Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze445.0ms (3%)

Memory

-15.8MiB live, 716.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.6s (17.1%)

Memory

23.2MiB live, 2 017.9MiB allocated

Samples

1.3s	8 256×	0	valid
587.0ms	2 733×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 615.0ms (47.6% of total)

ival-div: 290.0ms (22.5% of total)

ival-pow2: 196.0ms (15.2% of total)

ival-sub: 92.0ms (7.1% of total)

ival-sqrt: 73.0ms (5.7% of total)

exact: 12.0ms (0.9% of total)

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

ival-assert: 5.0ms (0.4% of total)

Bogosity

explain269.0ms (1.8%)

Memory

-0.5MiB live, 353.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	oflow-rescue	24	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	45
↳	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`	overflow	46
↳	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	overflow	22
↳	`(*.f64 M D)`	overflow	16
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	22
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	46
↳	`(/.f64 h l)`	overflow	24
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	8	0
↳	`(*.f64 M D)`	overflow	16
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	7	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	45
↳	`(*.f64 M D)`	overflow	16
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	22
↳	`(/.f64 h l)`	underflow	40
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	2	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	44
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	124
↳	`(*.f64 M D)`	underflow	44
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	66
↳	`(/.f64 h l)`	overflow	24

Confusion

	Predicted +	Predicted -
+	34	15
-	9	198

Precision

0.7906976744186046

Recall

0.6938775510204082

Confusion?

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

Precision?

0.7906976744186046

Recall?

0.6938775510204082

Freqs

test

number	freq
0	213
1	38
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms

512×

valid

Compiler

Compiled 307 to 72 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 16.0ms (43.6% of total)

ival-div: 8.0ms (21.8% of total)

ival-pow2: 5.0ms (13.6% of total)

ival-sqrt: 4.0ms (10.9% of total)

ival-sub: 3.0ms (8.2% of total)

ival-true: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

preprocess195.0ms (1.3%)

Memory

-12.2MiB live, 220.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify108.0ms (0.7%)

Memory

-6.2MiB live, 189.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (0.5%)

Memory

-3.4MiB live, 126.2MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

57.0ms

256×

valid

Compiler

Compiled 192 to 36 computations (81.3% saved)

Precisions

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

ival-pow2: 21.0ms (49.5% of total)

ival-div: 11.0ms (25.9% of total)

ival-mult: 6.0ms (14.1% of total)

ival-sqrt: 2.0ms (4.7% of total)

ival-sub: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series75.0ms (0.5%)

Memory

30.9MiB live, 182.1MiB allocated

Counts

5 → 288

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

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	h	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
7.0ms	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	d	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
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)))
5.0ms	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)))

simplify484.0ms (3.2%)

Memory

-142.4MiB live, 433.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	7690
1	2185	7668
0	8480	7462

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 281

Calls

Call 1

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

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

rewrite264.0ms (1.8%)

Memory

-16.9MiB live, 299.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 411

Calls

Call 1

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

Outputs
(.f64 (.f64 w0 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))
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(.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) M))) (exp.f64 (log.f64 (/.f64 D d))))
(.f64 (exp.f64 (log.f64 (.f64 D M))) (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) d))))
(.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D))))
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(.f64 (/.f64 D d) (.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)))
(.f64 (/.f64 D d) (.f64 #s(literal 1/2 binary64) M))
(.f64 (.f64 #s(literal 1/2 binary64) M) (*.f64 (/.f64 D d) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d))
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(.f64 (.f64 (neg.f64 M) D) (/.f64 #s(literal -1/2 binary64) d))
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(.f64 D (.f64 (neg.f64 M) (/.f64 #s(literal -1/2 binary64) d)))
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(.f64 D (.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(.f64 M (.f64 #s(literal 1/2 binary64) (/.f64 D d)))
(.f64 M (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))
(.f64 M (.f64 (/.f64 #s(literal 1/2 binary64) d) D))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
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(pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 M) D) (pow.f64 d #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (neg.f64 D)) (neg.f64 d))
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(/.f64 (.f64 M #s(literal 1 binary64)) (.f64 d (/.f64 #s(literal 2 binary64) D)))
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(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal -2 binary64))
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(/.f64 (exp.f64 (log.f64 (.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (.f64 #s(literal -2 binary64) d))))
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(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) D) M))
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M))
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D))
(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 d M) D)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) D) (neg.f64 (neg.f64 d)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) D) d)
(/.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (*.f64 D M) #s(literal -1 binary64)))
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d D))
(/.f64 (.f64 (neg.f64 M) D) (.f64 #s(literal -2 binary64) d))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d M) D))
(/.f64 (.f64 D M) (.f64 d #s(literal 2 binary64)))
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))
(neg.f64 (.f64 (/.f64 (.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(literal 1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) d)) (/.f64 (.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))

eval99.0ms (0.7%)

Memory: 24.7MiB live, 217.3MiB allocated
Compiler: Compiled 24 537 to 2 868 computations (88.3% saved)

prune32.0ms (0.2%)

Memory

14.7MiB live, 92.8MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	678	14	692
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	679	14	693

Accuracy

90.7%

Counts

693 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
	79.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
	79.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
	84.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
▶	82.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
▶	89.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
▶	69.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 l h) (*.f64 d d))))))
	76.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 M l) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64)))))))
	72.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (/.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) (/.f64 l h))))))
▶	73.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	11.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	60.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
▶	72.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	58.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))

Compiler

Compiled 768 to 608 computations (20.8% saved)

simplify109.0ms (0.7%)

Memory

1.4MiB live, 163.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 l h) (.f64 d d)))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 l h) (*.f64 d d))))))
cost-diff	512	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 l h) (.f64 d d))))
cost-diff	0	(/.f64 h l)
cost-diff	0	(.f64 (/.f64 h l) (/.f64 (.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
cost-diff	0	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
cost-diff	0	#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 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
cost-diff	128	(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	559
0	103	580
1	212	568
2	718	526
3	4805	516
0	8175	516

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (1.4%)

Memory

-29.4MiB live, 326.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.6911640274167543	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 l h) (*.f64 d d))))))
accuracy	5.599394528739232	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 l h) (.f64 d d)))))
accuracy	11.943875340696547	(.f64 (/.f64 l h) (.f64 d d))
accuracy	13.41100332167622	(/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 l h) (.f64 d d)))
accuracy	4.580868293291274	(/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
accuracy	6.086478478151166	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	10.477031740958312	(.f64 (/.f64 h l) (/.f64 (.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
accuracy	5.599394528739232	(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	6.298053916878139	(.f64 (.f64 M M) D)
accuracy	7.399746651930072	(.f64 (.f64 d d) l)
accuracy	12.028075486037455	(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 d d) l))
accuracy	1.6911640274167543	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	17.780943615176213	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	5.51024796171667	(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
accuracy	6.086478478151166	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	7.090386840116454	(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))

Samples

130.0ms

256×

valid

Compiler

Compiled 1 066 to 124 computations (88.4% saved)

Precisions

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

ival-mult: 61.0ms (61.7% of total)

ival-div: 18.0ms (18.2% of total)

ival-sqrt: 7.0ms (7.1% of total)

ival-pow2: 5.0ms (5.1% of total)

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

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

exact: 1.0ms (1% of total)

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

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

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

series224.0ms (1.5%)

Memory

-3.2MiB live, 258.4MiB allocated

Counts

25 → 1 320

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
51.0ms	D	@	0	((/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* (* (/ 1/2 d) M) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (/ h l) (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (* (pow (* D M) 2) 1/4) (* (* D 1/2) (* (/ M d) h)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ (* (* D M) -1/2) d) (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))) (* (/ l h) (* d d)))
44.0ms	h	@	0	((/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* (* (/ 1/2 d) M) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (/ h l) (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (* (pow (* D M) 2) 1/4) (* (* D 1/2) (* (/ M d) h)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ (* (* D M) -1/2) d) (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))) (* (/ l h) (* d d)))
32.0ms	l	@	inf	((/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* (* (/ 1/2 d) M) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (/ h l) (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (* (pow (* D M) 2) 1/4) (* (* D 1/2) (* (/ M d) h)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ (* (* D M) -1/2) d) (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))) (* (/ l h) (* d d)))
7.0ms	d	@	-inf	((/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* (* (/ 1/2 d) M) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (/ h l) (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (* (pow (* D M) 2) 1/4) (* (* D 1/2) (* (/ M d) h)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ (* (* D M) -1/2) d) (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))) (* (/ l h) (* d d)))
7.0ms	M	@	inf	((/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* (* (/ 1/2 d) M) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (/ h l) (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (* (pow (* D M) 2) 1/4) (* (* D 1/2) (* (/ M d) h)) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ (* (* D M) -1/2) d) (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))) (* (/ l h) (* d d)))

simplify290.0ms (1.9%)

Memory

28.1MiB live, 523.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	654	34633
1	2262	34433
0	8151	33427

Stop Event

1×	iter limit
1×	node limit

Counts

1 320 → 1 285

Calls

Call 1

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

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

rewrite262.0ms (1.8%)

Memory

-7.3MiB live, 398.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	408
0	103	411
1	346	375
2	2702	375
0	8595	372

Stop Event

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

Counts

25 → 589

Calls

Call 1

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

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

eval311.0ms (2.1%)

Memory: 31.6MiB live, 606.5MiB allocated
Compiler: Compiled 85 519 to 4 075 computations (95.2% saved)

prune125.0ms (0.8%)

Memory

-22.2MiB live, 171.2MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 970	15	1 985
Fresh	7	2	9
Picked	4	1	5
Done	0	0	0
Total	1 981	18	1 999

Accuracy

91.1%

Counts

1 999 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
▶	88.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
▶	79.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
	82.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (/.f64 #s(literal -1/2 binary64) d)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	85.9%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (*.f64 l d))) #s(literal 1 binary64))))
	84.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))
	75.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (*.f64 d d) l) h)))))))
	11.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	76.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
▶	72.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (*.f64 d d)) #s(literal 1 binary64)))))
▶	77.2%	(.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 (.f64 l d) d)) #s(literal 1 binary64)))))
	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 D) M) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	81.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))))
	69.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))))
	75.1%	(.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 M (.f64 (.f64 M D) (/.f64 D (.f64 (.f64 d d) l)))) #s(literal 1 binary64)))))
	60.4%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
✓	72.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	58.0%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))

Compiler

Compiled 1 146 to 877 computations (23.5% saved)

simplify122.0ms (0.8%)

Memory

-17.8MiB live, 131.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	686
0	126	685
1	266	659
2	896	649
3	5129	649
0	8425	647

Stop Event

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

Calls

Call 1

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

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

localize227.0ms (1.5%)

Memory

25.8MiB live, 291.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.6911640274167543	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
accuracy	6.815875715887611	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy	9.071596112655632	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))))
accuracy	5.599394528739232	(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) (/.f64 D l)) (*.f64 d d)) #s(literal 1 binary64))))
accuracy	6.298053916878139	(.f64 (.f64 M M) D)
accuracy	7.309661349748176	(.f64 (.f64 (*.f64 M M) D) (/.f64 D l))
accuracy	11.785011134058964	(/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (.f64 d d))
accuracy	3.6236880754552723	(.f64 (.f64 (*.f64 M M) D) D)
accuracy	5.599394528739232	(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))))
accuracy	6.298053916878139	(.f64 (.f64 M M) D)
accuracy	12.028075486037455	(/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (*.f64 l d) d))
accuracy	8.114435838263542	(.f64 (.f64 M M) h)
accuracy	10.268384750566915	(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0)
accuracy	11.401437226844283	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
accuracy	14.751904862680409	(.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d)))
accuracy	5.51024796171667	(/.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h) l)
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) h) l) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
accuracy	6.086478478151166	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	6.675335364196244	(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h)

Samples

164.0ms

256×

valid

Compiler

Compiled 1 248 to 156 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 56.0ms (55.3% of total)

ival-div: 23.0ms (22.7% of total)

ival-sqrt: 7.0ms (6.9% of total)

ival-add: 6.0ms (5.9% of total)

ival-pow2: 5.0ms (4.9% of total)

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

exact: 1.0ms (1% of total)

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

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

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

series257.0ms (1.7%)

Memory

-6.2MiB live, 372.5MiB allocated

Counts

29 → 1 416

Calls

Call 1

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

Calls

18 calls:

Time	Variable		Point	Expression
46.0ms	D	@	-inf	((* w0 (sqrt (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1) (/ (* (/ (* -1/2 (* M D)) d) h) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (* -1/8 (* D D)) (* D D) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* h -1/4) (* 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))) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (/ (neg h) l) (* (/ (* -1/2 (* M D)) d) h) (* (* (/ 1/2 d) M) D) (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (/ (* (* (* M M) D) (/ D l)) (* d d)) (* (* (* M M) D) (/ D l)) (* (/ D d) (* (* M M) 1/4)))
23.0ms	d	@	0	((* w0 (sqrt (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1) (/ (* (/ (* -1/2 (* M D)) d) h) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (* -1/8 (* D D)) (* D D) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* h -1/4) (* 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))) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (/ (neg h) l) (* (/ (* -1/2 (* M D)) d) h) (* (* (/ 1/2 d) M) D) (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (/ (* (* (* M M) D) (/ D l)) (* d d)) (* (* (* M M) D) (/ D l)) (* (/ D d) (* (* M M) 1/4)))
11.0ms	h	@	-inf	((* w0 (sqrt (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1) (/ (* (/ (* -1/2 (* M D)) d) h) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (* -1/8 (* D D)) (* D D) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* h -1/4) (* 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))) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (/ (neg h) l) (* (/ (* -1/2 (* M D)) d) h) (* (* (/ 1/2 d) M) D) (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (/ (* (* (* M M) D) (/ D l)) (* d d)) (* (* (* M M) D) (/ D l)) (* (/ D d) (* (* M M) 1/4)))
8.0ms	w0	@	inf	((* w0 (sqrt (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1) (/ (* (/ (* -1/2 (* M D)) d) h) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (* -1/8 (* D D)) (* D D) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* h -1/4) (* 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))) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (/ (neg h) l) (* (/ (* -1/2 (* M D)) d) h) (* (* (/ 1/2 d) M) D) (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (/ (* (* (* M M) D) (/ D l)) (* d d)) (* (* (* M M) D) (/ D l)) (* (/ D d) (* (* M M) 1/4)))
8.0ms	M	@	inf	((* w0 (sqrt (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (/ (* -1/2 (* M D)) d) h) l) (* (* (/ 1/2 d) M) D)) 1) (/ (* (/ (* -1/2 (* M D)) d) h) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (* -1/8 (* D D)) (* D D) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* h -1/4) (* 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))) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (/ (neg h) l) (* (/ (* -1/2 (* M D)) d) h) (* (* (/ 1/2 d) M) D) (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (/ (* (* (* M M) D) (/ D l)) (* d d)) (* (* (* M M) D) (/ D l)) (* (/ D d) (* (* M M) 1/4)))

simplify262.0ms (1.8%)

Memory

-1.8MiB live, 420.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	687	34353
1	2368	34209
0	8511	33222

Stop Event

1×	iter limit
1×	node limit

Counts

1 416 → 1 374

Calls

Call 1

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

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

rewrite283.0ms (1.9%)

Memory

-0.9MiB live, 306.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	509
0	126	511
1	445	464
2	3540	464
0	10982	461

Stop Event

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

Counts

29 → 661

Calls

Call 1

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

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

eval455.0ms (3.1%)

Memory: 34.1MiB live, 418.1MiB allocated
Compiler: Compiled 94 912 to 3 841 computations (96% saved)

prune173.0ms (1.2%)

Memory

-43.0MiB live, 184.0MiB allocated

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	2 058	19	2 077
Fresh	5	7	12
Picked	5	0	5
Done	0	1	1
Total	2 068	27	2 095

Accuracy

91.4%

Counts

2 095 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
	79.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) D) (neg.f64 h)) (.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
▶	88.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (/.f64 D d))) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	82.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
▶	85.9%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (*.f64 l d))) #s(literal 1 binary64))))
	82.5%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
	75.4%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (*.f64 d d) l) h)))))))
▶	11.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
	76.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
	86.1%	(.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 l) (.f64 M (/.f64 D d))) D) 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 (/.f64 D l) M) (.f64 D M)) (*.f64 d d)) #s(literal 1 binary64)))))
	79.0%	(.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 D M) M) D) (.f64 (.f64 l d) d)) #s(literal 1 binary64)))))
	81.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))))
	69.1%	(.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 M M) (.f64 l d)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))))
	78.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) #s(literal 1 binary64)))))
	60.4%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
✓	72.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	68.3%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) l) h)) w0))
	65.4%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) (/.f64 w0 d)) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0))
	64.2%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 d (neg.f64 l))) w0))
	61.5%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) w0) (.f64 l (*.f64 (neg.f64 d) d))) w0))
▶	58.8%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 h M) M) l) (/.f64 w0 (.f64 d d))) w0))
	62.2%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
	54.1%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
	58.5%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
▶	70.3%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l)) w0)))
	9.9%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))

Compiler

Compiled 1 972 to 1 463 computations (25.8% saved)

simplify197.0ms (1.3%)

Memory

24.1MiB live, 101.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	700
0	127	698
1	267	686
2	868	672
3	3127	672
4	4893	672
5	6899	672
0	8130	667

Stop Event

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

Calls

Call 1

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

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

localize189.0ms (1.3%)

Memory

5.3MiB live, 276.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.1154398467373605	(.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (.f64 l d)))
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (.f64 l d))) #s(literal 1 binary64)))
accuracy	6.086478478151166	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	10.414998820951023	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (*.f64 l d))
accuracy	7.763149011217512	(/.f64 h (*.f64 d d))
accuracy	11.290550714534874	(.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy	12.569671427111643	(.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))
accuracy	44.11136762536626	#s(approx (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))
accuracy	6.853833208580803	(/.f64 w0 (*.f64 d d))
accuracy	10.268384750566915	(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 h M) M) l) (/.f64 w0 (.f64 d d))) w0)
accuracy	11.401437226844283	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 h M) M) l) (/.f64 w0 (.f64 d d))) w0))
accuracy	14.751904862680409	(.f64 (/.f64 (.f64 (.f64 h M) M) l) (/.f64 w0 (.f64 d d)))
accuracy	7.399746651930072	(.f64 (.f64 d d) l)
accuracy	8.114435838263542	(.f64 (.f64 M M) h)
accuracy	11.401437226844283	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l)) w0)))
accuracy	12.683102515468914	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (.f64 d d) l))
accuracy	5.51024796171667	(/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (*.f64 M (/.f64 D d))) l)
accuracy	5.599394528739232	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (/.f64 D d))) l) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
accuracy	6.086478478151166	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	6.679241614196244	(.f64 (.f64 h #s(literal -1/2 binary64)) (*.f64 M (/.f64 D d)))

Samples

140.0ms

256×

valid

Compiler

Compiled 1 271 to 153 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 51.0ms (52.6% of total)

ival-div: 29.0ms (29.9% of total)

ival-add: 6.0ms (6.2% of total)

ival-sqrt: 6.0ms (6.2% of total)

ival-pow2: 2.0ms (2.1% of total)

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

exact: 1.0ms (1% of total)

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

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

series211.0ms (1.4%)

Memory

-16.6MiB live, 187.3MiB allocated

Counts

31 → 1 524

Calls

Call 1

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

Calls

18 calls:

Time	Variable		Point	Expression
37.0ms	D	@	0	((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1) (/ (* (* h -1/2) (* M (/ D d))) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (* -1/8 (* D D)) (* D D) (/ (* (* h M) M) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (* (* D D) -1/4) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1) (* (* (/ 1/2 d) M) D) (* (* h -1/2) (* M (/ D d))) (* (* M M) h) (* (* d d) l) (* (/ (* (* h M) M) l) (/ w0 (* d d))) (+ (* (* -1/8 (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d)))) w0) (/ w0 (* d d)) (* (* (* D D) -1/4) (* (/ h (* d d)) (/ (* M M) l))) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (/ (* -1/2 (* M D)) (* l d)) (* h (/ (* -1/2 (* M D)) (* l d))))
34.0ms	w0	@	-inf	((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1) (/ (* (* h -1/2) (* M (/ D d))) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (* -1/8 (* D D)) (* D D) (/ (* (* h M) M) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (* (* D D) -1/4) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1) (* (* (/ 1/2 d) M) D) (* (* h -1/2) (* M (/ D d))) (* (* M M) h) (* (* d d) l) (* (/ (* (* h M) M) l) (/ w0 (* d d))) (+ (* (* -1/8 (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d)))) w0) (/ w0 (* d d)) (* (* (* D D) -1/4) (* (/ h (* d d)) (/ (* M M) l))) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (/ (* -1/2 (* M D)) (* l d)) (* h (/ (* -1/2 (* M D)) (* l d))))
15.0ms	h	@	-inf	((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1) (/ (* (* h -1/2) (* M (/ D d))) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (* -1/8 (* D D)) (* D D) (/ (* (* h M) M) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (* (* D D) -1/4) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1) (* (* (/ 1/2 d) M) D) (* (* h -1/2) (* M (/ D d))) (* (* M M) h) (* (* d d) l) (* (/ (* (* h M) M) l) (/ w0 (* d d))) (+ (* (* -1/8 (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d)))) w0) (/ w0 (* d d)) (* (* (* D D) -1/4) (* (/ h (* d d)) (/ (* M M) l))) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (/ (* -1/2 (* M D)) (* l d)) (* h (/ (* -1/2 (* M D)) (* l d))))
11.0ms	d	@	0	((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1) (/ (* (* h -1/2) (* M (/ D d))) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (* -1/8 (* D D)) (* D D) (/ (* (* h M) M) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (* (* D D) -1/4) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1) (* (* (/ 1/2 d) M) D) (* (* h -1/2) (* M (/ D d))) (* (* M M) h) (* (* d d) l) (* (/ (* (* h M) M) l) (/ w0 (* d d))) (+ (* (* -1/8 (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d)))) w0) (/ w0 (* d d)) (* (* (* D D) -1/4) (* (/ h (* d d)) (/ (* M M) l))) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (/ (* -1/2 (* M D)) (* l d)) (* h (/ (* -1/2 (* M D)) (* l d))))
6.0ms	M	@	-inf	((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* M (/ D d))) l) (* (* (/ 1/2 d) M) D)) 1) (/ (* (* h -1/2) (* M (/ D d))) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (/ (* (* (* (* M M) h) D) D) (* (* d d) l)) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (* -1/8 (* D D)) (* D D) (/ (* (* h M) M) l) (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (* (* D D) -1/4) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (* h (/ (* -1/2 (* M D)) (* l d)))) 1) (* (* (/ 1/2 d) M) D) (* (* h -1/2) (* M (/ D d))) (* (* M M) h) (* (* d d) l) (* (/ (* (* h M) M) l) (/ w0 (* d d))) (+ (* (* -1/8 (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d)))) w0) (/ w0 (* d d)) (* (* (* D D) -1/4) (* (/ h (* d d)) (/ (* M M) l))) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (/ (* -1/2 (* M D)) (* l d)) (* h (/ (* -1/2 (* M D)) (* l d))))

simplify352.0ms (2.4%)

Memory

26.6MiB live, 298.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	685	34526
1	2356	34390
0	8481	33431

Stop Event

1×	iter limit
1×	node limit

Counts

1 524 → 1 475

Calls

Call 1

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

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

rewrite309.0ms (2.1%)

Memory

-29.1MiB live, 387.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	549
0	127	547
1	431	541
2	2882	541
0	9221	536

Stop Event

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

Counts

31 → 648

Calls

Call 1

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

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

eval464.0ms (3.1%)

Memory: 20.1MiB live, 600.6MiB allocated
Compiler: Compiled 107 940 to 3 886 computations (96.4% saved)

prune108.0ms (0.7%)

Memory

22.0MiB live, 338.9MiB allocated

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	2 173	17	2 190
Fresh	10	11	21
Picked	4	1	5
Done	0	1	1
Total	2 187	30	2 217

Accuracy

91.8%

Counts

2 217 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.8%	(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
	84.7%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 #s(literal -1/2 binary64) h)) D) (.f64 l d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
	84.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (.f64 (.f64 D h) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) l) M) (/.f64 D d))) #s(literal 1 binary64))))
✓	85.9%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (*.f64 l d))) #s(literal 1 binary64))))
	12.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 (*.f64 d d) l)))))
	15.4%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) D) (.f64 #s(literal -1/4 binary64) D)))))
	14.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (/.f64 (.f64 (neg.f64 M) (.f64 M h)) (.f64 d (*.f64 (neg.f64 d) l)))))))
	16.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M h) d) (/.f64 M (.f64 l d)))))))
	76.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
	86.1%	(.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 l) (.f64 M (/.f64 D d))) D) d) #s(literal 1 binary64)))))
	79.0%	(.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 D M) M) D) (.f64 (.f64 l d) d)) #s(literal 1 binary64)))))
	81.4%	(.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)))))
	78.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) #s(literal 1 binary64)))))
	66.7%	(.f64 w0 #s(approx (sqrt (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 M M) D) D) (/.f64 h l)) #s(literal 1 binary64))))
✓	72.3%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	68.3%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) l) h)) w0))
	65.4%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) (/.f64 w0 d)) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0))
	64.2%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 d (neg.f64 l))) w0))
	62.2%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
	58.3%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) (/.f64 w0 l)) w0))
	58.5%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
	30.8%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) (/.f64 w0 d)) (.f64 D D)) #s(literal 2 binary64)) #s(literal 1/64 binary64) (.f64 (neg.f64 w0) w0)) (fma.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) (/.f64 w0 d)) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) (neg.f64 w0))))
	9.9%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d)))) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
	78.5%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (*.f64 D h) d)) D) l) w0)))
	71.1%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 M h) M) D) D) (.f64 (*.f64 d d) l)) w0)))
	68.3%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D l)) (.f64 d d)) w0)))
	73.4%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 l d) d)) w0)))
	75.6%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) (/.f64 D (.f64 l d))) w0)))
	59.8%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) (/.f64 (.f64 D D) l)) w0)))
	70.7%	#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (/.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (*.f64 d d) l))) w0)))

Compiler

Compiled 3 821 to 1 420 computations (62.8% saved)

regimes525.0ms (3.5%)

Memory

-21.2MiB live, 703.6MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (/.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (*.f64 l d) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 M h) M) D) D) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 w0 (.f64 (*.f64 l d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 (neg.f64 M) (.f64 h M)) w0) (.f64 l (*.f64 (neg.f64 d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d)))) w0) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) (/.f64 (.f64 D D) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) d) (/.f64 D (.f64 l d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D l)) (.f64 d d)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) (/.f64 w0 l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 (/.f64 w0 (.f64 d d)) (.f64 M M)) (/.f64 h l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 h M) M) l) (/.f64 w0 (.f64 d d))) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 (.f64 (*.f64 M M) D) D) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 d (neg.f64 l))) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 M (.f64 (.f64 M D) (/.f64 D (.f64 (.f64 d d) l)))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M D) M) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 l d) d)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 (*.f64 D h) d)) D) l) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) (/.f64 w0 d)) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (/.f64 (.f64 (neg.f64 M) (.f64 M h)) (.f64 d (*.f64 (neg.f64 d) l)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (.f64 (.f64 (.f64 D D) #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M h) d) (/.f64 M (.f64 l d)))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 (/ ( (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) D) (.f64 #s(literal -1/4 binary64) D)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M M) 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))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 M M) (.f64 l d)) (/.f64 (*.f64 D D) 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 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) (/.f64 D l)) (*.f64 d d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (/.f64 D l) M) (.f64 D M)) (*.f64 d d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (*.f64 d d) l) h)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) D) (neg.f64 h)) (.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (*.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 #s(literal -1/2 binary64) h)) D) (.f64 l d)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) 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 l) (.f64 M (/.f64 D d))) D) d) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 (/.f64 (.f64 M M) d) (/.f64 D d)) (.f64 (/.f64 D l) (.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (* D 1/2) (* (/ M d) h)) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (.f64 (.f64 D h) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) l) M) (/.f64 D d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (/.f64 #s(literal -1/2 binary64) d)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) (.f64 (.f64 (/.f64 h l) D) (.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (/.f64 D d))) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (/.f64 w0 (.f64 d d)) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) l) h)) w0))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 l h) (*.f64 d d))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 M (/.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) (/.f64 l h))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) (/.f64 w0 d)) (.f64 D D)) #s(literal 2 binary64)) #s(literal 1/64 binary64) (.f64 (neg.f64 w0) w0)) (fma.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) (/.f64 w0 d)) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) (neg.f64 w0))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 M l) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64)))))))
(.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))

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

Calls

15 calls:

139.0ms	(.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)))))
97.0ms	(/.f64 h l)
35.0ms	d
34.0ms	l
27.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))

Results

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

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes301.0ms (2%)

Memory

39.8MiB live, 660.7MiB allocated

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

33.0ms	(*.f64 #s(literal 2 binary64) d)
29.0ms	(/.f64 h l)
25.0ms	w0
23.0ms	d
22.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
88.5%	1	`M`
88.5%	1	`l`
88.5%	1	`d`
88.5%	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)))))`
88.5%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.5%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
90.3%	2	`(*.f64 M D)`
88.5%	1	`(*.f64 #s(literal 2 binary64) d)`
88.5%	1	`(/.f64 h l)`
88.5%	1	`w0`
88.5%	1	`D`
88.5%	1	`h`
88.5%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.5%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.5%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes316.0ms (2.1%)

Memory

0.9MiB live, 605.2MiB allocated

Counts

56 → 1

Calls

Call 1

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

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

Calls

15 calls:

45.0ms	(*.f64 #s(literal 2 binary64) d)
37.0ms	(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))))
25.0ms	(*.f64 M D)
20.0ms	D
19.0ms	h

Results

Accuracy	Segments	Branch
88.4%	1	`w0`
88.4%	1	`M`
88.4%	1	`D`
88.4%	1	`d`
88.4%	1	`(*.f64 #s(literal 2 binary64) d)`
88.4%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.4%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.4%	1	`h`
88.4%	1	`l`
88.4%	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)))))`
88.4%	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))))`
88.4%	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)))`
88.4%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.4%	1	`(/.f64 h l)`
88.4%	1	`(*.f64 M D)`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes333.0ms (2.2%)

Memory

-26.6MiB live, 461.2MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

92.0ms	(*.f64 #s(literal 2 binary64) d)
25.0ms	(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))))
19.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
18.0ms	(/.f64 h l)
17.0ms	l

Results

Accuracy	Segments	Branch
86.1%	1	`w0`
86.1%	1	`M`
88.0%	2	`D`
88.0%	2	`l`
88.0%	2	`d`
89.5%	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)))))`
89.5%	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))))`
89.5%	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)))`
89.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.6%	3	`(*.f64 M D)`
88.0%	2	`(*.f64 #s(literal 2 binary64) d)`
86.1%	1	`h`
90.6%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
91.0%	4	`(/.f64 h l)`
90.2%	3	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes63.0ms (0.4%)

Memory

9.8MiB live, 125.4MiB allocated

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

Outputs

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

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

Calls

4 calls:

20.0ms	(.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)))))
14.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
13.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
12.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))

Results

Accuracy	Segments	Branch
89.4%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
89.4%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
89.4%	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)))`
89.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 62 to 61 computations (1.6% saved)

regimes60.0ms (0.4%)

Memory

15.8MiB live, 125.0MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

17.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
15.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
14.0ms	(-.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)))
12.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))

Results

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

Compiler

Compiled 62 to 61 computations (1.6% saved)

regimes116.0ms (0.8%)

Memory

-11.7MiB live, 182.3MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

34.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
21.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
17.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
15.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
14.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))

Results

Accuracy	Segments	Branch
88.4%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
88.4%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.0%	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)))))`
88.0%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.0%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 78 to 82 computations (-5.1% saved)

regimes315.0ms (2.1%)

Memory

20.0MiB live, 404.3MiB allocated

Counts

45 → 2

Calls

Call 1

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

Calls

15 calls:

111.0ms	w0
21.0ms	(-.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)))
18.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
17.0ms	l
16.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
85.9%	1	`w0`
85.9%	1	`M`
85.9%	1	`h`
87.5%	2	`(/.f64 h l)`
85.9%	1	`d`
85.9%	1	`(*.f64 #s(literal 2 binary64) d)`
85.9%	1	`l`
85.9%	1	`(*.f64 M D)`
85.9%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
87.5%	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))))`
87.5%	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)))`
85.9%	1	`D`
85.9%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
85.9%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
85.9%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes265.0ms (1.8%)

Memory

-1.1MiB live, 294.5MiB allocated

Counts

43 → 2

Calls

Call 1

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

15 calls:

78.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
18.0ms	l
16.0ms	D
16.0ms	d
15.0ms	w0

Results

Accuracy	Segments	Branch
84.2%	2	`M`
83.3%	2	`D`
84.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
81.4%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
81.4%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.4%	1	`w0`
81.4%	1	`h`
81.4%	1	`d`
83.1%	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)))))`
85.2%	3	`(*.f64 M D)`
81.4%	1	`(*.f64 #s(literal 2 binary64) d)`
81.4%	1	`l`
84.6%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
84.6%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
84.6%	2	`(/.f64 h l)`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes61.0ms (0.4%)

Memory

-6.5MiB live, 68.7MiB allocated

Counts

25 → 2

Calls

Call 1

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

Calls

7 calls:

11.0ms	(*.f64 M D)
8.0ms	D
7.0ms	M
7.0ms	(/.f64 h l)
6.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))

Results

Accuracy	Segments	Branch
81.8%	2	`D`
82.5%	2	`(*.f64 M D)`
82.4%	2	`M`
82.8%	2	`(/.f64 h l)`
83.2%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
83.2%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 52 to 70 computations (-34.6% saved)

regimes115.0ms (0.8%)

Memory

7.5MiB live, 246.6MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

9.0ms	(/.f64 h l)
9.0ms	(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))))
9.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
8.0ms	M
8.0ms	w0

Results

Accuracy	Segments	Branch
78.8%	3	`D`
78.5%	2	`M`
77.7%	2	`(*.f64 M D)`
79.1%	2	`(/.f64 h l)`
80.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
77.2%	2	`w0`
75.6%	1	`l`
79.3%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
75.6%	1	`h`
79.3%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
77.2%	2	`d`
77.2%	2	`(*.f64 #s(literal 2 binary64) d)`
80.0%	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)))))`
80.0%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.0%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes9.0ms (0.1%)

Memory

-20.3MiB live, 17.6MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
80.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

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
80.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.1%)

Memory

25.0MiB live, 25.0MiB allocated

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.2%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
79.2%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
79.2%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
79.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 62 to 61 computations (1.6% saved)

regimes4.0ms (0%)

Memory

-30.9MiB live, 6.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

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
79.3%	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)

regimes26.0ms (0.2%)

Memory

13.0MiB live, 53.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

15 calls:

7.0ms	w0
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	D
1.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	h

Results

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

Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1997090281270221e+186	1.6568728564432899e+190

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.659069907278044e-60	2.4388010125681247e-46

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.659069907278044e-60	2.4388010125681247e-46

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.659069907278044e-60	2.4388010125681247e-46

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1046425841849841e+30	6.096721514311185e+30

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.4554887662344902

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5259459695.436806	-0.45548876623449025

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4554887662344902	5259459696.436806

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.583046704380791e+166	-8.802883242613117e+163

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

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

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-9.778085632385015e+255

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.583046704380791e+166	-8.802883242613117e+163

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-9.778085632385015e+255

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify168.0ms (1.1%)

Memory

-7.2MiB live, 103.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	1058
1	298	1058
2	340	1058
3	397	1056
4	463	1056
5	560	1056
6	674	1056
7	1000	1056
8	1807	1056
9	2612	1056
10	3073	1056
11	3248	1056
12	3381	1056
13	3421	1056
14	3423	1056
15	3423	1056
16	3586	1056
17	3670	1056
18	3687	1056
19	3710	1056
20	3719	1056
21	3720	1056
22	3720	1056

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 M D) #s(literal 1999999999999999959234088337507430342214258903733683304135264237914896909571122220072342892220791970157205022783259144237767019517472760523037789559840158117208617709883954451835865006080 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) d) h) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (.f64 (.f64 D h) (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) l) M) (/.f64 D d))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (/.f64 D d))) l) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (.f64 (.f64 D h) (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) l) M) (/.f64 D d))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (/.f64 #s(literal -1/2 binary64) d)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (.f64 (.f64 D h) (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) l) M) (/.f64 D d))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) (.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) (.f64 (.f64 D h) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) l) M) (/.f64 D d))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2000000000000000039769249677312 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 l) (.f64 M (/.f64 D d))) D) d) #s(literal 1 binary64))))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (*.f64 l d))) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 5404319552844595/4503599627370496 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M D)) (*.f64 l d))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000 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 D M) M) D) (.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 #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 2 binary64)) (.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))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 D (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 (/.f64 w0 d) (.f64 (neg.f64 M) (.f64 h M))) (.f64 d (neg.f64 l))) w0)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) M) (/.f64 (.f64 D D) l)) w0))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 M h) M) D) D) (.f64 (.f64 d d) l)) w0))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (.f64 l d) d)) w0))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (.f64 D (/.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 d d) l))) w0))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (.f64 (.f64 h (/.f64 M d)) (.f64 D #s(literal 1/2 binary64))) (neg.f64 l)) #s(literal 1 binary64))) w0)
(if (<=.f64 (.f64 D M) #s(literal 1999999999999999959234088337507430342214258903733683304135264237914896909571122220072342892220791970157205022783259144237767019517472760523037789559840158117208617709883954451835865006080 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) h) l) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 #s(literal -1/2 binary64) l) M)) (*.f64 h D)) #s(literal 1 binary64))) w0))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 #s(literal -1/2 binary64) h)) l) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))) w0)
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 #s(literal -1/2 binary64) l) M)) (*.f64 h D)) #s(literal 1 binary64))) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) d) D) M) (/.f64 h l)) (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 #s(literal -1/2 binary64) l) M)) (*.f64 h D)) #s(literal 1 binary64))) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) M) (.f64 (/.f64 D d) M)) (/.f64 (neg.f64 h) l)) (/.f64 D d) #s(literal 1 binary64))) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 M (/.f64 #s(literal 1/2 binary64) d)) (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 #s(literal -1/2 binary64) l) M)) (.f64 h D)) #s(literal 1 binary64))) w0))
(if (<=.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2000000000000000039769249677312 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) h) (/.f64 (.f64 (.f64 (/.f64 M l) (.f64 (/.f64 D d) M)) D) d) #s(literal 1 binary64)))) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) (*.f64 l d)) h) #s(literal 1 binary64))) w0))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))) #s(literal 5404319552844595/4503599627370496 binary64)) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (.f64 (sqrt.f64 (fma.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) (*.f64 l d)) h) #s(literal 1 binary64))) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -5000000000 binary64)) (.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) h) (/.f64 (.f64 (.f64 (.f64 D M) M) D) (.f64 (.f64 l d) d)) #s(literal 1 binary64)))) w0) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (.f64 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 #s(literal -1/4 binary64) h) (.f64 (/.f64 (.f64 (.f64 M M) D) (.f64 (.f64 l d) d)) D) #s(literal 1 binary64)))) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 h M) M) (/.f64 w0 d)) (.f64 l d)) w0)) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (/.f64 (.f64 D D) l) (.f64 (.f64 (/.f64 h (.f64 d d)) M) M)) w0))) (.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -inf.0 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 #s(literal -1/8 binary64) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 h M) M) D) D) (.f64 (.f64 d d) l)) w0))) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 #s(literal -1/8 binary64) w0) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) (.f64 (.f64 l d) d)) w0))) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -inf.0 binary64)) #s(approx ( w0 (sqrt (- 1 (/ (* (pow (* D M) 2) 1/4) (* (/ l h) (* d d)))))) #s(approx (+ (* (* -1/8 (* D D)) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (fma.f64 (.f64 #s(literal -1/8 binary64) w0) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) D) (.f64 (.f64 d d) l)) D) w0))) (.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(.f64 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)

soundness2.0s (13.5%)

Memory

-9.5MiB live, 1 202.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	509
0	126	511
1	445	464
2	3540	464
0	10982	461
0	17	69
0	26	69
1	82	69
2	550	69
3	7047	69
0	8635	69
0	654	34633
1	2262	34433
0	8151	33427
0	61	408
0	103	411
1	346	375
2	2702	375
0	8595	372
0	626	7690
1	2185	7668
0	8480	7462
0	687	34353
1	2368	34209
0	8511	33222
0	79	549
0	127	547
1	431	541
2	2882	541
0	9221	536

Stop Event

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

Compiler

Compiled 3 008 to 1 565 computations (48% saved)

preprocess465.0ms (3.1%)

Memory

14.4MiB live, 323.5MiB allocated

Remove

(negabs w0)

(abs d)

Compiler

Compiled 5 476 to 2 494 computations (54.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze445.0ms (3%)

sample2.6s (17.1%)

explain269.0ms (1.8%)

preprocess195.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify108.0ms (0.7%)

localize67.0ms (0.5%)

series75.0ms (0.5%)

simplify484.0ms (3.2%)

rewrite264.0ms (1.8%)

eval99.0ms (0.7%)

prune32.0ms (0.2%)

simplify109.0ms (0.7%)

localize211.0ms (1.4%)

series224.0ms (1.5%)

simplify290.0ms (1.9%)

rewrite262.0ms (1.8%)

eval311.0ms (2.1%)

prune125.0ms (0.8%)

simplify122.0ms (0.8%)

localize227.0ms (1.5%)

series257.0ms (1.7%)

simplify262.0ms (1.8%)

rewrite283.0ms (1.9%)

eval455.0ms (3.1%)

prune173.0ms (1.2%)

simplify197.0ms (1.3%)

localize189.0ms (1.3%)

series211.0ms (1.4%)

simplify352.0ms (2.4%)

rewrite309.0ms (2.1%)

eval464.0ms (3.1%)

prune108.0ms (0.7%)

regimes525.0ms (3.5%)

regimes301.0ms (2%)

regimes316.0ms (2.1%)

regimes333.0ms (2.2%)

regimes63.0ms (0.4%)

regimes60.0ms (0.4%)

regimes116.0ms (0.8%)

regimes315.0ms (2.1%)

regimes265.0ms (1.8%)

regimes61.0ms (0.4%)

regimes115.0ms (0.8%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes26.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify168.0ms (1.1%)

soundness2.0s (13.5%)

preprocess465.0ms (3.1%)

end0.0ms (0%)

Profiling