Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

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

analyze576.0ms (5.3%)

Memory

-0.1MiB live, 620.1MiB allocated; 98ms 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)

sample2.6s (24.3%)

Memory

-101.8MiB live, 1 813.1MiB allocated; 1.2s collecting garbage

Samples

1.6s	8 256×	0	valid
355.0ms	2 778×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 868.0ms (60.3% of total)

ival-div: 208.0ms (14.5% of total)

ival-pow2: 183.0ms (12.7% of total)

ival-sqrt: 100.0ms (6.9% of total)

ival-sub: 52.0ms (3.6% of total)

exact: 12.0ms (0.8% of total)

ival-true: 8.0ms (0.6% of total)

ival-assert: 5.0ms (0.3% of total)

adjust: 3.0ms (0.2% of total)

Bogosity

explain315.0ms (2.9%)

Memory

-19.7MiB live, 367.4MiB allocated; 58ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
46	-	2	(-1.1526864331771504e+306 5.368878583804276e-248 -1.245746996885008e-59 -5.007317077256802e+165 7.470963705488013e-142 1.7953893283982576e-150)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
23	-	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))))`
16	-	0	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
8	-	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	23	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	64
↳	`(-.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	56
↳	`(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	33
↳	`(*.f64 M D)`	overflow	20
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	33
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	56
↳	`(/.f64 h l)`	overflow	32
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	12	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	9	0
↳	`(*.f64 M D)`	overflow	20
`*.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**	8	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	64
↳	`(*.f64 M D)`	overflow	20
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	33
↳	`(/.f64 h l)`	underflow	29
`*.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	107
↳	`(*.f64 M D)`	underflow	38
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	57
↳	`(/.f64 h l)`	overflow	32

Confusion

	Predicted +	Predicted -
+	42	17
-	9	188

Precision

0.8235294117647058

Recall

0.711864406779661

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	17
-	9	0	188

Precision?

0.8235294117647058

Recall?

0.711864406779661

Freqs

test

number	freq
0	205
1	44
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

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

ival-mult: 12.0ms (36.9% of total)

ival-div: 8.0ms (24.6% of total)

ival-pow2: 5.0ms (15.4% of total)

ival-sqrt: 3.0ms (9.2% of total)

ival-sub: 2.0ms (6.2% of total)

exact: 1.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess175.0ms (1.6%)

Memory

17.5MiB live, 156.2MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.6%	(.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)

simplify136.0ms (1.3%)

Memory

11.0MiB live, 155.6MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	47	95
2	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

localize51.0ms (0.5%)

Memory

-15.5MiB live, 81.0MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.9078327987398689	(.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	3.910899283751708	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	5.367466943965565	(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	10.568904673644239	(.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: 15.0ms

ival-mult: 6.0ms (38.7% of total)

ival-div: 3.0ms (19.4% of total)

ival-sqrt: 2.0ms (12.9% of total)

ival-pow2: 2.0ms (12.9% of total)

ival-sub: 1.0ms (6.5% 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)

series66.0ms (0.6%)

Memory

-8.6MiB live, 129.2MiB allocated; 10ms collecting garbage

Counts

5 → 89

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

Calls

18 calls:

Time	Variable		Point	Expression
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	M	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	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	@	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	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)))

simplify200.0ms (1.8%)

Memory

41.4MiB live, 279.8MiB allocated; 58ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	4390
1	2407	4334
0	9499	4188

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 88

Calls

Call 1

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

Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)) #s(literal 1 binary64))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) 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)
(+ 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)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 w0 l)) (.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (.f64 (.f64 (/.f64 (.f64 h h) l) (/.f64 (.f64 M M) l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))))) (*.f64 M M) w0)
(+ 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)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (.f64 (/.f64 w0 (pow.f64 d #s(literal 4 binary64))) (.f64 (/.f64 h l) (/.f64 h l))))) (.f64 M M) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) w0) (.f64 (.f64 d d) l))) (.f64 M M) w0)
1
#s(literal 1 binary64)
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(+ 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)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (.f64 M M) h) h) (.f64 (.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 (.f64 d d) l)))) (.f64 M M) #s(literal 1 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)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64)))) (.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (.f64 (/.f64 h (pow.f64 d #s(literal 4 binary64))) (/.f64 h (.f64 l l))))) (.f64 M M) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 (.f64 d d) l)))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))
(* 1/2 (/ (* D M) d))
(.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 d w0) (.f64 (.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (.f64 (/.f64 w0 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 d w0) (.f64 (.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* 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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (.f64 (/.f64 w0 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 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)))) (fma.f64 (.f64 (/.f64 (.f64 d w0) (.f64 (.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 (/.f64 d (.f64 (.f64 D M) 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)) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 (.f64 (/.f64 d (.f64 (.f64 D M) 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)) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* 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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 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)))) (fma.f64 (.f64 (/.f64 d (.f64 (.f64 D M) 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)) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 M M)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 h (.f64 (.f64 d d) l)))) (.f64 M M))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(.f64 (.f64 (neg.f64 D) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d)) (sqrt.f64 (/.f64 h l)))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 (/.f64 (.f64 d w0) (.f64 (.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (.f64 (/.f64 w0 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 d w0) (.f64 (.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (.f64 (/.f64 w0 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 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)))) (fma.f64 (.f64 (/.f64 (.f64 d w0) (.f64 (.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(.f64 (.f64 (neg.f64 D) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d)) (sqrt.f64 (/.f64 h l)))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 (/.f64 d (.f64 (.f64 D M) 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)) D) d) (sqrt.f64 (/.f64 h l)))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 (.f64 (/.f64 d (.f64 (.f64 D M) 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)) D) d) (sqrt.f64 (/.f64 h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(.f64 (neg.f64 M) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 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)))) (fma.f64 (.f64 (/.f64 d (.f64 (.f64 D M) 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)) D) d) (sqrt.f64 (/.f64 h l)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 (/.f64 h (.f64 d d)) (/.f64 w0 l)) (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) w0) (.f64 h h)) (.f64 D D)) (pow.f64 d #s(literal 4 binary64))))) (.f64 D D) w0)
(+ 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)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1024 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 M #s(literal 4 binary64))) (.f64 (/.f64 w0 (pow.f64 d #s(literal 4 binary64))) (.f64 (/.f64 h l) (/.f64 h l))))) (.f64 D D) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (/.f64 (.f64 (.f64 (.f64 M M) h) w0) l))) (*.f64 D D) w0)
(+ 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)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (.f64 D D)) (pow.f64 d #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l)))) (*.f64 D D) #s(literal 1 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)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 M #s(literal 4 binary64))) (.f64 (/.f64 h (pow.f64 d #s(literal 4 binary64))) (/.f64 h (.f64 l l))) (.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))) (.f64 D D)) (pow.f64 d #s(literal 6 binary64))))) (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 h (.f64 (.f64 d d) l)))) (.f64 D D) #s(literal 1 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)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 D D))) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 D D))) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* 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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 d #s(literal 3 binary64)) w0) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) 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 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 D D))) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* 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))))))
(.f64 (fma.f64 (.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 D #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* 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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)) (pow.f64 D #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.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 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* -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))))))
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(* 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)))))))
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(* 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))))))))
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(* h (+ (* 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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(* 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)))))))
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(* 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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(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -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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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
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(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -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))))))))
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(* -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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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(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))
(/ (+ (* 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)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 l l) (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 l h)) D) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 l h) #s(literal 3 binary64))))) (.f64 (pow.f64 d #s(literal 3 binary64)) (/.f64 w0 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 5 binary64)) l)))) (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) 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)))))) (.f64 l l) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 l l))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))) (pow.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 l l) (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 l h) #s(literal 3 binary64))))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 5 binary64)) l)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (.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)))))) (.f64 l l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 d (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 l l) (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (-.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) w0))
(+ 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)))))))
(+.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) (.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 (.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) w0))
(+ 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))))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)) (fma.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))) #s(literal 1 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)))))))
(+.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)))
(+ 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)))
(-.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))
(+ 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)))
(-.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 -1/1024 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)) (.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))))) (neg.f64 l))) l))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(-.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))
(+ 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)))
(-.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 -1/1024 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)) (.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))))) (neg.f64 l))) l))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (.f64 (.f64 d d) #s(literal 1/2 binary64)) (.f64 (/.f64 w0 (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (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)
(/ (+ (* (* 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)
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 d d) (.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 #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)
(/ (+ (* (* 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)
(/.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)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/.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)
(/ (+ (* (* 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)
(/.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)
(/ (+ (* (* 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)
(/.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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(-.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)))

rewrite158.0ms (1.5%)

Memory

20.1MiB live, 233.7MiB allocated; 55ms 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))
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(/.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)))))

eval119.0ms (1.1%)

Memory: -5.5MiB live, 190.4MiB allocated; 79ms collecting garbage
Compiler: Compiled 15 345 to 2 438 computations (84.1% saved)

prune21.0ms (0.2%)

Memory

-9.2MiB live, 84.5MiB allocated; 4ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	411	15	426
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	411	16	427

Accuracy

89.8%

Counts

427 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.5%	(.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 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	71.0%	(.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))))
▶	82.2%	(.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)))))
	76.9%	(.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)))))
	70.3%	(.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)))))
	76.6%	(.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)))))
	74.5%	(.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)))))
✓	77.6%	(.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)))))
▶	78.6%	(.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))))))))
▶	71.1%	(.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)))))
▶	63.9%	(.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))))
	60.6%	(.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))))))
	13.6%	(.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))))))
	54.3%	(.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))))
▶	66.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	52.7%	#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 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))

Compiler

Compiled 860 to 705 computations (18% saved)

simplify201.0ms (1.8%)

Memory

-29.6MiB live, 263.3MiB allocated; 80ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	666
0	107	660
1	226	618
2	882	606
3	5179	606
0	8481	605

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

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

localize145.0ms (1.3%)

Memory

27.8MiB live, 309.6MiB allocated; 16ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.334486860379787	(.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)))))
accuracy	5.367466943965565	(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)))))))
accuracy	5.9094014084088435	(*.f64 (/.f64 h l) D)
accuracy	11.24346509361781	(.f64 (.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))
accuracy	5.367466943965565	(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)))
accuracy	6.519665003526487	(/.f64 (*.f64 M M) d)
accuracy	8.343803190434874	(.f64 (/.f64 (.f64 M M) d) (/.f64 h d))
accuracy	14.132095154651372	(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))
accuracy	5.367466943965565	(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	6.486244470218528	(.f64 (.f64 d d) l)
accuracy	8.710735222099725	(.f64 (.f64 M M) D)
accuracy	10.156753990106894	(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l))
accuracy	1.9078327987398689	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	21.69471314099103	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	4.087070591993764	(/.f64 (.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))
accuracy	4.814696238802809	(.f64 h (pow.f64 (.f64 D M) #s(literal 2 binary64)))
accuracy	5.367466943965565	(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))))
accuracy	6.428224310634306	(/.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))

Samples

103.0ms

256×

valid

Compiler

Compiled 548 to 59 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 36.0ms (50.3% of total)

ival-div: 18.0ms (25.1% of total)

ival-sub: 5.0ms (7% of total)

ival-sqrt: 5.0ms (7% of total)

ival-pow2: 5.0ms (7% of total)

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

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series102.0ms (0.9%)

Memory

27.0MiB live, 215.2MiB allocated; 14ms collecting garbage

Counts

27 → 110

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	M	@	-inf	((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (/ (* M M) d) (/ h d)) (/ (* M M) d) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D))
9.0ms	M	@	0	((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (/ (* M M) d) (/ h d)) (/ (* M M) d) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D))
6.0ms	l	@	inf	((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (/ (* M M) d) (/ h d)) (/ (* M M) d) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D))
6.0ms	h	@	0	((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (/ (* M M) d) (/ h d)) (/ (* M M) d) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D))
6.0ms	M	@	inf	((/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* (* M M) 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))) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* h (pow (* D M) 2)) (/ (* h (pow (* D M) 2)) (* -2 d)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (/ (* M M) d) (/ h d)) (/ (* M M) d) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D))

simplify192.0ms (1.8%)

Memory

-33.1MiB live, 247.6MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	663	4676
1	2505	4620
0	8497	4469

Stop Event

1×	iter limit
1×	node limit

Counts

110 → 108

Calls

Call 1

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

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

rewrite181.0ms (1.7%)

Memory

11.6MiB live, 288.5MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	492
0	107	492
1	332	450
2	2300	442
0	9302	442

Stop Event

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

Counts

27 → 363

Calls

Call 1

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

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

eval69.0ms (0.6%)

Memory: 27.7MiB live, 175.9MiB allocated; 16ms collecting garbage
Compiler: Compiled 19 517 to 2 882 computations (85.2% saved)

prune30.0ms (0.3%)

Memory

-3.0MiB live, 91.3MiB allocated; 8ms collecting garbage

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	454	15	469
Fresh	6	4	10
Picked	4	1	5
Done	1	0	1
Total	465	20	485

Accuracy

91.6%

Counts

485 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D #s(literal -2 binary64)) (.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 (/.f64 h l) D)) (/.f64 M d)) #s(literal 1 binary64))))
	75.5%	(.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 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
	83.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	70.3%	(.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)))))
	74.5%	(.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)))))
▶	85.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (.f64 #s(literal 2 binary64) l)))))))
	81.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (/.f64 (.f64 (.f64 D h) M) (.f64 (*.f64 d #s(literal 2 binary64)) l)))))))
▶	74.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ ( h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
	14.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ ( h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
	75.3%	(.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)))))
▶	80.2%	(.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)))))
	75.6%	(.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 D l) (.f64 (/.f64 D d) (/.f64 (.f64 M M) d))) #s(literal 1 binary64)))))
	78.0%	(.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 D d) (/.f64 (.f64 (.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
	74.2%	(.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)))))
	68.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 (.f64 D D) #s(literal -1/4 binary64)) l) l))))
▶	82.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l))))
	58.1%	(.f64 w0 #s(approx (sqrt (- 1 (/ (/ ( h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))))
▶	54.3%	(.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))))
✓	66.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	61.9%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 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))

Compiler

Compiled 1 258 to 969 computations (23% saved)

simplify262.0ms (2.4%)

Memory

-3.5MiB live, 270.8MiB allocated; 182ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	824
0	129	808
1	300	778
2	1305	772
3	5174	772
0	9052	767

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

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

localize211.0ms (1.9%)

Memory

-7.4MiB live, 425.0MiB allocated; 54ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.250348311042801	(.f64 (.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)
accuracy	4.30707012897809	(.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) D))
accuracy	4.375614756864039	(*.f64 (/.f64 h d) M)
accuracy	5.367466943965565	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))
accuracy	5.367466943965565	(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))))
accuracy	5.436943969096608	(/.f64 D (*.f64 l d))
accuracy	6.604194084141912	(.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (.f64 l d)))
accuracy	8.710735222099725	(.f64 (.f64 M M) D)
accuracy	1.9078327987398689	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ ( h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
accuracy	5.367466943965565	(sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
accuracy	6.486244470218528	(.f64 (.f64 d d) l)
accuracy	10.156753990106894	(/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) l))
accuracy	8.421929370455842	(/.f64 h (*.f64 d d))
accuracy	11.30890759193123	(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))
accuracy	11.90729844857763	(.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy	13.343111033595038	#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)))
accuracy	4.898999545323115	(/.f64 (.f64 (/.f64 M d) (.f64 D h)) (*.f64 #s(literal 2 binary64) l))
accuracy	5.334486860379787	(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (*.f64 #s(literal 2 binary64) l))))
accuracy	5.367466943965565	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (*.f64 #s(literal 2 binary64) l))))))
accuracy	9.573177018248646	(.f64 (/.f64 M d) (.f64 D h))

Samples

151.0ms

256×

valid

Compiler

Compiled 617 to 75 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 53.0ms (52.8% of total)

ival-div: 26.0ms (25.9% of total)

ival-sqrt: 7.0ms (7% of total)

ival-sub: 5.0ms (5% of total)

ival-pow2: 5.0ms (5% of total)

ival-add: 4.0ms (4% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series100.0ms (0.9%)

Memory

30.9MiB live, 173.0MiB allocated; 15ms collecting garbage

Counts

31 → 119

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	M	@	inf	((* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))))) (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* (* M D) (* M D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* (/ (* (* M M) D) d) (/ D (* l 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))) (- l (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ M d) (* D h)) (/ (* (/ M d) (* D h)) (* 2 l)) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (/ (* (* M D) (* M D)) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ D (* l d)) (* (/ h d) M) (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D))
8.0ms	D	@	-inf	((* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))))) (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* (* M D) (* M D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* (/ (* (* M M) D) d) (/ D (* l 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))) (- l (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ M d) (* D h)) (/ (* (/ M d) (* D h)) (* 2 l)) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (/ (* (* M D) (* M D)) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ D (* l d)) (* (/ h d) M) (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D))
8.0ms	l	@	inf	((* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))))) (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* (* M D) (* M D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* (/ (* (* M M) D) d) (/ D (* l 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))) (- l (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ M d) (* D h)) (/ (* (/ M d) (* D h)) (* 2 l)) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (/ (* (* M D) (* M D)) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ D (* l d)) (* (/ h d) M) (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D))
6.0ms	h	@	-inf	((* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))))) (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* (* M D) (* M D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* (/ (* (* M M) D) d) (/ D (* l 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))) (- l (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ M d) (* D h)) (/ (* (/ M d) (* D h)) (* 2 l)) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (/ (* (* M D) (* M D)) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ D (* l d)) (* (/ h d) M) (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D))
6.0ms	M	@	-inf	((* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))))) (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* (* M D) (* M D)) (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))))) (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l)))) (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (* (/ (* (* M M) D) d) (/ D (* l 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))) (- l (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ M d) (* D h)) (/ (* (/ M d) (* D h)) (* 2 l)) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (/ (* (* M D) (* M D)) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ D (* l d)) (* (/ h d) M) (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D))

simplify232.0ms (2.1%)

Memory

-12.4MiB live, 274.2MiB allocated; 89ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	682	4832
1	2559	4756
0	8481	4600

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 117

Calls

Call 1

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

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

rewrite168.0ms (1.5%)

Memory

27.1MiB live, 211.2MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	646
0	129	640
1	439	592
2	3260	576
0	8380	576

Stop Event

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

Counts

31 → 647

Calls

Call 1

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

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

eval109.0ms (1%)

Memory: -24.6MiB live, 201.2MiB allocated; 42ms collecting garbage
Compiler: Compiled 27 963 to 4 019 computations (85.6% saved)

prune37.0ms (0.3%)

Memory

22.9MiB live, 116.5MiB allocated; 5ms collecting garbage

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	653	16	669
Fresh	7	7	14
Picked	5	0	5
Done	0	1	1
Total	665	24	689

Accuracy

91.6%

Counts

689 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.0%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 M d) D) #s(literal 1/4 binary64)) (*.f64 (/.f64 h d) M)) (/.f64 D l))))) w0)
▶	90.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) (.f64 (/.f64 (.f64 (/.f64 M d) D) l) (/.f64 h #s(literal 2 binary64))) #s(literal 1 binary64))))
	83.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l)))))
	70.3%	(.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)))))
	74.5%	(.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)))))
	79.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ ( h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l d) d)) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
	83.0%	(.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 D) M) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))))
	75.6%	(.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 D l) (.f64 (/.f64 D d) (/.f64 (.f64 M M) d))) #s(literal 1 binary64)))))
	78.0%	(.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 D d) (/.f64 (.f64 (.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
	74.3%	(.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 M D) M) (/.f64 D (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
	74.5%	(.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 D (.f64 (/.f64 M (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))))
▶	68.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 (.f64 D D) #s(literal -1/4 binary64)) l) l))))
	73.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) D)) (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M)) D l) l))))
	84.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 h M) (.f64 (*.f64 (/.f64 M d) D) #s(literal 1/4 binary64))) d) D)) l))))
▶	58.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (*.f64 D D))))))
	55.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
▶	69.2%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
	61.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (/.f64 h d) M) M) (*.f64 l d)) #s(literal 1 binary64))))
	56.3%	(.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 (.f64 M M) h) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	60.0%	(.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 d) (/.f64 (.f64 M M) (*.f64 l d))) #s(literal 1 binary64))))
▶	56.8%	(.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 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
	12.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
✓	66.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	61.9%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 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))

Compiler

Compiled 1 674 to 1 265 computations (24.4% saved)

simplify139.0ms (1.3%)

Memory

-22.3MiB live, 268.8MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 (.f64 D D) #s(literal -1/4 binary64)) l) l)
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 (.f64 D D) #s(literal -1/4 binary64)) l) l))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 (.f64 D D) #s(literal -1/4 binary64)) l) l)))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 (.f64 D D) #s(literal -1/4 binary64)) l) l))))
cost-diff	0	#s(approx (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (*.f64 D D))))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (*.f64 D D)))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (*.f64 D D))))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (*.f64 D D)))
cost-diff	0	(.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) D)
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
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 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))
cost-diff	0	(.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 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
cost-diff	0	(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) (.f64 (/.f64 (*.f64 (/.f64 M d) D) l) (/.f64 h #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) (.f64 (/.f64 (.f64 (/.f64 M d) D) l) (/.f64 h #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff	5	(fma.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) (.f64 (/.f64 (*.f64 (/.f64 M d) D) l) (/.f64 h #s(literal 2 binary64))) #s(literal 1 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	777
0	121	799
1	286	740
2	1167	740
3	6498	740
0	8698	740

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (1.8%)

Memory

12.2MiB live, 386.7MiB allocated; 43ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.9078327987398689	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 (.f64 D D) #s(literal -1/4 binary64)) l) l))))
accuracy	4.375614756864039	(*.f64 (/.f64 h d) M)
accuracy	5.367466943965565	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 (.f64 D D) #s(literal -1/4 binary64)) l) l)))
accuracy	11.601107381576085	(fma.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 (.f64 D D) #s(literal -1/4 binary64)) l)
accuracy	6.486244470218528	(.f64 (.f64 d d) l)
accuracy	7.3568897660471055	(.f64 (.f64 M M) h)
accuracy	13.53492491796495	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
accuracy	14.73839466691497	(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (*.f64 D D))
accuracy	6.49298237356736	(.f64 (.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
accuracy	7.133797047210943	(.f64 (/.f64 h (.f64 d d)) M)
accuracy	8.421929370455842	(/.f64 h (*.f64 d d))
accuracy	13.343111033595038	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))
accuracy	6.486244470218528	(.f64 (.f64 d d) l)
accuracy	11.30890759193123	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64))
accuracy	12.731077114315854	(/.f64 (.f64 M M) (.f64 (*.f64 d d) l))
accuracy	13.343111033595038	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))
accuracy	6.3234540268417145	(/.f64 (*.f64 (/.f64 M d) D) l)
accuracy	6.412210544261666	(.f64 (/.f64 (.f64 (/.f64 M d) D) l) (/.f64 h #s(literal 2 binary64)))
accuracy	6.636831710136745	(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d))
accuracy	6.638081514042411	(*.f64 (/.f64 M d) D)

Samples

143.0ms

256×

valid

Compiler

Compiled 593 to 72 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 55.0ms (55.8% of total)

ival-div: 26.0ms (26.4% of total)

ival-add: 6.0ms (6.1% of total)

ival-sqrt: 5.0ms (5.1% of total)

ival-pow2: 3.0ms (3% of total)

ival-sub: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series154.0ms (1.4%)

Memory

38.3MiB live, 272.7MiB allocated; 51ms collecting garbage

Counts

33 → 124

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	M	@	0	((+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1) (* w0 (sqrt (+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1))) (sqrt (+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1)) (* (/ D -2) (/ M d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (* (/ h (* d d)) M) (/ M l)) D) (* -1/8 D)) 1) (* (* (* (/ h (* d d)) M) (/ M l)) D) (+ 1 (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))))) (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 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))) (/ (+ (* (* (* (/ h d) M) (/ M d)) (* (* D D) -1/4)) l) l) (* (/ M d) D) (* (/ (* (/ M d) D) l) (/ h 2)) (/ (* (/ M d) D) l) (/ (* M M) (* (* d d) l)) (* (* d d) l) (/ h (* d d)) (* (/ h (* d d)) M) (* (* (/ h (* d d)) M) (/ M l)) (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* M M) h) (+ (* (* (* (/ h d) M) (/ M d)) (* (* D D) -1/4)) l) (* (/ h d) M))
12.0ms	M	@	-inf	((+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1) (* w0 (sqrt (+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1))) (sqrt (+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1)) (* (/ D -2) (/ M d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (* (/ h (* d d)) M) (/ M l)) D) (* -1/8 D)) 1) (* (* (* (/ h (* d d)) M) (/ M l)) D) (+ 1 (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))))) (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 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))) (/ (+ (* (* (* (/ h d) M) (/ M d)) (* (* D D) -1/4)) l) l) (* (/ M d) D) (* (/ (* (/ M d) D) l) (/ h 2)) (/ (* (/ M d) D) l) (/ (* M M) (* (* d d) l)) (* (* d d) l) (/ h (* d d)) (* (/ h (* d d)) M) (* (* (/ h (* d d)) M) (/ M l)) (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* M M) h) (+ (* (* (* (/ h d) M) (/ M d)) (* (* D D) -1/4)) l) (* (/ h d) M))
9.0ms	d	@	0	((+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1) (* w0 (sqrt (+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1))) (sqrt (+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1)) (* (/ D -2) (/ M d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (* (/ h (* d d)) M) (/ M l)) D) (* -1/8 D)) 1) (* (* (* (/ h (* d d)) M) (/ M l)) D) (+ 1 (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))))) (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 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))) (/ (+ (* (* (* (/ h d) M) (/ M d)) (* (* D D) -1/4)) l) l) (* (/ M d) D) (* (/ (* (/ M d) D) l) (/ h 2)) (/ (* (/ M d) D) l) (/ (* M M) (* (* d d) l)) (* (* d d) l) (/ h (* d d)) (* (/ h (* d d)) M) (* (* (/ h (* d d)) M) (/ M l)) (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* M M) h) (+ (* (* (* (/ h d) M) (/ M d)) (* (* D D) -1/4)) l) (* (/ h d) M))
8.0ms	h	@	-inf	((+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1) (* w0 (sqrt (+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1))) (sqrt (+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1)) (* (/ D -2) (/ M d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (* (/ h (* d d)) M) (/ M l)) D) (* -1/8 D)) 1) (* (* (* (/ h (* d d)) M) (/ M l)) D) (+ 1 (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))))) (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 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))) (/ (+ (* (* (* (/ h d) M) (/ M d)) (* (* D D) -1/4)) l) l) (* (/ M d) D) (* (/ (* (/ M d) D) l) (/ h 2)) (/ (* (/ M d) D) l) (/ (* M M) (* (* d d) l)) (* (* d d) l) (/ h (* d d)) (* (/ h (* d d)) M) (* (* (/ h (* d d)) M) (/ M l)) (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* M M) h) (+ (* (* (* (/ h d) M) (/ M d)) (* (* D D) -1/4)) l) (* (/ h d) M))
8.0ms	h	@	inf	((+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1) (* w0 (sqrt (+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1))) (sqrt (+ (* (* (/ D -2) (/ M d)) (* (/ (* (/ M d) D) l) (/ h 2))) 1)) (* (/ D -2) (/ M d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (* (/ h (* d d)) M) (/ M l)) D) (* -1/8 D)) 1) (* (* (* (/ h (* d d)) M) (/ M l)) D) (+ 1 (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l)))))) (- 1 (* (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 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))) (/ (+ (* (* (* (/ h d) M) (/ M d)) (* (* D D) -1/4)) l) l) (* (/ M d) D) (* (/ (* (/ M d) D) l) (/ h 2)) (/ (* (/ M d) D) l) (/ (* M M) (* (* d d) l)) (* (* d d) l) (/ h (* d d)) (* (/ h (* d d)) M) (* (* (/ h (* d d)) M) (/ M l)) (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* M M) h) (+ (* (* (* (/ h d) M) (/ M d)) (* (* D D) -1/4)) l) (* (/ h d) M))

simplify167.0ms (1.5%)

Memory

23.8MiB live, 200.6MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	698	4929
1	2632	4843
0	8672	4676

Stop Event

1×	iter limit
1×	node limit

Counts

124 → 122

Calls

Call 1

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

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

rewrite267.0ms (2.5%)

Memory

-16.3MiB live, 313.1MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	655
0	121	677
1	415	618
2	3083	588
0	10259	580

Stop Event

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

Counts

33 → 568

Calls

Call 1

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

Outputs
(/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 6 binary64))) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.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 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.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))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 (/.f64 M d) 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 2 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 (/.f64 M d) 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 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 6 binary64))))) (neg.f64 (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.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 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (.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)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.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)))
(fma.f64 (.f64 (.f64 (/.f64 (*.f64 h D) #s(literal 2 binary64)) (/.f64 (/.f64 M d) l)) (/.f64 D #s(literal -2 binary64))) (/.f64 M d) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 D (/.f64 h l)) #s(literal 1 binary64))
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(.f64 (/.f64 #s(literal -1/4 binary64) l) (.f64 (.f64 (/.f64 h (.f64 d d)) M) M))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) d) (/.f64 h (.f64 l d)))
(.f64 (/.f64 #s(literal -1/4 binary64) d) (/.f64 (.f64 (.f64 M M) h) (.f64 l d)))
(.f64 (.f64 (.f64 (/.f64 h d) M) M) (/.f64 #s(literal -1/4 binary64) (.f64 l d)))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) (/.f64 h (.f64 (*.f64 d d) l)))
(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 #s(literal -1/4 binary64) (.f64 d d)))
(.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l))
(.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) (/.f64 #s(literal -1/4 binary64) l))
(.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 d d) l)))
(.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (/.f64 h l)))
(.f64 (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1/4 binary64))
(/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d))
(/.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 d d)) (.f64 (.f64 M M) h)) l)
(/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/4 binary64)) l) (.f64 d d))
(/.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/4 binary64)) d) (.f64 l d))
(/.f64 (neg.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (/.f64 h (.f64 d d)) M) M))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (neg.f64 (.f64 (*.f64 (neg.f64 d) d) l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (/.f64 h (.f64 d d)) M) M)) l)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 (neg.f64 d) d) l))
(/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/4 binary64)) (.f64 (*.f64 d d) l))
(neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (/.f64 h l))))
(.f64 (.f64 h (neg.f64 M)) (neg.f64 M))
(.f64 (.f64 h M) M)
(.f64 (neg.f64 M) (.f64 (neg.f64 M) h))
(.f64 (.f64 M M) h)
(.f64 h (.f64 M M))
(.f64 M (.f64 h M))
(/.f64 (fma.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 D #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 l (-.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (.f64 D D))))) (.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 l (-.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (.f64 D D))))) (pow.f64 l #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 l (-.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (.f64 D D))))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 l (-.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (*.f64 D D)))))))
(/.f64 (-.f64 (.f64 l l) (.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 D #s(literal 4 binary64)))) (-.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (.f64 D D))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 D #s(literal 4 binary64)) (.f64 (neg.f64 l) l))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (*.f64 D D)) l)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 D #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 l (-.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (.f64 D D)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 D #s(literal 4 binary64)) (.f64 (neg.f64 l) l)) (-.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (*.f64 D D)) l))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 D #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))) (fma.f64 l l (-.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 D #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) l)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 D #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 l (-.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (.f64 D D))))))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h d) M)) (/.f64 M d) l)
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 h d)) (.f64 (/.f64 M d) M) l)
(fma.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (*.f64 D D) l)
(fma.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) (*.f64 #s(literal -1/4 binary64) D) l)
(fma.f64 (.f64 (.f64 (/.f64 M d) #s(literal -1/4 binary64)) (.f64 D D)) (.f64 (/.f64 h d) M) l)
(fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M) D) D) #s(literal -1/4 binary64) l)
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M) l)
(fma.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) (.f64 #s(literal -1/4 binary64) (*.f64 D D)) l)
(fma.f64 (.f64 (/.f64 h d) M) (.f64 (.f64 (/.f64 M d) #s(literal -1/4 binary64)) (.f64 D D)) l)
(fma.f64 (/.f64 h d) (.f64 (.f64 (/.f64 M d) M) (.f64 #s(literal -1/4 binary64) (.f64 D D))) l)
(fma.f64 (/.f64 h d) (.f64 M (.f64 (.f64 (/.f64 M d) #s(literal -1/4 binary64)) (.f64 D D))) l)
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M) D) D) l)
(fma.f64 (.f64 D D) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M)) l)
(fma.f64 (/.f64 M d) (.f64 (.f64 (/.f64 h d) M) (.f64 #s(literal -1/4 binary64) (.f64 D D))) l)
(fma.f64 M (.f64 (/.f64 h d) (.f64 (.f64 (/.f64 M d) #s(literal -1/4 binary64)) (.f64 D D))) l)
(fma.f64 D (.f64 (.f64 #s(literal -1/4 binary64) D) (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M)) l)
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 D #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (.f64 D D)) l)) (/.f64 (.f64 l l) (-.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (.f64 D D)) l)))
(-.f64 l (.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) D)) #s(literal -1/4 binary64)))
(-.f64 l (.f64 (neg.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 (.f64 (/.f64 h (.f64 d d)) M) M)))
(-.f64 l (.f64 (neg.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M)) (.f64 #s(literal -1/4 binary64) (.f64 D D))))
(-.f64 l (.f64 (neg.f64 (.f64 (/.f64 h d) M)) (.f64 (.f64 (/.f64 M d) #s(literal -1/4 binary64)) (*.f64 D D))))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 D #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 l (-.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (.f64 D D)))))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 l (-.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (*.f64 D D)))))))
(+.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (.f64 D D)) l)
(+.f64 l (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) #s(literal -1/4 binary64)) (.f64 D D)))
(*.f64 (/.f64 h d) M)
(*.f64 h (/.f64 M d))
(*.f64 M (/.f64 h d))
(/.f64 (*.f64 (neg.f64 h) M) (neg.f64 d))
(/.f64 (*.f64 M (neg.f64 h)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 h M)) (neg.f64 d))
(/.f64 (*.f64 h M) d)

eval138.0ms (1.3%)

Memory: -2.1MiB live, 237.8MiB allocated; 125ms collecting garbage
Compiler: Compiled 26 385 to 3 281 computations (87.6% saved)

prune52.0ms (0.5%)

Memory

15.1MiB live, 120.3MiB allocated; 6ms collecting garbage

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	565	17	582
Fresh	5	13	18
Picked	3	2	5
Done	0	1	1
Total	573	33	606

Accuracy

91.6%

Counts

606 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.0%	(.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 M d) D) #s(literal 1/4 binary64)) (*.f64 (/.f64 h d) M)) (/.f64 D l))))) w0)
	70.3%	(.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)))))
	74.5%	(.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)))))
	79.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ ( h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l d) d)) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
	83.0%	(.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 D) M) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))))
	75.6%	(.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 D l) (.f64 (/.f64 D d) (/.f64 (.f64 M M) d))) #s(literal 1 binary64)))))
	78.0%	(.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 D d) (/.f64 (.f64 (.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
	74.3%	(.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 M D) M) (/.f64 D (.f64 (.f64 d d) l))) #s(literal 1 binary64)))))
	74.5%	(.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 D (.f64 (/.f64 M (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))))
✓	68.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 (.f64 D D) #s(literal -1/4 binary64)) l) l))))
	73.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) (*.f64 #s(literal -1/4 binary64) D) l) l))))
	84.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 h M) (.f64 (*.f64 (/.f64 M d) D) #s(literal 1/4 binary64))) d) D)) l))))
	63.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/4 binary64)) d) (/.f64 (.f64 D D) (*.f64 l d)) #s(literal 1 binary64)))))
✓	58.5%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) (*.f64 D D))))))
	63.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (/ D 2) (* (/ M d) (/ (* (/ M d) (* D h)) (* 2 l))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M M)) d) (/.f64 h (.f64 l d))) (.f64 D D))))))
	70.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) D) l) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
	70.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (.f64 (.f64 h M) (.f64 (/.f64 M l) D)) (.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
	74.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 h d) (.f64 (/.f64 M l) M)) d) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
	68.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 (.f64 d d) l)) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
	69.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 M l) (.f64 (.f64 (/.f64 h (.f64 d d)) M) D)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
	74.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) (/.f64 h (.f64 l d))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
	68.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 d d) l))) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
	70.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 M (/.f64 (.f64 h M) (.f64 (.f64 d d) l))) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
	60.0%	(.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 d) (/.f64 (.f64 M M) (*.f64 l d))) #s(literal 1 binary64))))
	59.6%	(.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 h (/.f64 (.f64 M M) (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
	64.9%	(.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 h (.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
	58.7%	(.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 h (.f64 (neg.f64 M) (/.f64 (neg.f64 M) (.f64 (.f64 d d) l)))) #s(literal 1 binary64))))
	59.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h #s(approx (/ ( M M) (* (* d d) l)) (.f64 (/.f64 M (.f64 d d)) (/.f64 M l)))) #s(literal 1 binary64))))
	68.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 (/.f64 h (.f64 d d)) M)) (*.f64 (/.f64 M l) D) #s(literal 1 binary64))))
	68.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 M (.f64 (/.f64 h (.f64 d d)) (.f64 (/.f64 M l) D))) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
	12.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
✓	66.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	61.9%	#s(approx (* w0 (sqrt (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 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))

Compiler

Compiled 3 455 to 1 396 computations (59.6% saved)

regimes230.0ms (2.1%)

Memory

-13.1MiB live, 308.3MiB allocated; 27ms collecting garbage

Counts

64 → 1

Calls

Call 1

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

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

Calls

15 calls:

18.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
17.0ms	h
16.0ms	M
16.0ms	w0
16.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
90.4%	1	`(/.f64 h l)`
90.4%	1	`(*.f64 #s(literal 2 binary64) d)`
90.4%	1	`(*.f64 M D)`
90.4%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
90.4%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
90.4%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
90.4%	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)))`
90.4%	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))))`
90.4%	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)))))`
90.4%	1	`w0`
90.4%	1	`M`
90.4%	1	`D`
90.4%	1	`h`
90.4%	1	`l`
90.4%	1	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes215.0ms (2%)

Memory

-12.4MiB live, 320.5MiB allocated; 51ms collecting garbage

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

24.0ms	w0
18.0ms	(.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)))))
16.0ms	l
15.0ms	d
14.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
85.3%	1	`D`
85.3%	1	`l`
88.2%	2	`(*.f64 #s(literal 2 binary64) d)`
90.0%	3	`(*.f64 M D)`
85.3%	1	`w0`
87.2%	2	`M`
88.2%	2	`d`
85.3%	1	`(/.f64 h l)`
89.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
89.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.9%	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)))`
88.8%	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))))`
88.5%	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)))))`
90.0%	3	`h`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes133.0ms (1.2%)

Memory

23.6MiB live, 209.7MiB allocated; 18ms collecting garbage

Counts

53 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

18.0ms	(.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)))))
16.0ms	h
15.0ms	(*.f64 #s(literal 2 binary64) d)
14.0ms	d
12.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
86.8%	2	`(*.f64 #s(literal 2 binary64) d)`
86.8%	2	`d`
88.8%	3	`(*.f64 M D)`
84.5%	1	`h`
86.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.5%	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)))))`
86.5%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
86.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 86 to 109 computations (-26.7% saved)

regimes175.0ms (1.6%)

Memory

-4.6MiB live, 227.1MiB allocated; 21ms collecting garbage

Counts

50 → 2

Calls

Call 1

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

Outputs

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

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

Calls

11 calls:

40.0ms	(*.f64 #s(literal 2 binary64) d)
17.0ms	M
15.0ms	l
15.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
13.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
86.8%	2	`(*.f64 #s(literal 2 binary64) d)`
86.8%	2	`d`
86.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.5%	1	`w0`
84.5%	1	`(/.f64 h l)`
84.5%	1	`l`
84.5%	1	`D`
84.5%	1	`M`
87.9%	3	`(*.f64 M D)`
86.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 43 to 86 computations (-100% saved)

regimes194.0ms (1.8%)

Memory

2.2MiB live, 238.5MiB allocated; 40ms collecting garbage

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

25.0ms	w0
15.0ms	D
14.0ms	l
13.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
13.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
83.0%	1	`w0`
85.2%	2	`M`
83.0%	1	`l`
83.0%	1	`(/.f64 h l)`
84.6%	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%	2	`D`
83.0%	1	`h`
85.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
85.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
85.2%	2	`(*.f64 M D)`
84.9%	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))))`
85.2%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.2%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
85.2%	2	`(*.f64 #s(literal 2 binary64) d)`
85.2%	2	`d`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes88.0ms (0.8%)

Memory

14.8MiB live, 151.6MiB allocated; 7ms collecting garbage

Counts

46 → 4

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	d
12.0ms	M
11.0ms	(*.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))
10.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
83.0%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.0%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
83.0%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
84.6%	2	`M`
83.0%	1	`(*.f64 #s(literal 2 binary64) d)`
83.0%	1	`d`
88.2%	4	`(*.f64 M D)`
83.0%	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)))`

Compiler

Compiled 52 to 76 computations (-46.2% saved)

regimes82.0ms (0.8%)

Memory

0.7MiB live, 139.0MiB allocated; 16ms collecting garbage

Counts

45 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

13.0ms	(.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)))))
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 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
11.0ms	D
11.0ms	M

Results

Accuracy	Segments	Branch
83.0%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.0%	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)))`
83.0%	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)))))`
83.0%	1	`M`
83.0%	1	`D`
83.0%	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))))`
83.0%	1	`(*.f64 M D)`

Compiler

Compiled 67 to 80 computations (-19.4% saved)

regimes147.0ms (1.3%)

Memory

6.5MiB live, 246.0MiB allocated; 15ms collecting garbage

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

15 calls:

13.0ms	d
11.0ms	D
11.0ms	(*.f64 #s(literal 2 binary64) d)
10.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
10.0ms	l

Results

Accuracy	Segments	Branch
83.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
81.0%	2	`(/.f64 h l)`
83.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
83.6%	3	`(*.f64 #s(literal 2 binary64) d)`
85.3%	3	`(*.f64 M D)`
81.0%	2	`w0`
83.8%	3	`M`
82.1%	2	`D`
79.2%	1	`h`
79.2%	1	`l`
83.6%	3	`d`
83.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
82.9%	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))))`
79.2%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes16.0ms (0.1%)

Memory

31.1MiB live, 31.1MiB allocated; 0ms collecting garbage

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	(*.f64 M D)
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
83.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
85.0%	3	`(*.f64 M D)`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes73.0ms (0.7%)

Memory

-11.6MiB live, 132.2MiB allocated; 8ms collecting garbage

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
80.8%	3	`(*.f64 #s(literal 2 binary64) d)`
80.8%	3	`d`
81.2%	3	`D`
78.7%	2	`M`
80.7%	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))))`
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))`
81.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.1%	3	`(*.f64 M D)`
82.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 69 to 98 computations (-42% saved)

regimes7.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

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
81.8%	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)

regimes114.0ms (1.1%)

Memory

-33.3MiB live, 154.6MiB allocated; 20ms collecting garbage

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

23.0ms	(*.f64 #s(literal 2 binary64) d)
12.0ms	(/.f64 h l)
6.0ms	l
6.0ms	h
6.0ms	w0

Results

Accuracy	Segments	Branch
76.9%	2	`M`
76.8%	2	`(*.f64 #s(literal 2 binary64) d)`
76.8%	2	`d`
78.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.0%	2	`D`
76.9%	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))))`
77.0%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
76.2%	2	`h`
74.6%	1	`l`
76.7%	2	`(/.f64 h l)`
74.6%	1	`w0`
77.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
78.1%	2	`(*.f64 M D)`
77.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes22.0ms (0.2%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

5.0ms	D
4.0ms	(*.f64 M D)
4.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
4.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
4.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
77.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
76.2%	2	`D`
76.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
76.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
76.1%	2	`(*.f64 M D)`

Compiler

Compiled 33 to 47 computations (-42.4% saved)

regimes8.0ms (0.1%)

Memory

-32.3MiB live, 13.4MiB allocated; 3ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms

(-.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)))

3.0ms

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

Results

Accuracy	Segments	Branch
76.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
77.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 28 to 28 computations (0% saved)

regimes21.0ms (0.2%)

Memory

40.0MiB live, 40.0MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
75.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
75.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
73.6%	2	`(/.f64 h l)`
72.6%	2	`(*.f64 #s(literal 2 binary64) d)`
72.6%	2	`d`
74.9%	2	`M`
75.7%	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))))`
75.7%	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)))))`
76.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 71 to 94 computations (-32.4% saved)

regimes21.0ms (0.2%)

Memory

-7.2MiB live, 41.3MiB allocated; 5ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

11 calls:

4.0ms	h
2.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms	w0
2.0ms	D
2.0ms	l

Results

Accuracy	Segments	Branch
74.1%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
74.1%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
74.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
74.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
74.5%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
72.3%	2	`(*.f64 M D)`
66.3%	1	`w0`
69.5%	3	`l`
66.3%	1	`D`
70.0%	3	`h`
75.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 85 to 113 computations (-32.9% saved)

regimes1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
75.4%	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)

regimes36.0ms (0.3%)

Memory

-21.5MiB live, 25.3MiB allocated; 2ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

13 calls:

23.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
1.0ms	(.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)))))
1.0ms	h
1.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	l

Results

Accuracy	Segments	Branch
66.3%	1	`l`
66.3%	1	`h`
66.3%	1	`(*.f64 M D)`
66.3%	1	`(*.f64 #s(literal 2 binary64) d)`
66.3%	1	`d`
66.3%	1	`(/.f64 h l)`
66.3%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
66.3%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
66.3%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
66.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
66.3%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
66.3%	1	`M`
66.3%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 91 to 128 computations (-40.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.977350163910842e+102	1.6151008417663342e+103

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.977350163910842e+102	1.6151008417663342e+103

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch21.0ms (0.2%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
18.0ms	1.3324693858224078e-209	1.7895585655893337e-206

Samples

10.0ms	112×	0	valid
3.0ms	28×	0	invalid

Compiler

Compiled 455 to 362 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (35.8% of total)

ival-div: 2.0ms (23.9% of total)

ival-sub: 1.0ms (11.9% of total)

ival-sqrt: 1.0ms (11.9% of total)

ival-pow2: 1.0ms (11.9% 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

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000000953

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch3.0ms (0%)

Memory

-43.6MiB live, 1.7MiB allocated; 3ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.424636072405875e+140	5.728113242647799e+146
0.0ms	3.0586767279162584e-131	8.342549690710925e-131
0.0ms	2.166895934334701e-276	7.760200081063511e-274

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.521539817037747e+171	6.343192795485139e+172
0.0ms	3.0586767279162584e-131	8.342549690710925e-131

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-681231091702.8505	-2.3252950073142866e-7

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-681231091702.8505	-2.3252950073142866e-7

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-681231091702.8505	-2.3252950073142866e-7

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3558090223786418e-111	5.0068256342382015e-110

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.053256460714792e+212	-1.3379016642705255e+185

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-8.845239316078304e+267

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-8.845239316078304e+267

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.778270866789562e+248	-4.053256460714792e+212

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-8.845239316078304e+267

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify68.0ms (0.6%)

Memory

43.3MiB live, 86.2MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	1290
1	289	1290
2	529	1288
3	2336	1288
4	5064	1288

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) (.f64 (/.f64 (.f64 (/.f64 M d) D) l) (/.f64 h #s(literal 2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 h M) (.f64 (.f64 (/.f64 M d) D) #s(literal 1/4 binary64))) d) D)) l)))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (*.f64 #s(literal 2 binary64) l))))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 h M) (.f64 (.f64 (/.f64 M d) D) #s(literal 1/4 binary64))) d) D)) l)))) (.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 M d) D) #s(literal 1/4 binary64)) (*.f64 (/.f64 h d) M)) (/.f64 D l))))) w0))
(if (<=.f64 d #s(literal 6940296704921315/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l))))) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 h M) (.f64 (*.f64 (/.f64 M d) D) #s(literal 1/4 binary64))) d) D)) l)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 1 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 h (.f64 M D)) (.f64 M D)) (.f64 #s(literal -2 binary64) d)) (.f64 (.f64 #s(literal -2 binary64) d) l))))))
(if (<=.f64 (.f64 M D) #s(literal 1218164251425/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 1248699420126397/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 h d) M) (/.f64 M d)) (.f64 (.f64 D D) #s(literal -1/4 binary64)) l) l)))) (if (<=.f64 (.f64 M D) #s(literal 400000000000000023713520496325948014825449955068181315459400297931998311313895922608093186032072498276607168949173531792918788654058329604096 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l d) d)) (.f64 #s(literal -1/4 binary64) h) #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 D l) (.f64 (/.f64 D d) (/.f64 (.f64 M M) d))) #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 D (*.f64 l d))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 1248699420126397/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 10000000000000000826871628571058023676436276965152235336326534308832671394311356729372731664122173896717192642523265688348930066834399772699475577180106550229078889679814656 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l d) d)) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 h d) (.f64 (/.f64 M l) M)) d) D) (.f64 #s(literal -1/8 binary64) 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 -500000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l d) d)) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000000000 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (/ (* h (pow (* D M) 2)) (* -2 d)) (* (* -2 d) l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) l)) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000000000 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 M (.f64 (.f64 M D) (/.f64 D (.f64 (.f64 d d) l)))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 M D) #s(literal 5415370496329717/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) (/.f64 h (.f64 l d))) D) (*.f64 #s(literal -1/8 binary64) 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 -399999999999999963837604179070150374006627674962305594347571169861089804111813204146136566953943952118278212154042665274723461119371548972648916747373110613225569624679447736153654194682660310737827119346707595264 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (.f64 (/.f64 M d) (/.f64 M (.f64 l d)))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (.f64 (neg.f64 M) (/.f64 (neg.f64 M) (.f64 (.f64 d d) l)))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 M (/.f64 (.f64 h M) (.f64 (.f64 d d) l))) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999960548416541607351328777021384687611118643325884835920630831966800139023707085267707205518204055907116200520239285727065764214062887637864581182125170853648392988706023732518458057027666759600481533739104277734798607669877628825763840 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 l d) d))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) (.f64 (/.f64 (.f64 (/.f64 M d) D) l) (/.f64 h #s(literal 2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 h M) (.f64 (.f64 (/.f64 M d) D) #s(literal 1/4 binary64))) d) D)) l)))) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) (/.f64 (.f64 (/.f64 M d) (.f64 D h)) (*.f64 #s(literal 2 binary64) l))))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (.f64 (/.f64 (.f64 (.f64 h M) (.f64 (.f64 (/.f64 M d) D) #s(literal 1/4 binary64))) d) D)) l)))) (.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 M d) D) #s(literal 1/4 binary64)) (*.f64 (/.f64 h d) M)) (/.f64 D l))))) w0))
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(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)) (.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 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

derivations1.4s (12.9%)

Memory

-7.3MiB live, 1 035.3MiB allocated; 206ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	655
0	121	677
1	415	618
2	3083	588
0	10259	580
0	64	492
0	107	492
1	332	450
2	2300	442
0	9302	442
0	79	646
0	129	640
1	439	592
2	3260	576
0	8380	576
0	17	69
0	26	69
1	75	69
2	410	69
3	7218	69
0	8457	66
0	626	4390
1	2407	4334
0	9499	4188
0	663	4676
1	2505	4620
0	8497	4469

Stop Event

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

Compiler

Compiled 1 288 to 223 computations (82.7% saved)

preprocess188.0ms (1.7%)

Memory

-15.2MiB live, 317.5MiB allocated; 40ms collecting garbage

Remove

(negabs w0)

(abs D)

(abs d)

Compiler

Compiled 2 934 to 746 computations (74.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze576.0ms (5.3%)

sample2.6s (24.3%)

explain315.0ms (2.9%)

preprocess175.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify136.0ms (1.3%)

localize51.0ms (0.5%)

series66.0ms (0.6%)

simplify200.0ms (1.8%)

rewrite158.0ms (1.5%)

eval119.0ms (1.1%)

prune21.0ms (0.2%)

simplify201.0ms (1.8%)

localize145.0ms (1.3%)

series102.0ms (0.9%)

simplify192.0ms (1.8%)

rewrite181.0ms (1.7%)

eval69.0ms (0.6%)

prune30.0ms (0.3%)

simplify262.0ms (2.4%)

localize211.0ms (1.9%)

series100.0ms (0.9%)

simplify232.0ms (2.1%)

rewrite168.0ms (1.5%)

eval109.0ms (1%)

prune37.0ms (0.3%)

simplify139.0ms (1.3%)

localize195.0ms (1.8%)

series154.0ms (1.4%)

simplify167.0ms (1.5%)

rewrite267.0ms (2.5%)

eval138.0ms (1.3%)

prune52.0ms (0.5%)

regimes230.0ms (2.1%)

regimes215.0ms (2%)

regimes133.0ms (1.2%)

regimes175.0ms (1.6%)

regimes194.0ms (1.8%)

regimes88.0ms (0.8%)

regimes82.0ms (0.8%)

regimes147.0ms (1.3%)

regimes16.0ms (0.1%)

regimes73.0ms (0.7%)

regimes7.0ms (0.1%)

regimes114.0ms (1.1%)

regimes22.0ms (0.2%)

regimes8.0ms (0.1%)

regimes21.0ms (0.2%)

regimes21.0ms (0.2%)

regimes1.0ms (0%)

regimes36.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify68.0ms (0.6%)

derivations1.4s (12.9%)

preprocess188.0ms (1.7%)

end0.0ms (0%)

Profiling