Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze654.0ms (5.6%)

Memory

6.0MiB live, 763.1MiB 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)

sample2.7s (23.3%)

Memory

-126.1MiB live, 2 119.2MiB allocated

Samples

1.3s	8 256×	0	valid
765.0ms	2 745×	0	invalid

Precisions

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

ival-div: 548.0ms (39.8% of total)

ival-mult: 375.0ms (27.2% of total)

ival-sqrt: 204.0ms (14.8% of total)

ival-pow2: 133.0ms (9.7% of total)

ival-sub: 89.0ms (6.5% of total)

exact: 12.0ms (0.9% of total)

ival-true: 10.0ms (0.7% of total)

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

Bogosity

explain218.0ms (1.9%)

Memory

30.4MiB live, 431.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
51	0	-	6	(-1.8813078468108107e+93 -0.014169369633085132 1.096729811633988e+286 -2.8244514802336783e-120 -1.0753031777371494e+193 -4.7699079084534673e+281)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
20	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))))`
16	1	(-5.675528587199365e-255 9.807408855425351e-301 -5.800936808821448e-84 -1.0933544538609534e-169 6.217050743517819e-186 -4.7621886708292576e-61)	3	(-1.0901266173943835e-7 2.191839171326421e-90 2.337493116342421e-234 -1.3033350886534182e+230 0.20625061315437948 2.6834291877553203e-205)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
8	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	20	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	58
↳	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`	overflow	53
↳	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	overflow	33
↳	`(*.f64 M D)`	overflow	18
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	32
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	53
↳	`(/.f64 h l)`	overflow	28
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	8	0
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	8	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	58
↳	`(*.f64 M D)`	overflow	18
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	32
↳	`(/.f64 h l)`	underflow	35
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	107
↳	`(*.f64 M D)`	underflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	52
↳	`(/.f64 h l)`	overflow	28
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	2	0
↳	`(*.f64 M D)`	overflow	18
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	31

Confusion

	Predicted +	Predicted -
+	36	17
-	6	197

Precision

0.8571428571428571

Recall

0.6792452830188679

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	17
-	6	0	197

Precision?

0.8571428571428571

Recall?

0.6792452830188679

Freqs

test

number	freq
0	214
1	39
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms

512×

valid

Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions

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

ival-mult: 12.0ms (36.1% of total)

ival-div: 8.0ms (24% of total)

ival-pow2: 5.0ms (15% of total)

ival-sqrt: 4.0ms (12% of total)

ival-sub: 2.0ms (6% of total)

ival-true: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

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

preprocess153.0ms (1.3%)

Memory

-37.6MiB live, 186.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	501
1	520	492
2	1570	492
3	4470	492
0	17	18
0	26	18
1	47	18
2	115	18
3	826	18
4	4554	18
5	7872	18
0	8032	18

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
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
▶	80.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify106.0ms (0.9%)

Memory

-1.0MiB live, 157.2MiB 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	7872	95
0	8032	95

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (0.7%)

Memory

-1.1MiB live, 76.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.9068756217140657	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy	3.432380001400316	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	4.687896934499576	(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	11.417653692656646	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

75.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (36.1% of total)

ival-div: 4.0ms (24.1% of total)

ival-sqrt: 3.0ms (18% of total)

ival-pow2: 3.0ms (18% of total)

ival-sub: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series129.0ms (1.1%)

Memory

-13.7MiB live, 107.6MiB allocated

Counts

5 → 89

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	M	@	0	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
10.0ms	d	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
6.0ms	h	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	M	@	inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	h	@	-inf	((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))

simplify200.0ms (1.7%)

Memory

2.7MiB live, 194.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	4478
1	2185	4460
0	8508	4319

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 88

Calls

Call 1

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

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

rewrite268.0ms (2.3%)

Memory

-11.3MiB live, 198.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
0	26	69
1	82	69
2	550	69
3	7052	69
0	8640	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))))
(.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)) (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 (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))))
(.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))) (pow.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)) #s(literal 1/2 binary64)))
(.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))) (/.f64 #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)))))
(.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))) (sqrt.f64 (pow.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)) #s(literal -1 binary64))))
(.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))) (pow.f64 (pow.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)) #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 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (.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)) (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 (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)) #s(literal 2 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 1/2 binary64))
(/.f64 (neg.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)))) (neg.f64 (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 (neg.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)))) (neg.f64 (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 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (neg.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 (neg.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 (neg.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 (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 (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))))
(/.f64 #s(literal 1 binary64) (/.f64 (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))) (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) (/.f64 (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))) (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)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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)))))
(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)))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.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)) (fma.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))) (fma.f64 (/.f64 h l) (-.f64 (.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 (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)) (-.f64 #s(literal 1 binary64) (pow.f64 (.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 2 binary64)))) (-.f64 #s(literal 1 binary64) (.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))))))
(.f64 (/.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)) (+.f64 (pow.f64 (.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 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.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)))) (-.f64 (.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)) #s(literal 1 binary64)))
(.f64 (/.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)) (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))) (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 (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)) (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 (pow.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)) #s(literal -1 binary64)) (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)))
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(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 D M) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 D M)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (.f64 M #s(literal 1 binary64)) (.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 (.f64 #s(literal 1 binary64) M) (.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 (/.f64 (.f64 (neg.f64 M) D) #s(literal -1 binary64)) (.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal -2 binary64))
(/.f64 (exp.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) D))) (exp.f64 (log.f64 d)))
(/.f64 (exp.f64 (log.f64 (.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (.f64 #s(literal -2 binary64) d))))
(/.f64 (exp.f64 (log.f64 (.f64 D M))) (exp.f64 (log.f64 (.f64 d #s(literal 2 binary64)))))
(/.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)))

eval91.0ms (0.8%)

Memory: 37.6MiB live, 72.8MiB allocated
Compiler: Compiled 17 622 to 2 865 computations (83.7% saved)

prune57.0ms (0.5%)

Memory

-8.3MiB live, 28.8MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	484	12	496
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	484	13	497

Accuracy

91.5%

Counts

497 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
▶	77.2%	(.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))))
	83.6%	(.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))))
▶	90.9%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
	84.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (.f64 (/.f64 l h) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))))))
✓	80.1%	(.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)))))
	79.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))))))
	66.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	58.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d))))))
▶	15.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
▶	54.4%	(.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))))
▶	68.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	53.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))

Compiler

Compiled 716 to 577 computations (19.4% saved)

simplify160.0ms (1.4%)

Memory

-16.4MiB live, 64.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	568
0	96	574
1	195	574
2	642	560
3	3978	554
0	8119	554

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

localize166.0ms (1.4%)

Memory

28.5MiB live, 101.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	2.8654733459138146	(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	4.687896934499576	(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	10.68002721216884	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy	10.899981081104963	(.f64 (/.f64 (neg.f64 h) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))))
accuracy	8.538193099662301	(/.f64 (*.f64 M M) l)
accuracy	12.272822796186459	(.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy	16.577841458189575	(.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))
accuracy	41.76098810996756	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))
accuracy	8.538193099662301	(/.f64 (*.f64 M M) l)
accuracy	11.77168222418619	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))
accuracy	12.272822796186459	(.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy	13.222870695633773	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
accuracy	1.9068756217140657	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	20.172160731716055	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	5.294915536926433	(/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
accuracy	5.305792441904944	(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
accuracy	6.045578353631426	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	6.192094967835512	(*.f64 (/.f64 M d) h)

Samples

99.0ms

256×

valid

Compiler

Compiled 481 to 57 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 33.0ms (46.3% of total)

ival-div: 16.0ms (22.4% of total)

ival-sqrt: 12.0ms (16.8% of total)

ival-add: 4.0ms (5.6% of total)

ival-pow2: 3.0ms (4.2% of total)

ival-neg: 2.0ms (2.8% of total)

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

exact: 1.0ms (1.4% of total)

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

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

series168.0ms (1.4%)

Memory

-18.0MiB live, 148.4MiB allocated

Counts

24 → 109

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
32.0ms	w0	@	-inf	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) 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) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ M d) h) (* (* (/ 1/2 d) M) D) (* (* D 1/2) (* (/ M d) h)) (* (/ h (* d d)) (/ (* M M) l)) (/ (* M M) l) (* (/ D d) (* (* M M) 1/4)))
27.0ms	M	@	-inf	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) 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) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ M d) h) (* (* (/ 1/2 d) M) D) (* (* D 1/2) (* (/ M d) h)) (* (/ h (* d d)) (/ (* M M) l)) (/ (* M M) l) (* (/ D d) (* (* M M) 1/4)))
24.0ms	d	@	inf	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) 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) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ M d) h) (* (* (/ 1/2 d) M) D) (* (* D 1/2) (* (/ M d) h)) (* (/ h (* d d)) (/ (* M M) l)) (/ (* M M) l) (* (/ D d) (* (* M M) 1/4)))
10.0ms	h	@	inf	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) 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) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ M d) h) (* (* (/ 1/2 d) M) D) (* (* D 1/2) (* (/ M d) h)) (* (/ h (* d d)) (/ (* M M) l)) (/ (* M M) l) (* (/ D d) (* (* M M) 1/4)))
6.0ms	M	@	0	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) 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) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ M d) h) (* (* (/ 1/2 d) M) D) (* (* D 1/2) (* (/ M d) h)) (* (/ h (* d d)) (/ (* M M) l)) (/ (* M M) l) (* (/ D d) (* (* M M) 1/4)))

simplify161.0ms (1.4%)

Memory

8.3MiB live, 199.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	675	4787
1	2319	4759
0	8404	4603

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 108

Calls

Call 1

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

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

rewrite178.0ms (1.5%)

Memory

4.9MiB live, 287.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	453
0	96	459
1	307	423
2	2260	423
0	8930	410

Stop Event

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

Counts

24 → 735

Calls

Call 1

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

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

eval117.0ms (1%)

Memory: -6.3MiB live, 232.7MiB allocated
Compiler: Compiled 33 320 to 4 215 computations (87.3% saved)

prune37.0ms (0.3%)

Memory

17.8MiB live, 96.9MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	815	19	834
Fresh	5	2	7
Picked	4	1	5
Done	1	0	1
Total	825	22	847

Accuracy

91.5%

Counts

847 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.9%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) (neg.f64 h)) (.f64 d l)) (/.f64 D d) #s(literal 1 binary64))))
	79.2%	(.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))))
	83.6%	(.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))))
▶	86.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (/.f64 M d) (.f64 h (.f64 D #s(literal 1/2 binary64)))) (neg.f64 l)) #s(literal 1 binary64))))
	85.6%	(.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))))
▶	78.1%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
	83.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 h) l)) (/.f64 #s(literal 1/2 binary64) d)) (.f64 D M) #s(literal 1 binary64))))
	83.1%	(.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))))
	69.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) l) (*.f64 d d)) #s(literal 1 binary64)))))
▶	15.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 d d)))))
	16.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 (*.f64 d d) l)))))
	58.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d))))))
	19.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D))))
	56.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 (.f64 M M) l) h) (*.f64 d d)) #s(literal 1 binary64))))
▶	61.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
	56.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
▶	55.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
	69.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) l)) (/.f64 h (*.f64 d d)))) #s(literal 1 binary64))))
	67.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) l) (*.f64 d d)) #s(literal 1 binary64)))))
	14.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
✓	68.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	64.6%	#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))

Compiler

Compiled 1 492 to 1 129 computations (24.3% saved)

simplify102.0ms (0.9%)

Memory

-10.3MiB live, 147.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	673
0	115	673
1	246	673
2	817	669
3	4808	662
0	8085	662

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

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

localize173.0ms (1.5%)

Memory

5.1MiB live, 324.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.8654733459138146	(fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) M) (.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))
accuracy	4.687896934499576	(sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) M) (.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64)))
accuracy	5.204835007215123	(.f64 (.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) M)
accuracy	9.29637016512853	(*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l))
accuracy	8.538193099662301	(/.f64 (*.f64 M M) l)
accuracy	14.040499910997536	(/.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 d d))
accuracy	16.53187774941041	(.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 #s(literal -1/4 binary64) (*.f64 D D)))
accuracy	41.76098810996756	#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 d d)))
accuracy	6.208345923798545	(/.f64 (.f64 (/.f64 h d) (.f64 M M)) (*.f64 d l))
accuracy	10.737264927105747	(.f64 (/.f64 h d) (.f64 M M))
accuracy	11.77168222418619	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (*.f64 d l)) #s(literal 1 binary64)))
accuracy	13.222870695633773	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))
accuracy	7.295610233355133	(.f64 (.f64 d d) l)
accuracy	11.77168222418619	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64)))
accuracy	13.048392688261128	(/.f64 (.f64 M M) (.f64 (*.f64 d d) l))
accuracy	13.222870695633773	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64))
accuracy	4.687896934499576	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (/.f64 M d) (.f64 h (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 l)) #s(literal 1 binary64)))
accuracy	5.294915536926433	(/.f64 (.f64 (/.f64 M d) (.f64 h (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 l))
accuracy	6.045578353631426	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	9.00451906364476	(.f64 (/.f64 M d) (.f64 h (*.f64 D #s(literal 1/2 binary64))))

Samples

118.0ms

256×

valid

Compiler

Compiled 553 to 67 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 44.0ms (52.5% of total)

ival-div: 22.0ms (26.2% of total)

ival-sqrt: 6.0ms (7.2% of total)

ival-add: 5.0ms (6% of total)

ival-pow2: 3.0ms (3.6% of total)

ival-neg: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series113.0ms (1%)

Memory

12.4MiB live, 214.2MiB allocated

Counts

29 → 113

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	M	@	-inf	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1) (/ (* (/ M d) (* h (* D 1/2))) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (/ (* (/ h d) (* M M)) (* d l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (/ (* M M) l) h) (* -1/4 (* D D))) (* d d)) (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (* w0 (sqrt (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1))) (sqrt (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1)) (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1) (* (/ M d) (* h (* D 1/2))) (* (* (/ 1/2 d) M) D) (/ (* M M) (* (* d d) l)) (* (* d d) l) (* (/ h d) (* M M)) (/ (* (/ h d) (* M M)) (* d l)) (* (* (/ (* M M) l) h) (* -1/4 (* D D))) (/ (* M M) l) (* (/ D d) (/ (neg h) l)) (* (* (/ D d) (/ (neg h) l)) M))
7.0ms	d	@	0	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1) (/ (* (/ M d) (* h (* D 1/2))) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (/ (* (/ h d) (* M M)) (* d l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (/ (* M M) l) h) (* -1/4 (* D D))) (* d d)) (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (* w0 (sqrt (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1))) (sqrt (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1)) (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1) (* (/ M d) (* h (* D 1/2))) (* (* (/ 1/2 d) M) D) (/ (* M M) (* (* d d) l)) (* (* d d) l) (* (/ h d) (* M M)) (/ (* (/ h d) (* M M)) (* d l)) (* (* (/ (* M M) l) h) (* -1/4 (* D D))) (/ (* M M) l) (* (/ D d) (/ (neg h) l)) (* (* (/ D d) (/ (neg h) l)) M))
7.0ms	l	@	0	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1) (/ (* (/ M d) (* h (* D 1/2))) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (/ (* (/ h d) (* M M)) (* d l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (/ (* M M) l) h) (* -1/4 (* D D))) (* d d)) (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (* w0 (sqrt (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1))) (sqrt (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1)) (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1) (* (/ M d) (* h (* D 1/2))) (* (* (/ 1/2 d) M) D) (/ (* M M) (* (* d d) l)) (* (* d d) l) (* (/ h d) (* M M)) (/ (* (/ h d) (* M M)) (* d l)) (* (* (/ (* M M) l) h) (* -1/4 (* D D))) (/ (* M M) l) (* (/ D d) (/ (neg h) l)) (* (* (/ D d) (/ (neg h) l)) M))
6.0ms	D	@	-inf	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1) (/ (* (/ M d) (* h (* D 1/2))) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (/ (* (/ h d) (* M M)) (* d l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (/ (* M M) l) h) (* -1/4 (* D D))) (* d d)) (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (* w0 (sqrt (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1))) (sqrt (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1)) (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1) (* (/ M d) (* h (* D 1/2))) (* (* (/ 1/2 d) M) D) (/ (* M M) (* (* d d) l)) (* (* d d) l) (* (/ h d) (* M M)) (/ (* (/ h d) (* M M)) (* d l)) (* (* (/ (* M M) l) h) (* -1/4 (* D D))) (/ (* M M) l) (* (/ D d) (/ (neg h) l)) (* (* (/ D d) (/ (neg h) l)) M))
6.0ms	M	@	inf	((+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1) (/ (* (/ M d) (* h (* D 1/2))) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (/ (* (/ h d) (* M M)) (* d l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (/ (* M M) l) h) (* -1/4 (* D D))) (* d d)) (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (* w0 (sqrt (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1))) (sqrt (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1)) (+ (* (* (* (* (/ D d) (/ (neg h) l)) M) (* 1/4 M)) (/ D d)) 1) (* (/ M d) (* h (* D 1/2))) (* (* (/ 1/2 d) M) D) (/ (* M M) (* (* d d) l)) (* (* d d) l) (* (/ h d) (* M M)) (/ (* (/ h d) (* M M)) (* d l)) (* (* (/ (* M M) l) h) (* -1/4 (* D D))) (/ (* M M) l) (* (/ D d) (/ (neg h) l)) (* (* (/ D d) (/ (neg h) l)) M))

simplify157.0ms (1.3%)

Memory

-12.7MiB live, 259.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	677	4825
1	2331	4797
0	8482	4641

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 112

Calls

Call 1

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

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

rewrite191.0ms (1.6%)

Memory

13.9MiB live, 254.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	543
0	115	543
1	385	543
2	2814	515
0	8471	515

Stop Event

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

Counts

29 → 820

Calls

Call 1

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

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

eval133.0ms (1.1%)

Memory: 8.4MiB live, 195.7MiB allocated
Compiler: Compiled 34 265 to 4 723 computations (86.2% saved)

prune39.0ms (0.3%)

Memory

-3.4MiB live, 70.7MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	864	10	874
Fresh	6	10	16
Picked	3	2	5
Done	0	1	1
Total	873	23	896

Accuracy

91.9%

Counts

896 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (.f64 (.f64 (/.f64 (neg.f64 h) l) M) (.f64 (*.f64 #s(literal 1/4 binary64) M) (/.f64 D d))) #s(literal 1 binary64))))
	82.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 (.f64 D M) (.f64 (.f64 (.f64 h D) (/.f64 #s(literal -1/2 binary64) l)) (/.f64 M d))) #s(literal 1 binary64))))
	79.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) M) (.f64 l d)) (.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
	82.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) h) M) (*.f64 (neg.f64 d) l)) #s(literal 1 binary64))))
▶	85.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (/ M d) (* h (* D 1/2))) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))
▶	78.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 D (/.f64 h (.f64 (neg.f64 d) l))) M) (.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
	83.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 D (.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (neg.f64 h) l)) (/.f64 #s(literal 1/2 binary64) d)) (.f64 D M) #s(literal 1 binary64))))
	83.1%	(.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))))
	69.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) l) (*.f64 d d)) #s(literal 1 binary64)))))
✓	15.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 d d)))))
	16.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 #s(literal -1/4 binary64) D)) D) (.f64 d d)))))
	16.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 (*.f64 d d) l)))))
	19.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D))))
	56.1%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 (.f64 M M) l) h) (*.f64 d d)) #s(literal 1 binary64))))
✓	61.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
	56.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
▶	58.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
▶	64.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
	69.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) l)) (/.f64 h (*.f64 d d)))) #s(literal 1 binary64))))
	67.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) l) (*.f64 d d)) #s(literal 1 binary64)))))
	14.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
✓	68.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶	64.6%	#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))

Compiler

Compiled 1 489 to 1 128 computations (24.2% saved)

simplify110.0ms (0.9%)

Memory

9.7MiB live, 92.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	694
0	128	694
1	272	694
2	859	689
3	4946	683
0	8311	683

Stop Event

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

Calls

Call 1

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

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

localize216.0ms (1.8%)

Memory

-29.4MiB live, 373.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.687896934499576	(sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 D (/.f64 h (.f64 (neg.f64 d) l))) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64)))
accuracy	5.204835007215123	(.f64 (.f64 D (/.f64 h (*.f64 (neg.f64 d) l))) M)
accuracy	5.234463229417866	(/.f64 h (*.f64 (neg.f64 d) l))
accuracy	8.013513620178584	(.f64 D (/.f64 h (.f64 (neg.f64 d) l)))
accuracy	6.4113480420308235	(/.f64 (*.f64 D D) d)
accuracy	7.055700142935635	(.f64 (.f64 M M) h)
accuracy	11.105262513923718	(.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d))
accuracy	11.327287782624627	#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
accuracy	4.281673371805049	(/.f64 M (*.f64 l d))
accuracy	5.026320366825517	(.f64 h (.f64 (/.f64 M d) (/.f64 M (*.f64 l d))))
accuracy	11.77168222418619	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64)))
accuracy	13.222870695633773	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))
accuracy	5.026320366825517	(.f64 h (/.f64 (.f64 M M) (.f64 (.f64 l d) d)))
accuracy	11.77168222418619	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 l d) d))) #s(literal 1 binary64)))
accuracy	13.048392688261128	(/.f64 (.f64 M M) (.f64 (*.f64 l d) d))
accuracy	13.222870695633773	(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 l d) d))) #s(literal 1 binary64))
accuracy	4.687896934499576	(sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (/ M d) (* h (* D 1/2))) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))
accuracy	5.492224481002822	(/.f64 (*.f64 h M) l)
accuracy	6.045578353631426	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy	9.676008136911015	(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))

Samples

159.0ms

256×

valid

Compiler

Compiled 560 to 74 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 56.0ms (49.8% of total)

ival-div: 24.0ms (21.4% of total)

ival-add: 12.0ms (10.7% of total)

ival-sqrt: 8.0ms (7.1% of total)

ival-sub: 7.0ms (6.2% of total)

ival-pow2: 3.0ms (2.7% of total)

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series284.0ms (2.4%)

Memory

-0.6MiB live, 203.9MiB allocated

Counts

30 → 119

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
166.0ms	d	@	-inf	((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (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)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* l d) d)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (* (/ M d) (/ M (* l d))))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d)) (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (* w0 (sqrt (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1))) (sqrt (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1)) (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1) (* (* -1/2 (/ D d)) (/ (* h M) l)) (/ (* h M) l) (/ (* M M) (* (* l d) d)) (* h (/ (* M M) (* (* l d) d))) (* h (* (/ M d) (/ M (* l d)))) (/ M (* l d)) (* (* M M) h) (/ (* D D) d) (* D (/ h (* (neg d) l))) (/ h (* (neg d) l)) (* (* D (/ h (* (neg d) l))) M))
23.0ms	M	@	0	((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (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)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* l d) d)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (* (/ M d) (/ M (* l d))))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d)) (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (* w0 (sqrt (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1))) (sqrt (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1)) (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1) (* (* -1/2 (/ D d)) (/ (* h M) l)) (/ (* h M) l) (/ (* M M) (* (* l d) d)) (* h (/ (* M M) (* (* l d) d))) (* h (* (/ M d) (/ M (* l d)))) (/ M (* l d)) (* (* M M) h) (/ (* D D) d) (* D (/ h (* (neg d) l))) (/ h (* (neg d) l)) (* (* D (/ h (* (neg d) l))) M))
7.0ms	D	@	0	((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (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)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* l d) d)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (* (/ M d) (/ M (* l d))))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d)) (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (* w0 (sqrt (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1))) (sqrt (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1)) (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1) (* (* -1/2 (/ D d)) (/ (* h M) l)) (/ (* h M) l) (/ (* M M) (* (* l d) d)) (* h (/ (* M M) (* (* l d) d))) (* h (* (/ M d) (/ M (* l d)))) (/ M (* l d)) (* (* M M) h) (/ (* D D) d) (* D (/ h (* (neg d) l))) (/ h (* (neg d) l)) (* (* D (/ h (* (neg d) l))) M))
7.0ms	l	@	0	((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (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)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* l d) d)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (* (/ M d) (/ M (* l d))))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d)) (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (* w0 (sqrt (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1))) (sqrt (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1)) (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1) (* (* -1/2 (/ D d)) (/ (* h M) l)) (/ (* h M) l) (/ (* M M) (* (* l d) d)) (* h (/ (* M M) (* (* l d) d))) (* h (* (/ M d) (/ M (* l d)))) (/ M (* l d)) (* (* M M) h) (/ (* D D) d) (* D (/ h (* (neg d) l))) (/ h (* (neg d) l)) (* (* D (/ h (* (neg d) l))) M))
6.0ms	d	@	0	((* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (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)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* l d) d)))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (* (/ M d) (/ M (* l d))))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (+ (* (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d))) w0) (/ -1/8 l) (* (/ (* (* (* M M) h) w0) d) (/ (* D D) d)) (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (* w0 (sqrt (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1))) (sqrt (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1)) (+ (* (* (* (* D (/ h (* (neg d) l))) M) (* 1/4 M)) (/ D d)) 1) (* (* -1/2 (/ D d)) (/ (* h M) l)) (/ (* h M) l) (/ (* M M) (* (* l d) d)) (* h (/ (* M M) (* (* l d) d))) (* h (* (/ M d) (/ M (* l d)))) (/ M (* l d)) (* (* M M) h) (/ (* D D) d) (* D (/ h (* (neg d) l))) (/ h (* (neg d) l)) (* (* D (/ h (* (neg d) l))) M))

simplify191.0ms (1.6%)

Memory

17.5MiB live, 174.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	692	4941
1	2379	4916
0	8577	4758

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 118

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

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

rewrite282.0ms (2.4%)

Memory

27.5MiB live, 258.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	540
0	128	540
1	441	540
2	3121	536
0	9174	535

Stop Event

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

Counts

30 → 879

Calls

Call 1

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

eval124.0ms (1.1%)

Memory: -14.4MiB live, 222.6MiB allocated
Compiler: Compiled 41 892 to 4 705 computations (88.8% saved)

prune86.0ms (0.7%)

Memory

-3.8MiB live, 111.8MiB allocated

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	875	13	888
Fresh	3	12	15
Picked	2	3	5
Done	0	3	3
Total	880	31	911

Accuracy

91.9%

Counts

911 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (.f64 (.f64 (/.f64 (neg.f64 h) l) M) (.f64 (*.f64 #s(literal 1/4 binary64) M) (/.f64 D d))) #s(literal 1 binary64))))
	79.5%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) M) D) (.f64 (/.f64 h (.f64 (neg.f64 d) l)) M)) #s(literal 1 binary64))))
	82.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 (.f64 D M) (.f64 (.f64 (.f64 h D) (/.f64 #s(literal -1/2 binary64) l)) (/.f64 M d))) #s(literal 1 binary64))))
	79.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) M) (.f64 l d)) (.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
	85.3%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (/ M d) (* h (* D 1/2))) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64))))
✓	85.6%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (/ M d) (* h (* D 1/2))) (neg l)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))
	83.1%	(.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))))
	78.6%	(.f64 w0 (sqrt.f64 (fma.f64 M (.f64 (.f64 (/.f64 h (.f64 (neg.f64 d) l)) D) (.f64 (.f64 #s(literal 1/4 binary64) M) (/.f64 D d))) #s(literal 1 binary64))))
	69.9%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) l) (*.f64 d d)) #s(literal 1 binary64)))))
✓	15.2%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 d d)))))
	16.1%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 #s(literal -1/4 binary64) D)) D) (.f64 d d)))))
	16.3%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 (*.f64 d d) l)))))
	19.6%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D))))
	59.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 (/.f64 M d) d) (/.f64 M l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) #s(literal 1 binary64))))
	81.4%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (/.f64 M d) l)) (/.f64 M d)) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
✓	61.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
	56.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
	56.5%	(.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 M M) (/.f64 h (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
	57.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 (/.f64 M l) M) (*.f64 d d))) #s(literal 1 binary64))))
✓	58.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
✓	64.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
	59.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 (.f64 h M) (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
	69.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) l)) (/.f64 h (*.f64 d d)))) #s(literal 1 binary64))))
	67.5%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) l) (*.f64 d d)) #s(literal 1 binary64)))))
	14.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
✓	68.7%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	79.8%	#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) D) D) d) w0))
	67.6%	#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 d d)) w0))
	55.7%	#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (.f64 (.f64 (.f64 M M) h) w0) (/.f64 (.f64 D D) (.f64 d d))) w0))
	78.2%	#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) (/.f64 #s(literal -1/8 binary64) l)) D) (/.f64 D d) w0))
	78.7%	#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) D) (/.f64 D d)) l) w0))

Compiler

Compiled 2 975 to 1 260 computations (57.6% saved)

regimes276.0ms (2.4%)

Memory

-13.9MiB live, 359.7MiB allocated

Counts

55 → 1

Calls

Call 1

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

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:

40.0ms	d
30.0ms	(*.f64 #s(literal 2 binary64) d)
22.0ms	w0
18.0ms	M
18.0ms	h

Results

Accuracy	Segments	Branch
90.9%	1	`w0`
90.9%	1	`M`
90.9%	1	`D`
90.9%	1	`h`
90.9%	1	`l`
90.9%	1	`d`
90.9%	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)))))`
90.9%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
90.9%	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)))`
90.9%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
90.9%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
90.9%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
90.9%	1	`(*.f64 M D)`
90.9%	1	`(*.f64 #s(literal 2 binary64) d)`
90.9%	1	`(/.f64 h l)`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes317.0ms (2.7%)

Memory

15.4MiB live, 330.4MiB allocated

Counts

50 → 2

Calls

Call 1

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

Calls

15 calls:

117.0ms	(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	h
17.0ms	D
15.0ms	(*.f64 #s(literal 2 binary64) d)
15.0ms	M

Results

Accuracy	Segments	Branch
85.6%	1	`w0`
88.3%	2	`D`
89.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
89.6%	3	`(/.f64 h l)`
87.6%	2	`M`
87.2%	2	`l`
89.3%	2	`d`
89.8%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
89.8%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
89.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
89.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
88.0%	2	`(*.f64 M D)`
89.3%	2	`(*.f64 #s(literal 2 binary64) d)`
89.5%	3	`h`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes278.0ms (2.4%)

Memory

11.1MiB live, 125.9MiB allocated

Counts

46 → 2

Calls

Call 1

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

Outputs

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

Calls

8 calls:

177.0ms	(.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)))))
30.0ms	(*.f64 #s(literal 2 binary64) d)
13.0ms	d
12.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
12.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
85.6%	1	`d`
85.6%	1	`(*.f64 #s(literal 2 binary64) d)`
89.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
87.6%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
87.6%	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))))`
87.6%	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)))`
87.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 82 to 96 computations (-17.1% saved)

regimes70.0ms (0.6%)

Memory

-17.1MiB live, 102.4MiB allocated

Counts

44 → 3

Calls

Call 1

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

Outputs

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

Calls

5 calls:

16.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
14.0ms	D
14.0ms	h
12.0ms	(/.f64 h l)
11.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
85.3%	1	`h`
85.3%	1	`(/.f64 h l)`
87.1%	2	`D`
89.5%	3	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
89.5%	3	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 21 to 40 computations (-90.5% saved)

regimes37.0ms (0.3%)

Memory

26.0MiB live, 63.6MiB 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)))
(.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 M (/.f64 (.f64 h M) (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (.f64 (.f64 (.f64 M M) h) w0) (/.f64 (.f64 D D) (.f64 d d))) w0))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) l) (*.f64 d d)) #s(literal 1 binary64)))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) l)) (/.f64 h (*.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 (/.f64 M l) M) (*.f64 d d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 (.f64 M M) l) h) (*.f64 d d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) D) (/.f64 D d)) l) w0))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) (/.f64 #s(literal -1/8 binary64) l)) D) (/.f64 D d) w0))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) D) D) d) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (/.f64 M d) l)) (/.f64 M d)) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (/.f64 (/.f64 M d) d) (/.f64 M l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l))))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 #s(literal -1/4 binary64) D)) D) (.f64 d d)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (/.f64 (.f64 M M) l) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.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 (.f64 D M) M) D) l) (*.f64 d d)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l)) (.f64 d d))))))
(.f64 w0 (sqrt.f64 (fma.f64 M (.f64 (.f64 (/.f64 h (.f64 (neg.f64 d) l)) D) (.f64 (.f64 #s(literal 1/4 binary64) M) (/.f64 D d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 D (/.f64 h (.f64 (neg.f64 d) l))) M) (.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (neg.f64 h) D) M) (.f64 l d)) (.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) M) D) (.f64 (/.f64 h (.f64 (neg.f64 d) l)) M)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) D) (neg.f64 h)) (.f64 d l)) (/.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 (/ ( (/ M d) (* h (* D 1/2))) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx ( (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 D d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) h) M) (*.f64 (neg.f64 d) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) 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 (/.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))))

Outputs

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

Calls

3 calls:

12.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
11.0ms	(*.f64 M D)
11.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
87.4%	2	`(*.f64 M D)`
87.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes84.0ms (0.7%)

Memory

10.0MiB live, 162.9MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

14.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
13.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
12.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
12.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
11.0ms	M

Results

Accuracy	Segments	Branch
85.3%	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)))))`
87.2%	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))))`
87.2%	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)))`
87.2%	2	`M`
85.3%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
87.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
87.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 79 to 88 computations (-11.4% saved)

regimes44.0ms (0.4%)

Memory

-25.5MiB live, 62.1MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.2%	2	`M`
87.1%	2	`(*.f64 M D)`
85.3%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.3%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`

Compiler

Compiled 20 to 34 computations (-70% saved)

regimes231.0ms (2%)

Memory

14.8MiB live, 209.8MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

15 calls:

83.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
13.0ms	w0
12.0ms	(*.f64 #s(literal 2 binary64) d)
11.0ms	l
11.0ms	D

Results

Accuracy	Segments	Branch
81.4%	1	`h`
81.4%	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)))))`
85.8%	2	`(.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)`
84.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
84.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.3%	2	`(*.f64 M D)`
84.1%	2	`D`
81.4%	1	`w0`
84.0%	2	`d`
84.0%	2	`(*.f64 #s(literal 2 binary64) d)`
84.9%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
84.9%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.1%	2	`l`
84.9%	2	`M`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes23.0ms (0.2%)

Memory

-26.2MiB live, 12.4MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
85.6%	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)

regimes106.0ms (0.9%)

Memory

31.8MiB live, 147.2MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

11 calls:

13.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
12.0ms	(*.f64 #s(literal 2 binary64) d)
10.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
9.0ms	d
9.0ms	M

Results

Accuracy	Segments	Branch
81.4%	1	`d`
81.4%	1	`(*.f64 #s(literal 2 binary64) d)`
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	`D`
81.4%	1	`(/.f64 h l)`
81.4%	1	`M`
81.4%	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))))`
81.4%	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)))`
81.4%	1	`(*.f64 M D)`
83.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 72 to 105 computations (-45.8% saved)

regimes43.0ms (0.4%)

Memory

-14.5MiB live, 66.4MiB allocated

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

10.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
8.0ms	l
8.0ms	M
8.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
7.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
81.4%	1	`M`
81.4%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.4%	1	`(/.f64 h l)`
81.4%	1	`l`
81.4%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 25 to 42 computations (-68% saved)

regimes122.0ms (1%)

Memory

38.4MiB live, 224.7MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

15 calls:

14.0ms	h
11.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
10.0ms	(*.f64 #s(literal 2 binary64) d)
9.0ms	D
8.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
79.8%	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)))))`
79.8%	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))))`
79.8%	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)))`
79.8%	1	`h`
79.8%	1	`d`
79.8%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
79.8%	1	`(*.f64 #s(literal 2 binary64) d)`
79.8%	1	`w0`
79.8%	1	`(*.f64 M D)`
79.8%	1	`D`
79.8%	1	`l`
79.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.8%	1	`M`
79.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
79.8%	1	`(/.f64 h l)`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes104.0ms (0.9%)

Memory

-32.0MiB live, 170.3MiB 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)))
(.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 M (/.f64 (.f64 h M) (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 d d) l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 M M) (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 M M) (/.f64 h (.f64 (.f64 l d) d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (.f64 (.f64 (.f64 M M) h) w0) (/.f64 (.f64 D D) (.f64 d d))) w0))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (.f64 M M) h) l) (/.f64 w0 (.f64 d d))) w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) l) (*.f64 d d)) #s(literal 1 binary64)))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (.f64 D (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) l)) (/.f64 h (*.f64 d d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 h (/.f64 (.f64 (/.f64 M l) M) (*.f64 d d))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 h d) (.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (/.f64 (.f64 M M) l) h) (*.f64 d d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 #s(literal -1/4 binary64) (.f64 D D))) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 h #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 M M) D) D) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) D) (/.f64 D d)) l) w0))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) (/.f64 #s(literal -1/8 binary64) l)) D) (/.f64 D d) w0))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))

Outputs

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

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

Calls

15 calls:

8.0ms	w0
8.0ms	h
7.0ms	(.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)))))
7.0ms	(*.f64 #s(literal 2 binary64) d)
7.0ms	M

Results

Accuracy	Segments	Branch
78.7%	1	`h`
78.7%	1	`(/.f64 h l)`
78.7%	1	`D`
78.7%	1	`l`
80.5%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
80.5%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.5%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
78.7%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
78.7%	1	`w0`
78.7%	1	`d`
78.7%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.7%	1	`(*.f64 #s(literal 2 binary64) d)`
78.7%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.7%	1	`(*.f64 M D)`
80.5%	2	`M`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes17.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

6.0ms

5.0ms

(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))))

5.0ms

(-.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
80.5%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.5%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
80.5%	3	`M`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes49.0ms (0.4%)

Memory

-7.4MiB live, 76.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

14 calls:

8.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
4.0ms	(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))))
3.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
3.0ms	(*.f64 #s(literal 2 binary64) d)
3.0ms	l

Results

Accuracy	Segments	Branch
73.1%	3	`h`
79.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
71.9%	3	`w0`
73.9%	3	`l`
75.9%	3	`d`
78.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
79.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
75.3%	2	`(*.f64 M D)`
75.9%	3	`(*.f64 #s(literal 2 binary64) d)`
75.0%	2	`(/.f64 h l)`
75.2%	2	`D`
79.3%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
79.4%	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))))`
79.4%	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)))`

Compiler

Compiled 92 to 134 computations (-45.7% saved)

regimes9.0ms (0.1%)

Memory

-22.5MiB live, 15.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms

(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))))

3.0ms

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

2.0ms

(-.f64 #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
79.1%	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)))))`
79.1%	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))))`
79.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`

Compiler

Compiled 49 to 48 computations (2% saved)

regimes18.0ms (0.2%)

Memory

1.1MiB live, 40.2MiB 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:

2.0ms	l
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	(*.f64 #s(literal 2 binary64) d)
1.0ms	h
1.0ms	(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
68.7%	1	`w0`
68.7%	1	`h`
68.7%	1	`l`
68.7%	1	`d`
68.7%	1	`(*.f64 #s(literal 2 binary64) d)`
68.7%	1	`(/.f64 h l)`
68.7%	1	`D`
68.7%	1	`(*.f64 M D)`
68.7%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
68.7%	1	`M`
68.7%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
68.7%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
68.7%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
68.7%	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))))`
68.7%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`

Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.1554738639322034e-23	NaN

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	2.1279510974412842e+125	5.410187088878977e+134

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1279510974412842e+125	5.410187088878977e+134
0.0ms	0.0	2.268888642709e-311

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.723623260048031e+103	4.621362095703547e+108

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1279510974412842e+125	5.410187088878977e+134

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch21.0ms (0.2%)

Memory

-9.1MiB live, 29.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
19.0ms	3.962435271449378e-275	6.099057950050587e-270

Samples

12.0ms	128×	0	valid
1.0ms	1×	0	invalid

Compiler

Compiled 469 to 418 computations (10.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (33.2% of total)

ival-div: 2.0ms (22.1% of total)

ival-pow2: 2.0ms (22.1% of total)

ival-sub: 1.0ms (11.1% of total)

ival-sqrt: 1.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.498900637752982e+29	-8.843997666614769e-6

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.498900637752982e+29	-8.843997666614769e-6

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.3305273097648463e+77	-9.595488198408072e+74

Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch15.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.671940256775425e-160	2.415881507676061e-159

Samples

9.0ms	96×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 417 to 344 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (32.9% of total)

ival-div: 1.0ms (16.4% of total)

ival-sqrt: 1.0ms (16.4% of total)

ival-pow2: 1.0ms (16.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.517832805952825e+268	+inf

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	4.721180203524408e+228	9.517832805952825e+268

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	4.721180203524408e+228	9.517832805952825e+268

Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify68.0ms (0.6%)

Memory

0.4MiB live, 80.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	1159
1	333	1159
2	780	1156
3	3987	1156
4	7050	1156

Stop Event

1×	node 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))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 4253529586511731/42535295865117307932921825928971026432 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 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (/ M d) (* h (* D 1/2))) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 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 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) h) M) (.f64 (neg.f64 d) l)) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 0 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)))) (if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (.f64 (.f64 (/.f64 (neg.f64 h) l) M) (.f64 (.f64 #s(literal 1/4 binary64) M) (/.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 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) h) M) (.f64 (neg.f64 d) l)) #s(literal 1 binary64))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 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 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) h) M) (*.f64 (neg.f64 d) l)) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 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 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (/ M d) (* h (* D 1/2))) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 7016626088207999/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904 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) #s(approx (/ ( (/ M d) (* h (* D 1/2))) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) 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 -500000000000000009942312419328 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) M) D) (.f64 (/.f64 h (.f64 (neg.f64 d) l)) M)) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (/.f64 M d) l)) (/.f64 M d)) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000000000000009942312419328 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 M (.f64 (.f64 (/.f64 h (.f64 (neg.f64 d) l)) D) (.f64 (.f64 #s(literal 1/4 binary64) M) (/.f64 D d))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (/.f64 M d) l)) (/.f64 M d)) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (/.f64 M d) l)) (/.f64 M d)) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (/.f64 M d) l)) (/.f64 M d)) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) D) D) d) w0))
(if (<=.f64 M #s(literal 7281407019368197/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) D) (/.f64 D d)) l) w0)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 100000000000000004675381888545612798918960543133041028684136487274401643939455589461036825818030333693907688813404495028932616818466243033147431327741697981638738927986463793558699752023835231102266007829372867138519293326106230343475263802678137754874196788463928344576 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) l) (*.f64 d d)) #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999959194305311472138789316713505760186662089948335321480892263512301403195247934654204235168857842647367096996296699444923098611883276723489546525980192668752177843878836281320271702176657113721017213751856835067904 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 d d)) w0)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999959194305311472138789316713505760186662089948335321480892263512301403195247934654204235168857842647367096996296699444923098611883276723489546525980192668752177843878836281320271702176657113721017213751856835067904 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 (.f64 h M) (.f64 (.f64 l d) d))) #s(literal 1 binary64)))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

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))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 4253529586511731/42535295865117307932921825928971026432 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 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (/ M d) (* h (* D 1/2))) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 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 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) h) M) (.f64 (neg.f64 d) l)) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (/ M d) (* h (* D 1/2))) (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 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) h) M) (.f64 (neg.f64 d) l)) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 0 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)))) (if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (.f64 (.f64 (/.f64 (neg.f64 h) l) M) (.f64 (.f64 #s(literal 1/4 binary64) M) (/.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 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) h) M) (.f64 (neg.f64 d) l)) #s(literal 1 binary64))))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 100000000000000000191567508573466873621595512726519201115280351459937932420398875596123614510818032353280 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 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) h) M) (*.f64 (neg.f64 d) l)) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 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 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ ( (/ M d) (* h (* D 1/2))) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) D)) (.f64 l d))) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 7016626088207999/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904 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) #s(approx (/ ( (/ M d) (* h (* D 1/2))) (neg l)) (/.f64 (.f64 (.f64 h M) (.f64 #s(literal -1/2 binary64) 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 -500000000000000009942312419328 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 D d) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) M) D) (.f64 (/.f64 h (.f64 (neg.f64 d) l)) M)) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (/.f64 M d) l)) (/.f64 M d)) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000000000000009942312419328 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 M (.f64 (.f64 (/.f64 h (.f64 (neg.f64 d) l)) D) (.f64 (.f64 #s(literal 1/4 binary64) M) (/.f64 D d))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (/.f64 M d) l)) (/.f64 M d)) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (.f64 (.f64 (.f64 (.f64 (/.f64 h (.f64 d d)) M) (/.f64 M l)) (.f64 #s(literal -1/4 binary64) D)) D)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (/.f64 M d) l)) (/.f64 M d)) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (/.f64 M d) l)) (/.f64 M d)) D) (.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) D) D) d) w0))
(if (<=.f64 M #s(literal 7281407019368197/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) d) D) (/.f64 D d)) l) w0)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 100000000000000004675381888545612798918960543133041028684136487274401643939455589461036825818030333693907688813404495028932616818466243033147431327741697981638738927986463793558699752023835231102266007829372867138519293326106230343475263802678137754874196788463928344576 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 D M) M) D) l) (*.f64 d d)) #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999959194305311472138789316713505760186662089948335321480892263512301403195247934654204235168857842647367096996296699444923098611883276723489546525980192668752177843878836281320271702176657113721017213751856835067904 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #s(approx (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (/ M d) (* h (* D 1/2))) (neg l))) 1))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) w0) D) D) (.f64 d d)) w0)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999959194305311472138789316713505760186662089948335321480892263512301403195247934654204235168857842647367096996296699444923098611883276723489546525980192668752177843878836281320271702176657113721017213751856835067904 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M (/.f64 (.f64 h M) (.f64 (.f64 l d) d))) #s(literal 1 binary64)))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

soundness1.7s (14.8%)

Memory

40.9MiB live, 846.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	453
0	96	459
1	307	423
2	2260	423
0	8930	410
0	80	540
0	128	540
1	441	540
2	3121	536
0	9174	535
0	626	4478
1	2185	4460
0	8508	4319
0	67	543
0	115	543
1	385	543
2	2814	515
0	8471	515
0	675	4787
1	2319	4759
0	8404	4603
0	17	69
0	26	69
1	82	69
2	550	69
3	7052	69
0	8640	69
0	677	4825
1	2331	4797
0	8482	4641

Stop Event

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

Compiler

Compiled 3 463 to 1 937 computations (44.1% saved)

preprocess170.0ms (1.4%)

Memory

-0.9MiB live, 272.9MiB allocated

Remove

(negabs w0)

(abs d)

Compiler

Compiled 2 738 to 802 computations (70.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze654.0ms (5.6%)

sample2.7s (23.3%)

explain218.0ms (1.9%)

preprocess153.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify106.0ms (0.9%)

localize84.0ms (0.7%)

series129.0ms (1.1%)

simplify200.0ms (1.7%)

rewrite268.0ms (2.3%)

eval91.0ms (0.8%)

prune57.0ms (0.5%)

simplify160.0ms (1.4%)

localize166.0ms (1.4%)

series168.0ms (1.4%)

simplify161.0ms (1.4%)

rewrite178.0ms (1.5%)

eval117.0ms (1%)

prune37.0ms (0.3%)

simplify102.0ms (0.9%)

localize173.0ms (1.5%)

series113.0ms (1%)

simplify157.0ms (1.3%)

rewrite191.0ms (1.6%)

eval133.0ms (1.1%)

prune39.0ms (0.3%)

simplify110.0ms (0.9%)

localize216.0ms (1.8%)

series284.0ms (2.4%)

simplify191.0ms (1.6%)

rewrite282.0ms (2.4%)

eval124.0ms (1.1%)

prune86.0ms (0.7%)

regimes276.0ms (2.4%)

regimes317.0ms (2.7%)

regimes278.0ms (2.4%)

regimes70.0ms (0.6%)

regimes37.0ms (0.3%)

regimes84.0ms (0.7%)

regimes44.0ms (0.4%)

regimes231.0ms (2%)

regimes23.0ms (0.2%)

regimes106.0ms (0.9%)

regimes43.0ms (0.4%)

regimes122.0ms (1%)

regimes104.0ms (0.9%)

regimes17.0ms (0.1%)

regimes49.0ms (0.4%)

regimes9.0ms (0.1%)

regimes18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify68.0ms (0.6%)

soundness1.7s (14.8%)

preprocess170.0ms (1.4%)

end0.0ms (0%)

Profiling