuracy	41.10803228052508	#s(approx (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (.f64 h (/.f64 (.f64 M M) l)))))
accuracy	5.563837264915193	(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))))
accuracy	6.713393732941921	(.f64 (.f64 M M) D)
accuracy	9.067808945013068	(.f64 (.f64 d d) l)
accuracy	16.68428892660481	(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l))
accuracy	9.503801369935394	(/.f64 w0 (*.f64 d d))
accuracy	11.647327950744772	#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	12.272746039941707	(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	12.837048557939442	(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d)))
accuracy	3.770869194862304	(.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h)
accuracy	3.932750905035207	(/.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h) l)
accuracy	5.289221624129038	(*.f64 D (/.f64 M d))
accuracy	5.563837264915193	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h) l)))

Samples

270.0ms

256×

valid

Compiler

Compiled 581 to 72 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-mult: 138.0ms (68.2% of total)

ival-div: 38.0ms (18.8% of total)

ival-sub: 8.0ms (4% of total)

ival-pow2: 7.0ms (3.5% of total)

ival-sqrt: 6.0ms (3% of total)

ival-add: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

adjust: 0.0ms (0% of total)

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

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

series258.0ms (1.6%)

Memory

19.7MiB live, 202.3MiB allocated; 40ms collecting garbage

Counts

31 → 380

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
48.0ms	h	@	-inf	((* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l))) (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)) (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l) (* 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))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (* (/ -1/4 (* d d)) (* (* D D) (* h (/ (* M M) l)))) (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)) (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)))) (* D (/ M d)) (* (pow (/ (* D (/ M d)) 2) 2) h) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (* D D) (* h (/ (* M M) l))) (/ (* M M) l) (/ (* (* (/ h l) D) M) (* 2 d)) (* (/ h l) D))
41.0ms	d	@	inf	((* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l))) (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)) (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l) (* 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))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (* (/ -1/4 (* d d)) (* (* D D) (* h (/ (* M M) l)))) (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)) (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)))) (* D (/ M d)) (* (pow (/ (* D (/ M d)) 2) 2) h) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (* D D) (* h (/ (* M M) l))) (/ (* M M) l) (/ (* (* (/ h l) D) M) (* 2 d)) (* (/ h l) D))
37.0ms	M	@	0	((* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l))) (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)) (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l) (* 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))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (* (/ -1/4 (* d d)) (* (* D D) (* h (/ (* M M) l)))) (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)) (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)))) (* D (/ M d)) (* (pow (/ (* D (/ M d)) 2) 2) h) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (* D D) (* h (/ (* M M) l))) (/ (* M M) l) (/ (* (* (/ h l) D) M) (* 2 d)) (* (/ h l) D))
26.0ms	D	@	inf	((* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l))) (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)) (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l) (* 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))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (* (/ -1/4 (* d d)) (* (* D D) (* h (/ (* M M) l)))) (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)) (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)))) (* D (/ M d)) (* (pow (/ (* D (/ M d)) 2) 2) h) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (* D D) (* h (/ (* M M) l))) (/ (* M M) l) (/ (* (* (/ h l) D) M) (* 2 d)) (* (/ h l) D))
12.0ms	D	@	-inf	((* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l))) (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)) (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l) (* 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))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (* (/ -1/4 (* d d)) (* (* D D) (* h (/ (* M M) l)))) (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)) (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)))) (* D (/ M d)) (* (pow (/ (* D (/ M d)) 2) 2) h) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (* (* D D) (* h (/ (* M M) l))) (/ (* M M) l) (/ (* (* (/ h l) D) M) (* 2 d)) (* (/ h l) D))

simplify441.0ms (2.8%)

Memory

-9.3MiB live, 258.9MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1119	25321
1	3181	25067
0	8422	24440

Stop Event

1×	iter limit
1×	node limit

Counts

380 → 380

Calls

Call 1

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

Outputs
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) #s(hole binary64 (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))))
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#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
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#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) (.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0))
#s(approx (* (/ (* (* M M) h) l) (/ w0 (* d d))) #s(hole binary64 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))))
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#s(approx (/ w0 (* d d)) #s(hole binary64 (/ w0 (pow d 2))))
#s(approx (/ w0 (* d d)) (/.f64 w0 (*.f64 d d)))
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#s(approx (* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) w0)
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
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#s(approx (* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) #s(hole binary64 (+ 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)))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (.f64 h h) w0) (.f64 M M)) (.f64 l l))) #s(literal -1/128 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 M M) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) #s(hole binary64 (+ 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)))))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) w0) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 M M) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 M M) w0))
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#s(approx (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l))) (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h M) (.f64 h M)) (.f64 l l))) #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 (.f64 D D) h) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)))
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#s(approx (sqrt (- 1 (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 h h) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 M M) (/.f64 (.f64 (.f64 (.f64 D D) h) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l))) (.f64 M M) #s(literal 1 binary64)))
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#s(approx (/ (* (pow (/ (* D (/ M d)) 2) 2) h) l) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) w0) (.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l l))) #s(literal -1/128 binary64))) (.f64 M M) (.f64 (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 M M) w0))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) #s(hole binary64 w0))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) w0)
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
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#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(hole binary64 (+ 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)))))))))))
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#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 D D)) (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) #s(literal 1 binary64)))
#s(approx (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) #s(hole binary64 (/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))))
#s(approx (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (fma.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 D D)) (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d d) w0) D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) w0)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 d d) w0)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 d d) D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 d d)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 d d)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (.f64 d d) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) #s(hole binary64 (/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (- 1 (/ (* (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 D D)) (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d d) w0) D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 d d) w0)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 d d) w0)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (.f64 d d) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d))
#s(approx (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)))) #s(hole binary64 (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)))
#s(approx (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 d d) D)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 d d)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)))) #s(hole binary64 (/ (+ (* (* 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)))
#s(approx (sqrt (- 1 (/ (* (/ (* (* (/ h l) D) M) (* 2 d)) (* (neg M) D)) (* -2 d)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 d d)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (.f64 d d) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))

rewrite370.0ms (2.3%)

Memory

26.9MiB live, 181.8MiB allocated; 179ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	552
0	125	531
1	396	503
2	2740	502
0	8262	500

Stop Event

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

Counts

31 → 679

Calls

Call 1

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

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

eval293.0ms (1.8%)

Memory: -24.2MiB live, 207.4MiB allocated; 42ms collecting garbage
Compiler: Compiled 50 082 to 4 280 computations (91.5% saved)

prune98.0ms (0.6%)

Memory

1.5MiB live, 102.5MiB allocated; 12ms collecting garbage

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	936	26	962
Fresh	5	8	13
Picked	4	1	5
Done	0	1	1
Total	945	36	981

Accuracy

91.5%

Counts

981 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) M) (.f64 M D)) (.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)))))
	82.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h D) (.f64 (.f64 (neg.f64 M) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) l) (.f64 #s(literal -2 binary64) d)))))
	86.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h) l))))
	84.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 h D)) (.f64 #s(literal 2 binary64) l)) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
▶	89.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) h)) l))))
▶	80.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	70.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)))))
	68.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) h)) (.f64 (*.f64 d d) l)))))
	82.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) M) (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) d)))))
	67.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) M) D) (neg.f64 M)) (.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal -2 binary64) d))))))
	14.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (/ (* D (/ M d)) 2) 2) h) l)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (*.f64 d d) l))))))
	16.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) D) D)))))
	67.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) D) (.f64 (/.f64 D (.f64 (.f64 d d) l)) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
	81.0%	(.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 (.f64 M M) d) (/.f64 D d)) D) l) #s(literal 1 binary64)))))
	68.9%	(.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 l d) d)) #s(literal 1 binary64)))))
	65.8%	(.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 D) M) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	78.9%	(.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 D (*.f64 l d))) #s(literal 1 binary64)))))
	69.8%	(.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 M (.f64 (.f64 M D) (/.f64 D (.f64 (.f64 d d) l)))) #s(literal 1 binary64)))))
	19.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D))))
	17.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (.f64 l d))))))
	14.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) (.f64 (*.f64 d d) l)))))))
	60.9%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (pow (/ (* D (/ M d)) 2) 2) h) l))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	51.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 (.f64 M M) h) l) (.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 D D))) w0))
▶	59.7%	#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 (.f64 M M) h)) (.f64 l d)) w0))
	52.1%	#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 (.f64 M M) h) w0) (.f64 (*.f64 d d) l)) w0))
	50.3%	#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))
✓	52.6%	#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) l) (/.f64 w0 (.f64 d d))) w0))
	59.0%	#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) d) (/.f64 w0 (.f64 l d))) w0))
	53.0%	#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 w0 (.f64 d d)) (/.f64 (.f64 M M) l)) h) w0))
▶	51.0%	#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 M) h) (/.f64 w0 (.f64 (*.f64 d d) l))) w0))
	52.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
	65.9%	#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 (.f64 (.f64 M M) h) l))) w0))
	47.7%	#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) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 h w0)) (.f64 d d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
▶	48.6%	#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) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) w0) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
	13.5%	#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) (.f64 (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 M M) l) h) (/.f64 w0 (*.f64 d d)))) #s(literal -1/8 binary64))))
✓	67.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 2 485 to 1 860 computations (25.2% saved)

simplify200.0ms (1.3%)

Memory

29.8MiB live, 121.0MiB allocated; 9ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
cost-diff	1	(.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D))
cost-diff	6	(/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))
cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) w0) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 h))
cost-diff	0	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) w0) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 h)) h)
cost-diff	0	#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) w0) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 h)) h))
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) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) w0) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 h)) 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 w0 d) (.f64 (.f64 M M) h)) (.f64 l 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 w0 d) (.f64 (.f64 M M) h)) (.f64 l 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 M) h) (/.f64 w0 (.f64 (*.f64 d d) l))) 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 M) h) (/.f64 w0 (.f64 (*.f64 d d) l))) w0))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) h)) l))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) h)) l)))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) h)) l))))
cost-diff	6	(.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) h))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	712
0	122	708
1	270	652
2	1142	651
3	5548	651
0	8846	651

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

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

localize356.0ms (2.2%)

Memory

-10.1MiB live, 176.7MiB allocated; 19ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.877724530065462	(.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D))
accuracy	4.662637912820489	(/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))
accuracy	5.563837264915193	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))
accuracy	10.452942542902175	(/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d)))
accuracy	9.067808945013068	(.f64 (.f64 d d) l)
accuracy	11.647327950744772	#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 (.f64 (.f64 (.f64 M M) D) D) w0) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
accuracy	12.488851783838967	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) w0) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 w0 h)) h)
accuracy	15.549452416713237	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) w0) (.f64 (.f64 d d) l))
accuracy	6.214954885824747	(/.f64 (.f64 (/.f64 w0 d) (.f64 (.f64 M M) h)) (.f64 l d))
accuracy	9.86602487376558	(.f64 (/.f64 w0 d) (.f64 (*.f64 M M) h))
accuracy	11.647327950744772	#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 (.f64 M M) h)) (.f64 l d)) w0))
accuracy	12.272746039941707	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (.f64 M M) h)) (.f64 l d)) w0)
accuracy	9.067808945013068	(.f64 (.f64 d d) l)
accuracy	11.647327950744772	#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 d d) l))) w0))
accuracy	12.272746039941707	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 d d) l))) w0)
accuracy	13.755831020648317	(.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 d d) l)))
accuracy	3.932750905035207	(/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) h)) l)
accuracy	4.350188292950849	(.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) h)
accuracy	5.289221624129038	(*.f64 (/.f64 M d) D)
accuracy	5.563837264915193	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) h)) l)))

Samples

282.0ms

256×

valid

Compiler

Compiled 608 to 71 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-mult: 104.0ms (48.8% of total)

ival-sub: 37.0ms (17.4% of total)

ival-div: 34.0ms (16% of total)

ival-add: 24.0ms (11.3% of total)

ival-sqrt: 7.0ms (3.3% of total)

ival-pow2: 4.0ms (1.9% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

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

series321.0ms (2%)

Memory

-26.4MiB live, 219.8MiB allocated; 41ms collecting garbage

Counts

27 → 275

Calls

Call 1

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

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

18 calls:

Time	Variable		Point	Expression
38.0ms	M	@	-inf	((* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)))) (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l))) (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) h) (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d)) (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d)))) (* (/ M d) D) (* (/ (* (/ M d) D) 2) h) (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l) (* (* (* M M) h) (/ w0 (* (* d d) l))) (* (* d d) l) (* (/ w0 d) (* (* M M) h)) (/ (* (/ w0 d) (* (* M M) h)) (* l d)) (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) (/ (* (* h D) M) (* l (* 2 d))))
23.0ms	w0	@	inf	((* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)))) (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l))) (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) h) (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d)) (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d)))) (* (/ M d) D) (* (/ (* (/ M d) D) 2) h) (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l) (* (* (* M M) h) (/ w0 (* (* d d) l))) (* (* d d) l) (* (/ w0 d) (* (* M M) h)) (/ (* (/ w0 d) (* (* M M) h)) (* l d)) (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) (/ (* (* h D) M) (* l (* 2 d))))
22.0ms	h	@	0	((* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)))) (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l))) (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) h) (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d)) (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d)))) (* (/ M d) D) (* (/ (* (/ M d) D) 2) h) (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l) (* (* (* M M) h) (/ w0 (* (* d d) l))) (* (* d d) l) (* (/ w0 d) (* (* M M) h)) (/ (* (/ w0 d) (* (* M M) h)) (* l d)) (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) (/ (* (* h D) M) (* l (* 2 d))))
19.0ms	w0	@	0	((* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)))) (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l))) (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) h) (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d)) (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d)))) (* (/ M d) D) (* (/ (* (/ M d) D) 2) h) (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l) (* (* (* M M) h) (/ w0 (* (* d d) l))) (* (* d d) l) (* (/ w0 d) (* (* M M) h)) (/ (* (/ w0 d) (* (* M M) h)) (* l d)) (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) (/ (* (* h D) M) (* l (* 2 d))))
18.0ms	l	@	-inf	((* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)))) (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l))) (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) h) (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d)) (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* w0 (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d))))) (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d)))) (* (/ M d) D) (* (/ (* (/ M d) D) 2) h) (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l) (* (* (* M M) h) (/ w0 (* (* d d) l))) (* (* d d) l) (* (/ w0 d) (* (* M M) h)) (/ (* (/ w0 d) (* (* M M) h)) (* l d)) (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) (/ (* (* h D) M) (* l (* 2 d))))

simplify340.0ms (2.1%)

Memory

49.6MiB live, 233.7MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1027	18275
1	3157	18147
0	8491	17692

Stop Event

1×	iter limit
1×	node limit

Counts

275 → 275

Calls

Call 1

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

Outputs
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0))
#s(approx (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) w0) #s(hole binary64 (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) w0))
#s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) #s(hole binary64 (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))))
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#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) #s(hole binary64 (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) w0))
#s(approx (* (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) h) #s(hole binary64 (* h (* w0 (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))))
#s(approx (* (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) h) (.f64 (.f64 w0 h) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h))))
#s(approx (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) #s(hole binary64 (* w0 (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)) w0 (/.f64 w0 h)))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d))))) #s(hole binary64 (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d))))) (.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0))
#s(approx (* (* (* M M) h) (/ w0 (* (* d d) l))) #s(hole binary64 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))))
#s(approx (* (* (* M M) h) (/ w0 (* (* d d) l))) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (*.f64 M M) h)))
#s(approx (* (/ w0 d) (* (* M M) h)) #s(hole binary64 (/ (* (pow M 2) (* h w0)) d)))
#s(approx (* (/ w0 d) (* (* M M) h)) (.f64 (/.f64 (.f64 (*.f64 M M) w0) d) h))
#s(approx (/ (* (/ w0 d) (* (* M M) h)) (* l d)) #s(hole binary64 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))))
#s(approx (/ (* (/ w0 d) (* (* M M) h)) (* l d)) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (*.f64 M M) h)))
#s(approx (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))
#s(approx (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) (.f64 (.f64 (.f64 (.f64 M M) D) D) (/.f64 w0 (.f64 (.f64 d d) l))))
#s(approx (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) w0) #s(hole binary64 (* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (neg.f64 w0) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) #s(hole binary64 (* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))))
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#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) #s(hole binary64 (* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (neg.f64 w0) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
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#s(approx (+ (* (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) (.f64 (neg.f64 w0) (-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) #s(literal 1/8 binary64)) (.f64 (*.f64 d d) l)) (/.f64 #s(literal 1 binary64) h))))
#s(approx (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))
#s(approx (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 d d)) #s(literal 1/4 binary64)))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)))) #s(hole binary64 w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)))) w0)
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)))) #s(hole binary64 (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (/ (* (/ M d) D) 2) (* (/ (* (/ M d) D) 2) h)) l)))) (fma.f64 (.f64 (.f64 D D) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (*.f64 M M) h))) #s(literal -1/8 binary64) w0))
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#s(approx (sqrt (- 1 (/ (* (/ (* (* h D) M) (* l (* 2 d))) (* (neg M) D)) (* -2 d)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 d d)) (.f64 (.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (.f64 d d) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (.f64 d d) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d))

rewrite234.0ms (1.5%)

Memory

-10.9MiB live, 216.0MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	542
0	122	537
1	398	479
2	2771	478
0	9429	478

Stop Event

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

Counts

27 → 557

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 h (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64))) (/.f64 M d)) (/.f64 D #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h)
(.f64 (.f64 h (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64))) (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))
(.f64 h (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64))))
(.f64 (.f64 D (/.f64 M d)) (/.f64 (.f64 h (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (/.f64 M d) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 h (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 h (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 M) D) d)) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) (.f64 h (.f64 D (/.f64 M d)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 h (.f64 D (/.f64 M d))) (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 h (.f64 D (/.f64 M d))) (/.f64 (.f64 (neg.f64 M) D) d)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 h (.f64 D (/.f64 M d))) (.f64 D (/.f64 M d))) #s(literal 4 binary64))
(/.f64 (.f64 (/.f64 (.f64 (neg.f64 M) D) d) (.f64 h (.f64 D (/.f64 M d)))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 D (/.f64 M d)) (.f64 h (.f64 D (/.f64 M d)))) #s(literal 4 binary64))
(/.f64 (.f64 (/.f64 (.f64 (neg.f64 M) D) d) (.f64 h (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 h (.f64 D (/.f64 M d))) (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (neg.f64 (/.f64 h l)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (/.f64 h l)) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (/.f64 h l)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (/.f64 h l)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64))))) (.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64))))) (.f64 (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64))))) (neg.f64 (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
(fma.f64 (/.f64 h l) (neg.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
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(.f64 (/.f64 (/.f64 w0 d) d) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) l))
(.f64 (/.f64 w0 d) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 l d)))
(.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(.f64 (.f64 M M) (.f64 (.f64 D D) (/.f64 w0 (.f64 (.f64 d d) l))))
(.f64 w0 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (.f64 d d) l)))
(.f64 D (.f64 (.f64 (.f64 M M) D) (/.f64 w0 (.f64 (.f64 d d) l))))
(/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (/.f64 w0 l)) (*.f64 d d))
(/.f64 (.f64 (/.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) d) w0) l)
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) w0) l) (*.f64 d d))
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) w0) d) (*.f64 l d))
(/.f64 (neg.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) (/.f64 w0 d))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (neg.f64 w0) (pow.f64 (.f64 D M) #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 (neg.f64 d) d) l)))
(/.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) (/.f64 w0 d)) l)
(/.f64 (.f64 (neg.f64 w0) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 d) d) l))
(/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) w0) (.f64 (.f64 d d) l))
(neg.f64 (/.f64 (.f64 (neg.f64 w0) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 (.f64 d d) l)))
(neg.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) w0) (.f64 (.f64 (neg.f64 d) d) l)))
(.f64 (/.f64 (.f64 h D) (*.f64 l #s(literal 2 binary64))) (/.f64 M d))
(.f64 (/.f64 h (.f64 l #s(literal 2 binary64))) (*.f64 D (/.f64 M d)))
(.f64 (/.f64 h (.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D M) l))
(.f64 (/.f64 M (.f64 l #s(literal 2 binary64))) (/.f64 (*.f64 h D) d))
(.f64 (/.f64 (.f64 h D) (*.f64 #s(literal 2 binary64) d)) (/.f64 M l))
(.f64 (/.f64 M l) (/.f64 (.f64 h D) (*.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) l) (.f64 h D))
(.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 D (/.f64 h l)))
(.f64 (.f64 D (/.f64 h l)) (/.f64 (/.f64 M d) #s(literal 2 binary64)))
(.f64 (.f64 h D) (/.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) l))
(.f64 (/.f64 h l) (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64)))
(.f64 h (/.f64 (.f64 D M) (.f64 (.f64 #s(literal 2 binary64) d) l)))
(.f64 h (.f64 D (/.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) l)))
(.f64 D (.f64 h (/.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) l)))
(.f64 M (/.f64 (.f64 h D) (.f64 (.f64 #s(literal 2 binary64) d) l)))
(/.f64 (/.f64 (.f64 M (.f64 D (/.f64 h l))) #s(literal 2 binary64)) d)
(/.f64 (/.f64 (.f64 M (.f64 D (/.f64 h l))) d) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 h D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) l)
(/.f64 (.f64 (.f64 D (/.f64 h l)) M) (*.f64 #s(literal 2 binary64) d))
(/.f64 (/.f64 (.f64 (.f64 h D) M) (*.f64 l #s(literal 2 binary64))) d)
(/.f64 (/.f64 (.f64 (.f64 h D) M) (*.f64 #s(literal 2 binary64) d)) l)
(/.f64 (neg.f64 (.f64 M (.f64 D (/.f64 h l)))) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (.f64 h (.f64 (neg.f64 M) D))) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) d) l)))
(/.f64 (.f64 M (.f64 D (/.f64 h l))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 h (.f64 (neg.f64 M) D)) (.f64 (.f64 #s(literal -2 binary64) d) l))
(/.f64 (.f64 (.f64 h D) M) (.f64 (.f64 #s(literal 2 binary64) d) l))
(neg.f64 (/.f64 (.f64 h (.f64 (neg.f64 M) D)) (.f64 (.f64 #s(literal 2 binary64) d) l)))
(neg.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 (.f64 #s(literal -2 binary64) d) l)))

eval80.0ms (0.5%)

Memory: 25.4MiB live, 113.7MiB allocated; 17ms collecting garbage
Compiler: Compiled 36 499 to 3 105 computations (91.5% saved)

prune129.0ms (0.8%)

Memory

9.9MiB live, 154.3MiB allocated; 59ms collecting garbage

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	671	19	690
Fresh	11	18	29
Picked	4	1	5
Done	1	1	2
Total	687	39	726

Accuracy

91.5%

Counts

726 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) M) (.f64 M D)) (.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)))))
	78.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 h D) M) (.f64 D M)) (.f64 (.f64 #s(literal 2 binary64) d) l)) (.f64 #s(literal 2 binary64) d)))))
	89.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) #s(literal 4 binary64)) l))))
	87.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) h)) l))))
✓	80.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	70.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) d)))))
	83.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 l #s(literal 2 binary64))) (.f64 D (/.f64 M d))) D) (neg.f64 M)) (*.f64 #s(literal -2 binary64) d)))))
	67.8%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) M) D) (neg.f64 M)) (.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal -2 binary64) d))))))
	68.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 h D) M) D) (neg.f64 M)) (.f64 (.f64 (.f64 #s(literal 2 binary64) d) l) (*.f64 #s(literal -2 binary64) d))))))
	80.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 h D) M) (/.f64 (.f64 D (/.f64 M d)) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) d) l)))))
	77.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h D) (.f64 (.f64 #s(literal 2 binary64) d) l))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d)))))
	14.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (/ (* D (/ M d)) 2) 2) h) l)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) h) (.f64 (*.f64 d d) l))))))
	16.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* (/ M 2) D) 2) h) (* (* d d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) D) D)))))
	67.0%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (.f64 M M) D) (.f64 (/.f64 D (.f64 (.f64 d d) l)) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
	81.0%	(.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 (.f64 M M) d) (/.f64 D d)) D) l) #s(literal 1 binary64)))))
	68.9%	(.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 l d) d)) #s(literal 1 binary64)))))
	65.8%	(.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 D) M) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	78.9%	(.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 D (*.f64 l d))) #s(literal 1 binary64)))))
	69.8%	(.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 M (.f64 (.f64 M D) (/.f64 D (.f64 (.f64 d d) l)))) #s(literal 1 binary64)))))
	19.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D))))
	17.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (.f64 l d))))))
	14.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 h (/.f64 (.f64 M M) (.f64 (*.f64 d d) l)))))))
	58.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (.f64 (.f64 (*.f64 (/.f64 w0 d) M) M) (/.f64 h l)) w0))
	67.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) M) (.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (.f64 (/.f64 w0 d) M) (.f64 h M)) (.f64 l d)) w0))
	62.9%	#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 #s(approx (* (/ w0 d) (* (* M M) h)) (.f64 (/.f64 (.f64 (.f64 M M) w0) d) h)) (.f64 l d)) w0))
	50.3%	#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))
	53.0%	#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 w0 (.f64 d d)) (/.f64 (.f64 M M) l)) h) w0))
	53.8%	#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))
	50.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 M M)) (.f64 (/.f64 w0 (.f64 (*.f64 d d) l)) h) w0))
	51.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 d d) l))) w0))
	68.9%	#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 (/.f64 w0 d) d)) (/.f64 (.f64 (*.f64 M M) h) l))) w0))
	12.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (/ w0 d) (* (* M M) h)) (* l d))) w0) (.f64 (.f64 (.f64 D D) (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) (.f64 (.f64 M M) h))) #s(literal -1/8 binary64))))
	47.7%	#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) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 h w0)) (.f64 d d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
	56.8%	#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) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 (.f64 w0 D) (.f64 l d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
	13.5%	#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) (.f64 (.f64 (.f64 D D) (.f64 (.f64 (/.f64 (.f64 M M) l) h) (/.f64 w0 (*.f64 d d)))) #s(literal -1/8 binary64))))
	13.4%	#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) (.f64 #s(approx (+ ( (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) w0) #s(literal -1/8 binary64)) (.f64 (*.f64 d d) l))) h)))
	51.9%	#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 #s(approx (+ ( (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) (/.f64 w0 h)) h)))
✓	67.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Compiler

Compiled 4 083 to 1 626 computations (60.2% saved)

regimes313.0ms (2%)

Memory

0.6MiB live, 373.1MiB allocated; 43ms collecting garbage

Counts

75 → 1

Calls

Call 1

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

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

Calls

15 calls:

34.0ms	(.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)))))
29.0ms	(*.f64 #s(literal 2 binary64) d)
28.0ms	l
22.0ms	h
21.0ms	M

Results

Accuracy	Segments	Branch
89.5%	1	`(/.f64 h l)`
89.5%	1	`(*.f64 #s(literal 2 binary64) d)`
89.5%	1	`(*.f64 M D)`
89.5%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
89.5%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.5%	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)))`
89.5%	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))))`
89.5%	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)))))`
89.5%	1	`w0`
89.5%	1	`M`
89.5%	1	`D`
89.5%	1	`h`
89.5%	1	`l`
89.5%	1	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes227.0ms (1.4%)

Memory

2.3MiB live, 382.1MiB allocated; 57ms collecting garbage

Counts

52 → 2

Calls

Call 1

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

Outputs

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

(*.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 (*.f64 M M) d) (/.f64 D d)) D) l) #s(literal 1 binary64)))))

Calls

15 calls:

31.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
17.0ms	d
16.0ms	l
15.0ms	D
15.0ms	(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
84.2%	3	`l`
86.0%	2	`(*.f64 #s(literal 2 binary64) d)`
86.0%	2	`d`
83.8%	2	`(*.f64 M D)`
85.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
81.0%	1	`w0`
83.6%	2	`D`
82.6%	2	`h`
85.7%	3	`(/.f64 h l)`
85.3%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
85.2%	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)))`
85.2%	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))))`
83.5%	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)))))`
84.9%	3	`M`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes212.0ms (1.3%)

Memory

10.1MiB live, 56.8MiB allocated; 3ms collecting garbage

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

183.0ms	d
15.0ms	(*.f64 #s(literal 2 binary64) d)
10.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
85.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.8%	2	`(*.f64 #s(literal 2 binary64) d)`
83.8%	2	`d`

Compiler

Compiled 17 to 27 computations (-58.8% saved)

regimes59.0ms (0.4%)

Memory

-19.1MiB live, 79.4MiB allocated; 8ms collecting garbage

Counts

48 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

13.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
12.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
11.0ms	(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))))
11.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
9.0ms	(-.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
83.9%	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)))`
83.9%	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))))`
84.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
84.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
84.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 60 to 65 computations (-8.3% saved)

regimes34.0ms (0.2%)

Memory

7.0MiB live, 53.1MiB allocated; 3ms collecting garbage

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

12.0ms

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

10.0ms

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

9.0ms

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

Results

Accuracy	Segments	Branch
83.8%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.8%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
84.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes1.2s (7.4%)

Memory

-116.0MiB live, 198.5MiB allocated; 1.5s collecting garbage

Counts

44 → 2

Calls

Call 1

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

Outputs

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

Calls

12 calls:

1.0s	(-.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	d
20.0ms	D
12.0ms	M
11.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
82.7%	2	`M`
81.0%	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)))))`
81.0%	1	`D`
81.0%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.0%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.6%	2	`(*.f64 M D)`
81.0%	1	`(*.f64 #s(literal 2 binary64) d)`
81.0%	1	`d`
81.0%	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)))`
81.0%	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))))`
81.0%	1	`(/.f64 h l)`
81.0%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 90 to 122 computations (-35.6% saved)

regimes300.0ms (1.9%)

Memory

-15.2MiB live, 267.7MiB allocated; 33ms collecting garbage

Counts

43 → 2

Calls

Call 1

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

Outputs

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

Calls

15 calls:

28.0ms	(*.f64 #s(literal 2 binary64) d)
24.0ms	h
23.0ms	(/.f64 h l)
21.0ms	l
20.0ms	w0

Results

Accuracy	Segments	Branch
78.9%	1	`(*.f64 #s(literal 2 binary64) d)`
81.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
82.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
78.9%	1	`w0`
78.9%	1	`d`
81.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
82.0%	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)))`
82.0%	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))))`
78.9%	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)))))`
81.2%	2	`(/.f64 h l)`
80.8%	2	`D`
82.2%	2	`(*.f64 M D)`
78.9%	1	`h`
78.9%	1	`l`
82.3%	2	`M`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes38.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

18.0ms	M
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
82.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
78.9%	2	`M`

Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes100.0ms (0.6%)

Memory

-1.4MiB live, 91.9MiB allocated; 5ms collecting garbage

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

23.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
16.0ms	(*.f64 M D)
14.0ms	(/.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))))
12.0ms	(-.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
76.2%	2	`(/.f64 h l)`
79.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
80.0%	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)))`
80.0%	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))))`
81.8%	3	`(*.f64 M D)`
82.6%	3	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 66 to 79 computations (-19.7% saved)

regimes12.0ms (0.1%)

Memory

-31.7MiB live, 13.6MiB allocated; 3ms collecting garbage

Counts

35 → 2

Calls

Call 1

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

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
81.0%	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)

regimes9.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

32 → 2

Calls

Call 1

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

Outputs

#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 w0 d) M) (*.f64 h M)) (*.f64 l d)) w0))

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
81.0%	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)

regimes113.0ms (0.7%)

Memory

3.6MiB live, 99.9MiB allocated; 9ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

#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 #s(approx (* (/ w0 d) (* (* M M) h)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h)) (*.f64 l d)) w0))

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

Calls

11 calls:

23.0ms	(*.f64 #s(literal 2 binary64) d)
13.0ms	l
9.0ms	w0
9.0ms	d
9.0ms	h

Results

Accuracy	Segments	Branch
78.8%	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)))`
78.8%	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))))`
78.6%	2	`(*.f64 M D)`
73.6%	2	`(*.f64 #s(literal 2 binary64) d)`
70.7%	2	`w0`
73.2%	2	`h`
73.6%	2	`d`
78.8%	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)))))`
71.2%	2	`l`
77.4%	2	`D`
79.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 73 to 106 computations (-45.2% saved)

regimes27.0ms (0.2%)

Memory

-15.6MiB live, 30.5MiB allocated; 4ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

#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))))) w0)

Calls

3 calls:

10.0ms

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

7.0ms

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

7.0ms

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

Results

Accuracy	Segments	Branch
78.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes15.0ms (0.1%)

Memory

22.7MiB live, 22.6MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	M
6.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
77.8%	2	`M`
78.8%	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)

regimes47.0ms (0.3%)

Memory

26.3MiB live, 99.3MiB allocated; 16ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

#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))))) w0)

Calls

8 calls:

11.0ms	(*.f64 M D)
8.0ms	(.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)))))
5.0ms	M
5.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
5.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
75.7%	2	`M`
76.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
76.8%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
74.9%	2	`(*.f64 M D)`
77.8%	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)))`
77.8%	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))))`
77.8%	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)))))`
77.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 82 to 95 computations (-15.9% saved)

regimes9.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	D
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
67.5%	1	`D`
77.3%	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)

regimes46.0ms (0.3%)

Memory

-17.2MiB live, 62.2MiB allocated; 19ms collecting garbage

Accuracy

Total -11.0b remaining (-52.8%)

Threshold costs -11b (-52.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Calls

14 calls:

13.0ms	h
9.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
3.0ms	(*.f64 #s(literal 2 binary64) d)
2.0ms	d
2.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
67.5%	1	`w0`
67.5%	1	`l`
67.5%	1	`h`
67.5%	1	`(*.f64 #s(literal 2 binary64) d)`
67.5%	1	`d`
67.5%	1	`(*.f64 M D)`
67.5%	1	`M`
67.5%	1	`(/.f64 h l)`
67.5%	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)))`
67.5%	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))))`
67.5%	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)))))`
67.5%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
67.5%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
67.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 92 to 134 computations (-45.7% saved)

bsearch37.0ms (0.2%)

Memory

0.1MiB live, 41.8MiB allocated; 21ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.822424390167823e+51	7.973136582138298e+51

Samples

10.0ms	48×	0	valid
1.0ms	3×	0	invalid

Compiler

Compiled 204 to 173 computations (15.2% saved)

Precisions

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

ival-mult: 3.0ms (41.7% of total)

ival-div: 2.0ms (27.8% of total)

ival-sub: 1.0ms (13.9% of total)

ival-sqrt: 1.0ms (13.9% of total)

ival-pow2: 1.0ms (13.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2784716985472557e-6	-2.225911721791689e-24

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

3.6MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2784716985472557e-6	-2.225911721791689e-24

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2784716985472557e-6	-2.225911721791689e-24

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch53.0ms (0.3%)

Memory

2.6MiB live, 61.2MiB allocated; 38ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	7.902498470217922e-159	1.6298850672036671e-158

Samples

43.0ms	80×	0	valid
1.0ms	4×	0	invalid

Compiler

Compiled 306 to 266 computations (13.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 31.0ms (80.9% of total)

ival-mult: 4.0ms (10.4% of total)

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

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

ival-pow2: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Memory

3.8MiB live, 47.7MiB allocated; 15ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.738320186554379e-167	4.5040946040666745e-166

Samples

13.0ms	3×	0	invalid
12.0ms	96×	0	valid

Compiler

Compiled 363 to 314 computations (13.5% saved)

Precisions

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

ival-mult: 15.0ms (73.8% of total)

ival-div: 2.0ms (9.8% of total)

ival-sub: 1.0ms (4.9% of total)

ival-sqrt: 1.0ms (4.9% of total)

ival-pow2: 1.0ms (4.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1594775757639.3079	-1.2784716985472557e-6

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-6.024785504488005e+27	-1594775757639.3079
0.0ms	-inf	-1.183338490681563e+256

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.183338490681563e+256	-8.243399554890258e+205

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.183338490681563e+256	-8.243399554890258e+205

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.183338490681563e+256	-8.243399554890258e+205

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.183338490681563e+256	-8.243399554890258e+205

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.243399554890258e+205	-1.155637863650263e+190

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch2.0ms (0%)

Memory

-45.3MiB live, 1.4MiB allocated; 4ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.183338490681563e+256

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.183338490681563e+256

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify109.0ms (0.7%)

Memory

7.9MiB live, 102.0MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	1188
1	306	1188
2	810	1186
3	6181	1186

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) #s(literal 4 binary64)) l))))
(if (<=.f64 d #s(literal 5899999999999999827080797600242017770743373779435520 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) M) (.f64 M D)) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) d))))) (.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 (.f64 M M) d) (/.f64 D d)) D) 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 -4722366482869645/4722366482869645213696 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4722366482869645/4722366482869645213696 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h D) (.f64 (.f64 #s(literal 2 binary64) d) l))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4722366482869645/4722366482869645213696 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 h D) M) (.f64 D M)) (.f64 (.f64 #s(literal 2 binary64) d) l)) (.f64 #s(literal 2 binary64) d))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 M #s(literal 8112437168317829/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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 (.f64 M M) d) (/.f64 D d)) D) l) #s(literal 1 binary64))))))
(if (<=.f64 M #s(literal 7469128023985787/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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 D (*.f64 l 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 -1000000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D)))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.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)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (.f64 (.f64 (.f64 (/.f64 w0 d) M) M) (/.f64 h l)) w0)) (if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999791559868416 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (.f64 l d)))))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) d) (.f64 (.f64 (.f64 (/.f64 w0 d) M) M) (/.f64 h l)) w0)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256 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 w0 d) M) (.f64 h M)) (.f64 l d)) w0)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256 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 #s(approx (* (/ w0 d) (* (* M M) h)) (.f64 (/.f64 (.f64 (.f64 M M) w0) d) h)) (.f64 l d)) w0)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256 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) d) (/.f64 w0 (.f64 l d))) w0)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 w0 (.f64 (.f64 d d) l)) M) (.f64 h M)) D) (.f64 #s(literal -1/8 binary64) D) w0)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.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)) #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))))) w0))
(if (<=.f64 (.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)) #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 #s(approx (+ ( (/ (* (* (* (* M M) D) D) w0) (* (* d d) l)) -1/8) (/ w0 h)) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) D) D) w0) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l))) h))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) #s(literal 4 binary64)) l))))
(if (<=.f64 d #s(literal 5899999999999999827080797600242017770743373779435520 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 h l) D) M) (.f64 M D)) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) d))))) (.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 (.f64 M M) d) (/.f64 D d)) D) 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 -4722366482869645/4722366482869645213696 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4722366482869645/4722366482869645213696 binary64)) (.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 h D) M) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 M D)) (.f64 #s(literal -2 binary64) d))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4722366482869645/4722366482869645213696 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h D) (.f64 (.f64 #s(literal 2 binary64) d) l))) (.f64 (neg.f64 M) D)) (.f64 #s(literal -2 binary64) d))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4722366482869645/4722366482869645213696 binary64)) (.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (/.f64 (.f64 h D) (.f64 (.f64 #s(literal 2 binary64) d) l))) (.f64 M D)) (.f64 #s(literal -2 binary64) d))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4722366482869645/4722366482869645213696 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 (.f64 h D) M) (.f64 D M)) (.f64 (.f64 #s(literal 2 binary64) d) l)) (.f64 #s(literal 2 binary64) d))))) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
(if (<=.f64 M #s(literal 8112437168317829/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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 (.f64 M M) d) (/.f64 D d)) D) l) #s(literal 1 binary64))))))
(if (<=.f64 M #s(literal 7469128023985787/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h 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 D (*.f64 l 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 -1000000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D)))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0)

derivations2.5s (15.8%)

Memory

69.5MiB live, 2 398.1MiB allocated; 430ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 186 to 215 computations (81.9% saved)

preprocess364.0ms (2.3%)

Memory

-41.7MiB live, 293.2MiB allocated; 59ms collecting garbage

Remove

(negabs w0)

(abs D)

(abs d)

Compiler

Compiled 2 716 to 702 computations (74.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.1s (7%)

sample2.5s (15.7%)

explain283.0ms (1.8%)

preprocess230.0ms (1.4%)

eval0.0ms (0%)

prune10.0ms (0.1%)

simplify127.0ms (0.8%)

localize52.0ms (0.3%)

series77.0ms (0.5%)

simplify179.0ms (1.1%)

rewrite258.0ms (1.6%)

eval106.0ms (0.7%)

prune33.0ms (0.2%)

simplify126.0ms (0.8%)

localize242.0ms (1.5%)

series123.0ms (0.8%)

simplify434.0ms (2.7%)

rewrite334.0ms (2.1%)

eval150.0ms (0.9%)

prune50.0ms (0.3%)

simplify219.0ms (1.4%)

localize327.0ms (2%)

series258.0ms (1.6%)

simplify441.0ms (2.8%)

rewrite370.0ms (2.3%)

eval293.0ms (1.8%)

prune98.0ms (0.6%)

simplify200.0ms (1.3%)

localize356.0ms (2.2%)

series321.0ms (2%)

simplify340.0ms (2.1%)

rewrite234.0ms (1.5%)

eval80.0ms (0.5%)

prune129.0ms (0.8%)

regimes313.0ms (2%)

regimes227.0ms (1.4%)

regimes212.0ms (1.3%)

regimes59.0ms (0.4%)

regimes34.0ms (0.2%)

regimes1.2s (7.4%)

regimes300.0ms (1.9%)

regimes38.0ms (0.2%)

regimes100.0ms (0.6%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes113.0ms (0.7%)

regimes27.0ms (0.2%)

regimes15.0ms (0.1%)

regimes47.0ms (0.3%)

regimes9.0ms (0.1%)

regimes46.0ms (0.3%)

bsearch37.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch53.0ms (0.3%)

bsearch33.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

simplify109.0ms (0.7%)

derivations2.5s (15.8%)

preprocess364.0ms (2.3%)

end0.0ms (0%)

Profiling